Difference between revisions of "User:Tohline/Appendix/Ramblings/RiemannB74C692"

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<tr>
<tr>
   <td align="center" rowspan="5">
   <td align="center" rowspan="6">
<b>Figure 1a</b><br />
<b>Figure 1a</b><br />&nbsp;<br />
[[File:EFE_STypeB74C692.png|325px|EFE Parameter Space]]
[[File:B74c692EFEdiagram02.png|325px|EFE Parameter Space]]
   </td>
   </td>
   <td align="center" rowspan="5" width="2%">
   <td align="center" rowspan="6" width="2%">
&nbsp;
&nbsp;
   </td>
   </td>
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<math>~\frac{b}{a} = 0.74</math>
<math>~\frac{b}{a} = 0.74</math>
   </td>
   </td>
   <td align="center" rowspan="5" width="2%">
   <td align="center" rowspan="6" width="2%">
&nbsp;
&nbsp;
   </td>
   </td>
   <td align="center" rowspan="5" bgcolor="lightgrey">
   <td align="center" rowspan="6" bgcolor="lightgrey">
<b>Figure 1b</b><br />
<b>Figure 1b</b><br />
[[File:COLLADAb74c692NewModel.png|300px|EFE Model b74c692]]
[[File:COLLADAb74c692NewModel.png|300px|EFE Model b74c692]]
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''Direct''
''Direct''
   </td>
   </td>
   <td align="center" width="2%" rowspan="3">
   <td align="center" width="2%" rowspan="4">
&nbsp;
&nbsp;
   </td>  
   </td>  
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   <td align="center">
   <td align="center">
<math>~\lambda_\mathrm{EFE} = - 0.638747 </math>
<math>~\lambda_\mathrm{EFE} = - 0.638747 </math>
  </td>
</tr>
<tr>
  <td align="center">
<math>~f = - 0.713019</math>
  </td>
  <td align="center">
<math>~f = - 6.13413 </math>
   </td>
   </td>
</tr>
</tr>
</table>
</table>


The subscript "EFE" on &Omega; and &lambda; means that the relevant frequency is given in units that have been adopted in [<b>[[User:Tohline/Appendix/References#EFE|<font color="red">EFE</font>]]</b>], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>.  In Figure 1a, the solid purple circular marker (where the pair of purple lines cross) identifies the location of this model in the "c/a versus b/a" diagram that appears as Figure 2 on p. 902 of [http://adsabs.harvard.edu/abs/1965ApJ...142..890C S. Chandrasekhar (1965)]; essentially the same diagram appears in &sect;49 (p. 147) of [<b>[[User:Tohline/Appendix/References#EFE|<font color="red">EFE</font>]]</b>].
The subscript "EFE" on &Omega; and &lambda; means that the relevant frequency is given in units that have been adopted in [<b>[[User:Tohline/Appendix/References#EFE|<font color="red">EFE</font>]]</b>], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>.  In Figure 1a, the yellow circular marker, that has been placed where the pair of purple dashed lines cross, identifies the location of this model in the "c/a versus b/a" ''[[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Fig2|EFE Diagram]]'' that appears as Figure 2 on p. 902 of [http://adsabs.harvard.edu/abs/1965ApJ...142..890C S. Chandrasekhar (1965)]; essentially the same diagram appears in &sect;49 (p. 147) of [<b>[[User:Tohline/Appendix/References#EFE|<font color="red">EFE</font>]]</b>].


==Coding Steps==
==Coding Steps==
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<table border="1" align="center" cellpadding="8">
<table border="1" align="center" cellpadding="8">
<tr>
<tr>
   <th align="center" colspan="6">''Direct''</th>
   <th align="center" colspan="8">''Direct''</th>
</tr>
</tr>
<tr>
<tr>
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   <td align="center" colspan="1">b41c385</td>
   <td align="center" colspan="1">b41c385</td>
   <td align="center" colspan="1" bgcolor="lightblue">b74c692</td>
   <td align="center" colspan="1" bgcolor="lightblue">b74c692</td>
  <td align="center" colspan="1">b90c333</td>
  <td align="center" colspan="1">b28c256</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="center">y = 0.41 &times; y<sub>0</sub></td>
   <td align="center">y = 0.41 &times; y<sub>0</sub></td>
   <td align="center">y = 0.74 &times; y<sub>0</sub></td>
   <td align="center">y = 0.74 &times; y<sub>0</sub></td>
  <td align="center">y = 0.90 &times; y<sub>0</sub></td>
  <td align="center">y = 0.28 &times; y<sub>0</sub></td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">0.0000</td>
   <td align="right">0.0000</td>
   <td align="right" bgcolor="lightblue">0.0000</td>
   <td align="right" bgcolor="lightblue">0.0000</td>
  <td align="right">0.0000</td>
  <td align="right">0.0000</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.0514</td>
   <td align="right">-0.0514</td>
   <td align="right" bgcolor="lightblue">-0.0927</td>
   <td align="right" bgcolor="lightblue">-0.0927</td>
  <td align="right">-0.1128</td>
  <td align="right">-0.0351</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.1020</td>
   <td align="right">-0.1020</td>
   <td align="right" bgcolor="lightblue">-0.1840</td>
   <td align="right" bgcolor="lightblue">-0.1840</td>
  <td align="right">-0.2238</td>
  <td align="right">-0.0696</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.1509</td>
   <td align="right">-0.1509</td>
   <td align="right" bgcolor="lightblue">-0.2724</td>
   <td align="right" bgcolor="lightblue">-0.2724</td>
  <td align="right">-0.3313</td>
  <td align="right">-0.1031</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.1975</td>
   <td align="right">-0.1975</td>
   <td align="right" bgcolor="lightblue">-0.3565</td>
   <td align="right" bgcolor="lightblue">-0.3565</td>
  <td align="right">-0.4336</td>
  <td align="right">-0.1349</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.2410</td>
   <td align="right">-0.2410</td>
   <td align="right" bgcolor="lightblue">-0.4350</td>
   <td align="right" bgcolor="lightblue">-0.4350</td>
  <td align="right">-0.5290</td>
  <td align="right">-0.1646</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.2807</td>
   <td align="right">-0.2807</td>
   <td align="right" bgcolor="lightblue">-0.5066</td>
   <td align="right" bgcolor="lightblue">-0.5066</td>
  <td align="right">-0.6161</td>
  <td align="right">-0.1917</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.3159</td>
   <td align="right">-0.3159</td>
   <td align="right" bgcolor="lightblue">-0.5702</td>
   <td align="right" bgcolor="lightblue">-0.5702</td>
  <td align="right">-0.6935</td>
  <td align="right">-0.2157</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.3462</td>
   <td align="right">-0.3462</td>
   <td align="right" bgcolor="lightblue">-0.6248</td>
   <td align="right" bgcolor="lightblue">-0.6248</td>
  <td align="right">-0.7599</td>
  <td align="right">-0.2364</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.3710</td>
   <td align="right">-0.3710</td>
   <td align="right" bgcolor="lightblue">-0.6696</td>
   <td align="right" bgcolor="lightblue">-0.6696</td>
  <td align="right">-0.8143</td>
  <td align="right">-0.2533</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.3899</td>
   <td align="right">-0.3899</td>
   <td align="right" bgcolor="lightblue">-0.7038</td>
   <td align="right" bgcolor="lightblue">-0.7038</td>
  <td align="right">-0.8560</td>
  <td align="right">-0.2663</td>
</tr>
</tr>
<tr>
<tr>
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   <td align="right">-0.4027</td>
   <td align="right">-0.4027</td>
   <td align="right" bgcolor="lightblue">-0.7269</td>
   <td align="right" bgcolor="lightblue">-0.7269</td>
  <td align="right">-0.8841</td>
  <td align="right">-0.2750</td>
</tr>
</tr>
<tr>
<tr>
   <td align="center">13</td>
   <td align="center">13</td>
  <td align="right">0.0628</td>
   <td align="right">-0.9980</td>
   <td align="right">-0.9980</td>
  <td align="right">0.0628</td>
   <td align="right">-0.4092</td>
   <td align="right">-0.4092</td>
   <td align="right" bgcolor="lightblue">-0.7385</td>
   <td align="right" bgcolor="lightblue">-0.7385</td>
  <td align="right">-0.8982</td>
  <td align="right">-0.2794</td>
</tr>
</tr>
</table>
</table>
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==COLLADA Model Files==
==COLLADA Model Files==
===''Direct'' Configurations===




<div align="center" id="Scroll1">
<div align="center" id="Scroll1">
<b>b74c692DI.dae</b> [''Direct'' Inertial Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
<b>b74c692DI.dae</b> [''Direct'' Inertial Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
<br />Original filename used above: InertialB74C692aa.dae
</div>
</div>


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<div align="center" id="Scroll2">
<div align="center" id="Scroll2">
<b>b74c692DRot.dae</b> [''Direct'' Rotating Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
<b>b74c692DRot.dae</b> [''Direct'' Rotating Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
<br />Original filename used above: TestMulti74.dae
</div>
</div>


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</div>
</div>


===''Adjoint'' Configurations===


<div align="center" id="Scroll3">
<div align="center" id="Scroll3">
<b>b74c692AI.dae</b> [''Adjunct'' Inertial Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
<b>b74c692AI.dae</b> [''Adjoint'' Inertial Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
</div>
</div>


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<div align="center" id="Scroll4">
<div align="center" id="Scroll4">
<b>b74c692ARot.dae</b> [''Adjunct'' Rotating Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
<b>b74c692ARot.dae</b> [''Adjoint'' Rotating Frame]&nbsp; &nbsp; &hellip; &nbsp; &nbsp; a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
</div>
</div>


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* Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype|Ou's Riemann-Like Ellipsoids]]
* Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype|Ou's Riemann-Like Ellipsoids]]


* [[User:Tohline/ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS|Riemann Meets COLLADA &amp; Oculus Rift S]]
* [[User:Tohline/ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS|Riemann Meets COLLADA &amp; Oculus Rift S]]: Example <b>(b/a, c/a) = (0.41, 0.385)</b>
** [[User:Tohline/Appendix/Ramblings/VirtualReality#Virtual_Reality_and_3D_Printing|Virtual Reality and 3D Printing]]
** [[User:Tohline/Appendix/Ramblings/VirtualReality#Virtual_Reality_and_3D_Printing|Virtual Reality and 3D Printing]]
** [[User:Tohline/Appendix/Ramblings/OculusRift_S|Success Importing Animated Scene into Oculus Rift S]]
** [[User:Tohline/Appendix/Ramblings/OculusRift_S|Success Importing Animated Scene into Oculus Rift S]]
** [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]]: Example <b>(b/a, c/a) = (0.41, 0.385)</b>
** [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]]
** Other Example S-type Riemann Ellipsoids:
** Other Example S-type Riemann Ellipsoids:
*** <b>[[User:Tohline/Appendix/Ramblings/RiemannB90C333|(b/a, c/a) = (0.90, 0.333)]]</b>
*** <b>[[User:Tohline/Appendix/Ramblings/RiemannB90C333|(b/a, c/a) = (0.90, 0.333)]]</b>

Latest revision as of 03:55, 14 June 2020

Another S-type Example b74c692

This chapter is an extension of the chapter we have titled, "Riemann Meets COLLADA & Oculus Rift S." In that chapter we used as our first example of a Riemann S-type ellipsoid the model with parameters, (b/a, c/a) = (0.41, 0.385). Here we construct a model with parameters, (b/a, c/a) = (0.74, 0.692). Other closely related chapters are listed below under the heading, "See Also".

Whitworth's (1981) Isothermal Free-Energy Surface
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Key Physical Parameters

The model that we have chosen to use in our second successful construction of a COLLADA-based, 3D and interactive animation has the following properties; this model has been selected from Table 2 of our accompanying discussion of Riemann S-type ellipsoids:

Figure 1a
 
EFE Parameter Space

 

<math>~\frac{b}{a} = 0.74</math>

 

Figure 1b
EFE Model b74c692

<math>~\frac{c}{a} = 0.692</math>

Direct

 

Adjoint

<math>~\Omega_\mathrm{EFE} = 0.638747</math>

<math>~\Omega_\mathrm{EFE} = - 0.217773</math>

<math>~\lambda_\mathrm{EFE} = 0.217773</math>

<math>~\lambda_\mathrm{EFE} = - 0.638747 </math>

<math>~f = - 0.713019</math>

<math>~f = - 6.13413 </math>

The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [EFE], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the yellow circular marker, that has been placed where the pair of purple dashed lines cross, identifies the location of this model in the "c/a versus b/a" EFE Diagram that appears as Figure 2 on p. 902 of S. Chandrasekhar (1965); essentially the same diagram appears in §49 (p. 147) of [EFE].

Coding Steps

Here we begin with a working model of b41c385 and use incremental changes in the COLLADA-based code to construct a working model of b74c692.

  • Pulling from the earlier modeling subsection titled, Final Touches
    • Final17.dae   TERRIFIC  !:
      Both hands of the clock now continue to cycle smoothly (through 9.126 "hours" = 9h 8m) while the laboratory frame completes 5.0 full spin periods — which will be 5.0 full spins of the ellipsoid as viewed from the inertial frame. This works in both visualization venues.
    • Inertial17.dae:
      This is identical to "Final17.dae" except that the system is viewed from the inertial frame of reference. This works in both visualization venues.
    • [KEEP] Inertial21.dae:
      Here, we set the "nudging" angle of the MidPlane to 0°, but moved the "nudging" angle of the ellipsoid from 0° to just 1°. This appears to work in both visualization venues.
  • Pulling from a different earlier subsection titled, Multiple Lagrangian Fluid Elements
    • MultiLagrange23.dae --> TestMulti23.dae:
      This model shows the motion of nine (small, red cube) Lagrange particles whose motion is confined to the equatorial plane of the Riemann ellipsoid. This nicely illustrates that the volume occupied by a region of fluid remains unchanged as the fluid moves around the ellipsoid.   This works in both visualization venues!
    • [KEEP] MultiLagrange26.dae:
      Here, we set the "nudging" angle of the MidPlane to 1°, and moved the "nudging" angle of the ellipsoid from 5° to 0°. Also, we bumped the purple's opacity up from 0.6 to 0.8. This appears to work in both visualization venues.
  • TestMulti52.dae
    Same as MultiLagrange23.dae --> TestMulti23.dae, except the starting ellipsoid angle is nudged by 45° instead of 5°.
  • [KEEP] TestMulti56.dae:
    Same as MultiLagrange26.dae, except we have attempted to replace the alpha-numeric labeling. SUCCESS! Works in all three visualization venues: Mac "Preview", PC "3D Viewer", and Oculus RIft S.
  • Facebook glTF Transmutator (v1.5)
    I am only now appreciating that, when a ".glb"-formatted file is imported into the Oculus Rift S inventory, the importation step is handled by Facebook's glTF Transmutator (v1.5).
  • TestMulti70b.dae
    Same as TestMulti56.dae, except we have inserted the correct EllipsoidOctant geometries (drawn from b74c692 Old_DRot.dae). This works in both visualization venues.
  • TestMulti71.dae
    Incorporated proper tracking of nine Lagrangian fluid elements, drawn from b74c692 Old_DI.dae, but reexplained in the subsection below titled, location_X. This works in both visualization venues.
  • TestMulti72.dae
    Incorporated (small yellow) markers that identify the orbit of a Lagrangian fluid element that lies in the equatorial plane and at the surface of the ellipsoid. The x and y coordinate values are tabulated in the subsection below titled, location_X. This works in both visualization venues. The fluid elements should be able to complete more than one orbit during the time that the ellipsoid spins 5 times; only one fluid orbit is included in this particular model.
  • TestMulti73.dae
    Successfully registered the movement of the hands on the wall-clock. This works in both visualization venues. Now, decide whether or not to extend the orbital motion of the nine Lagrangian fluid elements beyond one orbit.

This evening (1 June 2020) for the first time, I placed a couple of these animated models "outside" — that is, beyond the unwindowed balcony — of my Oculus Home environment. It was really neat seeing them hoover in the sunlight well above the steeply sloping, rocky hillside. Definitely worth the price of admission! This is fun!

  • TestMulti74.dae
    Finished product! Successfully extended the motion of the nine Lagrangian fluid elements up to the time (about 1.7 orbits) when the ellipsoid has finished its fifth spin. This works in both visualization venues.

Best b74c692 Models

The example models created for display in the Oculus Rift S are the following:

  1. Inertial Frame: [KEEP] InertialB74C692aa.dae [02 May 2020]
  2. Rotating Frame: [KEEP] TestMulti74.dae [02 June 2020]

Quantitative Animation

rotation_euler_Z

Whether the observer is viewing the system from an inertial frame of reference or a rotating frame of reference, this animation section specifies the rate at which the ellipsoid spins and the rate at which the "laboratory" is spinning. Three sets of data must be specified:

  1. The "First_rotation_euler_Z-input-array", which specifies TIME.
  2. The "First_rotation_euler_Z-output-array", which specifies how the ANGLE of orientation of the ellipsoid varies with TIME.
  3. The "Frame_rotation_euler_Z-output-array", which specifies how the spin ANGLE of the laboratory frame varies with TIME.

We have chosen to specify the time-varying angle in increments of 60° and to end the animation sequence after the ellipsoid (or, alternatively, the laboratory frame) has completed exactly five full spins. As a result — ignoring any zero-point offsets — one of the ANGLE arrays will vary from 0° to 5 × 360° = 1800° in 60° intervals (if spinning counter-clock-wise) or will vary from 1800° to 0° in -60° intervals (if spinning clock-wise). Again ignoring any zero-point offset, all the data values in the other ANGLE array will be 0°. The number of discrete data values that must be specified for each of the three arrays is therefore, by choice, count = (1800/60)+1 = 31.

All we have left to do is specify the TIME interval that is equivalent to a 60° turn of the ellipsoid, as viewed from the inertial frame of reference. Given that one cycle of the wall-clock's "minute" hand represents a frequency of <math>~[\pi G \rho]^{1 / 2}</math> and, furthermore by choice, we equate one cycle of the wall-clock's "minute" hand to TIME = 4 in COLLADA time units (approximately 4 seconds of real time), we know that one complete spin of the ellipsoid is equivalent to 4/|ΩEFE| units of TIME. Hence the ellipsoid will turn through 60° in a time, ΔTΩ = 4/[6|ΩEFE|] and it will take TIME = 20/|ΩEFE| to complete five full spins.

Direct
Model ΩEFE ΔTΩ 5 Spins
b41c385 0.547874 1.2168 36.505
b74c692 0.638747 1.0437 31.311
b90c333 0.447158 1.4909 44.727
b28c256 0.456676 1.4598 43.795

location_X

Here we illustrate the motion of one Lagrangian fluid element as it moves along an elliptical path (b/a aspect ratio) in the equatorial plane of the Riemann ellipsoid. First we acknowledge that every fluid element completes one full orbit in a COLLADA-based time of, TIMEλ = 4/|λEFE|. Dividing the orbit into 50 equally spaced intervals of time therefore specifies a time increment, ΔTλ = 4/(50 |λEFE|). Drawing from a related accompanying discussion, we recognize that at each of these points in time — that is, for n = 1 → 50 — the x and y coordinate locations of the fluid element are given by the expressions,

<math>~x_n</math>

<math>~= </math>

<math>~\cos\biggl[-2\pi (n-1)\frac{\Delta T_\lambda}{4} \cdot \lambda_\mathrm{EFE}\biggr]</math>

      and      

<math>~y_n</math>

<math>~= </math>

<math>~\biggl(\frac{b}{a}\biggr)\sin\biggl[- 2\pi (n-1)\frac{\Delta T_\lambda}{4} \cdot \lambda_\mathrm{EFE} \biggr] </math>

 

<math>~= </math>

<math>~\cos\biggl[-\frac{2\pi (n-1)}{50} \cdot \frac{\lambda_\mathrm{EFE}}{|\lambda_\mathrm{EFE}|} \biggr]</math>

 

<math>~= </math>

<math>~\biggl(\frac{b}{a}\biggr)\sin\biggl[ -\frac{2\pi (n-1)}{50} \cdot \frac{\lambda_\mathrm{EFE}}{|\lambda_\mathrm{EFE}|} \biggr] </math>

where we have assumed that the length of the longest axis of the ellipsoid is, a = 1. Note that, in the argument of these trigonometric functions, the sign of the frequency, λEFE, determines whether the fluid motion is regrograde (λEFE intrinsically positive) or prograde (λEFE intrinsically negative).

Direct
Model λEFE ΔTλ 1 Orbit Frequency
Ratio
5 × |λEFEEFE|
Count
b41c385 0.079886 1.0014 50.071 0.7291 37
b74c692 0.217773 0.3674 18.368 1.7046 86
b90c333 -0.221411 0.3613 18.066 2.4758 124
b28c256 0.020692 3.8662 193.31 0.2266 12

Here are some x-y coordinate pairs for a couple of model examples:

Direct
n Axisymmetric b41c385 b74c692 b90c333 b28c256
x0 y0 y = 0.41 × y0 y = 0.74 × y0 y = 0.90 × y0 y = 0.28 × y0
1 1.0000 0.0000 0.0000 0.0000 0.0000 0.0000
2 0.9921 -0.1253 -0.0514 -0.0927 -0.1128 -0.0351
3 0.9686 -0.2487 -0.1020 -0.1840 -0.2238 -0.0696
4 0.9298 -0.3681 -0.1509 -0.2724 -0.3313 -0.1031
5 0.8763 -0.4818 -0.1975 -0.3565 -0.4336 -0.1349
6 0.8090 -0.5878 -0.2410 -0.4350 -0.5290 -0.1646
7 0.7290 -0.6845 -0.2807 -0.5066 -0.6161 -0.1917
8 0.6374 -0.7705 -0.3159 -0.5702 -0.6935 -0.2157
9 0.5358 -0.8443 -0.3462 -0.6248 -0.7599 -0.2364
10 0.4258 -0.9048 -0.3710 -0.6696 -0.8143 -0.2533
11 0.3090 -0.9511 -0.3899 -0.7038 -0.8560 -0.2663
12 0.1874 -0.9823 -0.4027 -0.7269 -0.8841 -0.2750
13 0.0628 -0.9980 -0.4092 -0.7385 -0.8982 -0.2794

How many complete (and fractional) orbits does each Lagrangian fluid element complete in the time it takes the ellipsoid to complete five spin periods? And, as a result, how many discrete steps in time does it traverse, assuming that each orbit has been dissected into 50 pieces? The answer to the first question is given by dividing "5 Spins" by "1 Orbit"; in the table above, we label this quantity as, "Frequency Ratio," given that it is equivalent to |5 × λEFEEFE|. And the answer to the second question is,

Count

=

(50 × Frequency_Ratio) + 1 .

Cube_quaternion

Here we construct the wall-clock. First we recognize that the time required for the ellipsoid to complete "5 spins" is, as calculated above, TIME = 20/|ΩEFE|. We have also dictated that the "minute hand" on the clock will complete one full cycle — that is, it will spin through an angle that starts at 0° and runs to γ = 360° — every 4 TIME units. While watching the ellipsoid spin five times, the "minute hand" must complete M = 5/|ΩEFE| cycles.

We have chosen to model the motion of the "minute hand" by breaking each cycle (360°) into 16 equal divisions, that is, we have chosen to set Δγ = 360°/16 = 22.5°. This also means that the number of discrete time values will be INT(M × 16) + 1 = INT(80/|ΩEFE|) + 1.

To be used in the
Quaternion Array
γ (degrees) sin γ cos γ
-90.0 -1.0000 0.0000
-112.5 -0.9239 -0.3827
-135.0 -0.7071 -0.7071
-157.5 -0.3827 -0.9239
-180.0 0.0000 -1.0000
-202.5 0.3827 -0.9239
-225.0 0.7071 -0.7071
-247.5 0.9239 -0.3827
-270.0 1.0000 0.0000
-292.5 0.9239 0.3827
-315.0 0.7071 0.7071
-337.5 0.3827 0.9239
0.0 0.0000 1.0000
-22.5 -0.3827 0.9239
-45.0 -0.7071 0.7071
-67.5 -0.9239 0.3827
Clock
Model "Minute Hand"
Cycles
Discrete
Steps
N/A
b41c385 9.1261 147 ---
b74c692 7.8278 126 ---
b90c333 11.1817 179 ---
b28c256 10.9487 176

As we have detailed in a parallel discussion, at each discrete time step, the equivalent <matrix> instruction should be of the form,

<matrix>[ 0 ]   [ 0 ]   [ -Sx ]   [ Tx ]     [ Sy · sin(γ) ]   [ Sy · cos(γ) ]   [ 0 ]   [ Ty ]     [ Sz · cos(γ) ]   [ -Sz · sin(γ) ]   [ 0]   [ Tz ]     [ 0 ]   [ 0 ]   [ 0 ]   [ 1 ]</matrix> .

Note that after the clock was originally built as a separate object for these visual scenes, I realized that I needed the starting angle for both hands to be γ = +270° = -90° in order for them to be properly registered at 0h0m at the start of each animation. This is why the table of signs and cosines (immediately above) starts at -90°.

COLLADA Model Files

Direct Configurations

b74c692DI.dae [Direct Inertial Frame]    …     a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
Original filename used above: InertialB74C692aa.dae

<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
<COLLADA xmlns="http://www.collada.org/2005/11/COLLADASchema" version="1.4.1">
    <asset>
        <contributor>
            <author>jet53man</author>
            <authoring_tool>Raw XML</authoring_tool>
        </contributor>
        <created>2020-04-28</created>
        <modified>2020-05-10</modified>
        <unit meter="0.0254" name="inch" />
        <up_axis>Z_UP</up_axis>
<!-- 
This file originally was named FullLast45X.dae ...
here its assigned name is RiemannBuild05.dae (etc.)
we are inserting various objects, drawn from b41c385_DI.dae

                 <node>        <geometry>       <material>      <effect>
*** firstclock:    ID3     Clock_OuterEdge         ID6            ID5
***           :            Clock_InnerEdge       InnerID6       InnerID5
***   Jetman  :  ArrowID3  Clock_ArrowEdge       ArrowID6       ArrowID5
***  HourHand :  HourID3   Clock_HourEdge        HourID6        HourID5
-->
    </asset>
    <library_effects>
        <effect id="DiffusePurple_00">
            <profile_COMMON>
                <technique sid="COMMON">
                    <phong>
                        <diffuse>
                            <color>0.5 0.0 0.99  1.0</color>
                        </diffuse>
                        <transparency>
               <float sid="transparency">1.0</float>
                        </transparency>
                    </phong>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="DiffuseRed_EFE">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>1.0 0.0 0.0  1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
<!-- effect:  MidPlane Frame -->
        <effect id="MidPlaneID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.0 0.0 0.6 0.5</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
<!-- effect:  Cylindrical Pointer -->
        <effect id="CylID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.0 0.0 0.0 1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="MarkersID5">
          <profile_COMMON>
            <technique sid="COMMON">
              <lambert>
                <diffuse>
                  <color>1 1 0 1</color>
                </diffuse>
              </lambert>
            </technique>
          </profile_COMMON>
        </effect>
<!-- effect:  Letters -->
        <effect id="LettersID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 0 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="DiagonalID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 1 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="Black_DiagonalID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 0 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
<!-- effect:  Four Clock Components -->
        <effect id="ID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 1 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="InnerID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.4 0.0 0.7 0.4</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="ArrowID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>1.0 0.0 0.0 1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="HourID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.0 0.0 0.0 1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
    </library_effects>
    <library_materials>
<!-- material:  Four Clock Components -->
        <material id="ID6" name="material">
            <instance_effect url="#ID5" />
        </material>
        <material id="InnerID6" name="Inner_material">
            <instance_effect url="#InnerID5" />
        </material>
        <material id="ArrowID6" name="Arrow_material">
            <instance_effect url="#ArrowID5" />
        </material>
        <material id="HourID6" name="Hour_material">
            <instance_effect url="#HourID5" />
        </material>
        <material id="ID6_EFE" name="material">
            <instance_effect url="#DiffusePurple_00" />
        </material>
<!-- material:  MidPlane Frame -->
        <material id="MidPlaneID6" name="MidPlane_material">
            <instance_effect url="#MidPlaneID5" />
        </material>
<!-- material:  Cylindrical Pointer -->
        <material id="CylID6" name="Cyl_material">
            <instance_effect url="#CylID5" />
        </material>
        <material id="ZupID6" name="Zup_material">
            <instance_effect url="#MidPlaneID5" />
        </material>
        <material id="MarkersID6" name="markers_material">
            <instance_effect url="#MarkersID5" />
        </material>
        <material id="Primary_MarkerID6" name="primary_marker_material">
            <instance_effect url="#DiffuseRed_EFE" />
        </material>
<!-- material:  Letters -->
        <material id="LettersID6" name="material">
            <instance_effect url="#LettersID5" />
        </material>
        <material id="DiagonalID6" name="material">
            <instance_effect url="#DiagonalID5" />
        </material>
        <material id="Black_DiagonalID6" name="material">
            <instance_effect url="#Black_DiagonalID5" />
        </material>
    </library_materials>
    <library_nodes>
<!-- node:  Three clock components -->
        <node id="ID3" name="cube_component">
            <instance_geometry url="#Clock_OuterEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
            <instance_geometry url="#Clock_InnerEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#InnerID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="ArrowID3" name="cube_component">
            <instance_geometry url="#Clock_ArrowEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ArrowID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="HourID3" name="hour_hand">
            <instance_geometry url="#Clock_HourEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#HourID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="ID3_EFE" name="cube_componentEFE">
            <instance_geometry url="#EllipsoidOctant">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ID6_EFE">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
            <instance_geometry url="#ReflectOctant">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ID6_EFE">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
<!-- node:  MidPlane Frame -->
        <node id="EqPlane" name="equatorial_plane">
            <instance_geometry url="#EquatorialPlane">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#MidPlaneID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
<!-- node:  Cylindrical Pointer -->
        <node id="CylPointer" name="cylindrical_component">
            <instance_geometry url="#Cylinder">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#CylID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="ZupPointer" name="Zup_component">
            <instance_geometry url="#CubeID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ZupID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="MarkersID3" name="Lagrange_markers">
          <instance_geometry url="#CubeID4">
            <bind_material>
              <technique_common>
                <instance_material symbol="Material2" target="#MarkersID6">
                  <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                </instance_material>
              </technique_common>
            </bind_material>
          </instance_geometry>
        </node>
        <node id="Primary_MarkerID3" name="Primary_marker">
          <instance_geometry url="#CubeID4">
            <bind_material>
              <technique_common>
                <instance_material symbol="Material2" target="#Primary_MarkerID6">
                  <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                </instance_material>
              </technique_common>
            </bind_material>
          </instance_geometry>
        </node>
<!-- node:  Letters -->
        <node id="LettersID3" name="cube_component">
            <instance_geometry url="#CubeID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#LettersID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="DiagonalID3" name="diagonal_component">
            <instance_geometry url="#DiagonalID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#DiagonalID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="Black_DiagonalID3" name="Blackdiagonal_component">
            <instance_geometry url="#DiagonalID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#Black_DiagonalID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
    </library_nodes>
    <library_geometries>
<!-- geometry:  Four Clock Components -->
        <geometry id="Clock_OuterEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert first portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_Positions">
                  <float_array id="Coordinates01" count="123"> 0.0  1.0  0.2 1.0  1.0  0.2 1.0  0.0  0.2 1.0 -1.0  0.2 0.0 -1.0  0.2 -1.0 -1.0  0.2 -1.0  0.0  0.2 -1.0  1.0  0.2 0.0  1.0 -0.2 1.0  1.0 -0.2 1.0  0.0 -0.2 1.0 -1.0 -0.2 0.0 -1.0 -0.2 -1.0 -1.0 -0.2 -1.0  0.0 -0.2 -1.0  1.0 -0.2 0.9  0.0  0.2 0.779423 0.45 0.2 0.45 0.779423 0.2 0.0  0.9  0.2 -0.45 0.779423 0.2 -0.779423 0.45 0.2 -0.9 0.0 0.2 -0.779423 -0.45 0.2 -0.45 -0.779423 0.2 0.0 -0.9 0.2 0.45 -0.779423 0.2 0.779423 -0.45 0.2 -0.9  0.0  -0.2 -0.779423 0.45 -0.2 -0.45 0.779423 -0.2 -0.0  0.9  -0.2 0.45 0.779423 -0.2 0.779423 0.45 -0.2 0.9 0.0 -0.2 0.779423 -0.45 -0.2 0.45 -0.779423 -0.2 -0.0 -0.9 -0.2 -0.45 -0.779423 -0.2 -0.779423 -0.45 -0.2  0.0 0.0 -0.2</float_array>
                  <technique_common>
                    <accessor source="#Coordinates01" count="41" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_Normals">
                  <float_array id="InnerNormals01" count="18">
 1.0  0.0  0.0
-1.0  0.0  0.0
 0.0  1.0  0.0
 0.0 -1.0  0.0
 0.0  0.0  1.0
 0.0  0.0 -1.0
                  </float_array>
                    <technique_common>
                        <accessor source="#InnerNormals01" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_Vertices">
                    <input semantic="POSITION" source="#Clock_Positions" />
                </vertices>
                <polylist count="56" material="Material2">
                    <input semantic="VERTEX" source="#Clock_Vertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_Normals" offset="1" />
<vcount> 3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3</vcount>
<p> 0 2 1 2 8 2  1 2 9 2 8 2  7 2 0 2 15 2  0 2 8 2 15 2 1 0 2 0 9 0  2 0 10 0 9 0  2 0 3 0 10 0  3 0 11 0 10 0 3 3 4 3 11 3  4 3 12 3 11 3  4 3 5 3 12 3  5 3 13 3 12 3 5 1 6 1 13 1  6 1 14 1 13 1  6 1 7 1 14 1  7 1 15 1 14 1 2 4 17 4 16 4  2 4 1 4 17 4  1 4 18 4 17 4  1 4 0 4 18 4  0 4 19 4 18 4 0 4 20 4 19 4  0 4 7 4 20 4  7 4 21 4 20 4  7 4 6 4 21 4  6 4 22 4 21 4 6 4 23 4 22 4  6 4 5 4 23 4  5 4 24 4 23 4  5 4 4 4 24 4  4 4 25 4 24 4 4 4 26 4 25 4  4 4 3 4 26 4  3 4 27 4 26 4  3 4 2 4 27 4  2 4 16 4 27 4 14 5 29 5 28 5  14 5 15 5 29 5  15 5 30 5 29 5  15 5 8 5 30 5  8 5 31 5 30 5 8 5 32 5 31 5  8 5 9 5 32 5  9 5 33 5 32 5  9 5 10 5 33 5  10 5 34 5 33 5 10 5 35 5 34 5  10 5 11 5 35 5  11 5 36 5 35 5  11 5 12 5 36 5  12 5 37 5 36 5 12 5 38 5 37 5  12 5 13 5 38 5  13 5 39 5 38 5  13 5 14 5 39 5  14 5 28 5 39 5 </p>
                </polylist>
            </mesh>
        </geometry>
        <geometry id="Clock_InnerEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert second portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_InnerPositions">
                  <float_array id="InnerCoordinates01" count="123">
0.0  1.0  0.2 1.0  1.0  0.2 1.0  0.0  0.2 1.0 -1.0  0.2 0.0 -1.0  0.2 -1.0 -1.0  0.2 -1.0  0.0  0.2 -1.0  1.0  0.2 0.0  1.0 -0.2 1.0  1.0 -0.2 1.0  0.0 -0.2 1.0 -1.0 -0.2 0.0 -1.0 -0.2 -1.0 -1.0 -0.2 -1.0  0.0 -0.2 -1.0  1.0 -0.2 0.9  0.0  0.2 0.779423 0.45 0.2 0.45 0.779423 0.2 0.0  0.9  0.2 -0.45 0.779423 0.2 -0.779423 0.45 0.2 -0.9 0.0 0.2 -0.779423 -0.45 0.2 -0.45 -0.779423 0.2 0.0 -0.9 0.2 0.45 -0.779423 0.2 0.779423 -0.45 0.2 -0.9  0.0  -0.2 -0.779423 0.45 -0.2 -0.45 0.779423 -0.2 -0.0  0.9  -0.2 0.45 0.779423 -0.2 0.779423 0.45 -0.2 0.9 0.0 -0.2 0.779423 -0.45 -0.2 0.45 -0.779423 -0.2 -0.0 -0.9 -0.2 -0.45 -0.779423 -0.2 -0.779423 -0.45 -0.2  0.0 0.0 -0.2</float_array>
                  <technique_common>
                    <accessor source="#InnerCoordinates01" count="41" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_InnerNormals">
                  <float_array id="InnerNormals01" count="54">
 1.0  0.0  0.0
-1.0  0.0  0.0
 0.0  1.0  0.0
 0.0 -1.0  0.0
 0.0  0.0  1.0
 0.0  0.0 -1.0
 -0.965926 -0.258819 0.0
 -0.707107 -0.707107 0.0
 -0.258819 -0.965926 0.0
  0.258819 -0.965926 0.0
  0.707107 -0.707107 0.0
  0.965926 -0.258819 0.0
  0.965926  0.258819 0.0
  0.707107  0.707107 0.0
  0.258819  0.965926 0.0
 -0.258819  0.965926 0.0
 -0.707107  0.707107 0.0
 -0.965926  0.258819 0.0
                  </float_array>
                    <technique_common>
                        <accessor source="#InnerNormals01" count="18" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_InnerVertices">
                    <input semantic="POSITION" source="#Clock_InnerPositions" />
                </vertices>
                <polylist count="24" material="Material2">
                    <input semantic="VERTEX" source="#Clock_InnerVertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_InnerNormals" offset="1"/>
<vcount>4 4 4 4  4 4 4 4  4 4 4 4  3 3 3 3  3 3 3 3  3 3 3 3</vcount>
<p> 16 6 17 6 33 6 34 6 17 7 18 7 32 7 33 7 18 8 19 8 31 8 32 8 19 9 20 9 30 9 31 9 20 10 21 10 29 10 30 10 21 11 22 11 28 11 29 11 22 12 23 12 39 12 28 12 23 13 24 13 38 13 39 13 24 14 25 14 37 14 38 14 25 15 26 15 36 15 37 15 26 16 27 16 35 16 36 16 27 17 16 17 34 17 35 17 28 5 29 5 40 5 29 5 30 5 40 5 30 5 31 5 40 5 31 5 32 5 40 5 32 5 33 5 40 5 33 5 34 5 40 5 34 5 35 5 40 5 35 5 36 5 40 5 36 5 37 5 40 5 37 5 38 5 40 5 38 5 39 5 40 5 39 5 28 5 40 5 </p>
              </polylist>
            </mesh>
        </geometry>
        <geometry id="Clock_ArrowEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert arrow portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_ArrowPositions">
                  <float_array id="ArrowCoordinates01" count="30"> 0.0  0.85 0.25 0.1  0.0 0.25 0.0 -0.2 0.25 -0.1  0.0 0.25 0.0  0.85 0.05 0.1  0.0 0.05 0.0 -0.2 0.05 -0.1  0.0 0.05 0.0  0.0 0.25 0.0  0.0 0.05 </float_array>
                  <technique_common>
                    <accessor source="#ArrowCoordinates01" count="10" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_ArrowNormals">
                  <float_array id="ArrowNormals01" count="18">
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 0  0 -1
 0.993151  0.116841 0.0
 0.447214 -0.894427 0.0
-0.447214 -0.894427 0.0
-0.993151  0.116841 0.0
                  </float_array>
                    <technique_common>
                        <accessor source="#ArrowNormals01" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_ArrowVertices">
                    <input semantic="POSITION" source="#Clock_ArrowPositions" />
                </vertices>
                <polylist count="12" material="Material2">
                    <input semantic="VERTEX" source="#Clock_ArrowVertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_ArrowNormals" offset="1"/>
<vcount>3 3 3 3 3 3 3 3 4 4 4 4</vcount>
<p> 0 0 8 0 1 0 1 0 8 0 2 0 2 0 8 0 3 0 3 0 8 0 0 0 4 1 5 1 9 1 5 1 6 1 9 1 6 1 7 1 9 1 7 1 4 1 9 1 0 2 1 2 5 2 4 2 1 3 2 3 6 3 5 3 2 4 3 4 7 4 6 4 3 5 0 5 4 5 7 5 </p>
              </polylist>
            </mesh>
        </geometry>
        <geometry id="Clock_HourEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert hour_hand portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_HourPositions">
                  <float_array id="HourCoordinates01" count="30"> 0.0  0.85 0.25 0.1  0.0 0.25 0.0 -0.2 0.25 -0.1  0.0 0.25 0.0  0.85 0.05 0.1  0.0 0.05 0.0 -0.2 0.05 -0.1  0.0 0.05 0.0  0.0 0.25 0.0  0.0 0.05 </float_array>
                  <technique_common>
                    <accessor source="#HourCoordinates01" count="10" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_HourNormals">
                  <float_array id="HourNormals01" count="18">
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 0  0 -1
 0.993151  0.116841 0.0
 0.447214 -0.894427 0.0
-0.447214 -0.894427 0.0
-0.993151  0.116841 0.0
                  </float_array>
                    <technique_common>
                        <accessor source="#HourNormals01" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_HourVertices">
                    <input semantic="POSITION" source="#Clock_HourPositions" />
                </vertices>
                <polylist count="12" material="Material2">
                    <input semantic="VERTEX" source="#Clock_HourVertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_HourNormals" offset="1"/>
<vcount>3 3 3 3 3 3 3 3 4 4 4 4</vcount>
<p> 0 0 8 0 1 0 1 0 8 0 2 0 2 0 8 0 3 0 3 0 8 0 0 0 4 1 5 1 9 1 5 1 6 1 9 1 6 1 7 1 9 1 7 1 4 1 9 1 0 2 1 2 5 2 4 2 1 3 2 3 6 3 5 3 2 4 3 4 7 4 6 4 3 5 0 5 4 5 7 5 </p>
              </polylist>
            </mesh>
        </geometry>
<!-- geometry:  Letters -->
        <geometry id="CubeID4">
            <mesh>
                <source id="CubeID7_Positions">
                    <float_array id="CoordinatesID10" count="24">
   -0.5  -0.5  -0.5
   -0.5  -0.5   0.5
   -0.5   0.5  -0.5
   -0.5   0.5   0.5
    0.5  -0.5  -0.5
    0.5  -0.5   0.5
    0.5   0.5  -0.5
    0.5   0.5   0.5
                    </float_array>
                    <technique_common>
                        <accessor source="#CoordinatesID10" count="8" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <source id="CubeID8_Normals">
                    <float_array id="NormalsID11" count="18">
    0  0 -1
    0  0  1
    0 -1  0
    0  1  0
   -1  0  0
    1  0  0
                    </float_array>
                    <technique_common>
                        <accessor source="#NormalsID11" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="CubeID9_Vertices">
                    <input semantic="POSITION" source="#CubeID7_Positions" />
                </vertices>
                <polylist count="12" material="Material2">
                    <input semantic="VERTEX" source="#CubeID9_Vertices" offset="0" />
                    <input semantic="NORMAL" source="#CubeID8_Normals" offset="1" />
<vcount>3 3 3 3  3 3 3 3  3 3 3 3</vcount>
<p>
0 0 2 0 6 0  0 0 6 0 4 0
1 1 7 1 3 1  1 1 5 1 7 1
0 2 4 2 5 2  0 2 5 2 1 2
2 3 3 3 7 3  2 3 7 3 6 3
0 4 1 4 3 4  0 4 3 4 2 4
4 5 6 5 7 5  4 5 7 5 5 5
</p>
                </polylist>
          </mesh>
        </geometry>
        <geometry id="DiagonalID4">
            <mesh>
                <source id="DiagonalID7_Positions">
                    <float_array id="Diag_CoordinatesID10" count="24">
   -0.5  -0.5  -0.5
   -0.5  -0.5   0.5
   -0.5   0.5  -0.5
   -0.5   0.5   0.5
    0.5  -0.5  -0.5
    0.5  -0.5   0.5
    0.5   0.5  -0.5
    0.5   0.5   0.5
                    </float_array>
                    <technique_common>
                        <accessor source="#Diag_CoordinatesID10" count="8" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <source id="DiagonalID8_Normals">
                    <float_array id="Diagonal_NormalsID11" count="21">
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    0  0  1
    0 -1  0
    0  1  0
   -1  0  0
    1  0  0
    0  -0.707 0.707
                    </float_array>
                    <technique_common>
                        <accessor source="#Diagonal_NormalsID11" count="7" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="DiagonalID9_Vertices">
                    <input semantic="POSITION" source="#DiagonalID7_Positions" />
                </vertices>
                <polylist count="8" material="Material2">
                    <input semantic="VERTEX" source="#DiagonalID9_Vertices" offset="0" />
                    <input semantic="NORMAL" source="#DiagonalID8_Normals" offset="1" />
<vcount>3 3 3 3  3 3 3 3</vcount>
<p>
0 0 2 0 6 0  0 0 6 0 4 0
2 3 3 3 7 3  2 3 7 3 6 3
0 4 3 4 2 4  4 5 6 5 7 5
0 6 7 6 3 6  0 6 4 6 7 6
</p>
                </polylist>
          </mesh>
        </geometry>
<!-- geometry:  Cubes for Lagrangian Markers -->
        <geometry id="CubeID4">
            <mesh>
                <source id="CubeID7_Positions">
                    <float_array id="CoordinatesID10" count="24">
   -0.5  -0.5  -0.5
   -0.5  -0.5   0.5
   -0.5   0.5  -0.5
   -0.5   0.5   0.5
    0.5  -0.5  -0.5
    0.5  -0.5   0.5
    0.5   0.5  -0.5
    0.5   0.5   0.5
                    </float_array>
                    <technique_common>
                        <accessor source="#CoordinatesID10" count="8" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <source id="CubeID8_Normals">
                    <float_array id="NormalsID11" count="18">
    0  0 -1
    0  0  1
    0 -1  0
    0  1  0
   -1  0  0
    1  0  0
                    </float_array>
                    <technique_common>
                        <accessor source="#NormalsID11" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="CubeID9_Vertices">
                    <input semantic="POSITION" source="#CubeID7_Positions" />
                </vertices>
                <polylist count="12" material="Material2">
                    <input semantic="VERTEX" source="#CubeID9_Vertices" offset="0" />
                    <input semantic="NORMAL" source="#CubeID8_Normals" offset="1" />
<vcount>3 3 3 3  3 3 3 3  3 3 3 3</vcount>
<p>
0 0 2 0 6 0  0 0 6 0 4 0
1 1 7 1 3 1  1 1 5 1 7 1
0 2 4 2 5 2  0 2 5 2 1 2
2 3 3 3 7 3  2 3 7 3 6 3
0 4 1 4 3 4  0 4 3 4 2 4
4 5 6 5 7 5  4 5 7 5 5 5
</p>
                </polylist>
          </mesh>
        </geometry>
<!-- geometry:  Cylindrical Pointer -->
        <geometry id="Cylinder">
            <mesh>
                <source id="Cyl_Positions">
<float_array id="CylCoords01" count="54">
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  -1.0  -0.3827   0.9239
  -1.0   0.3827   0.9239
  -1.0   0.9239   0.3827
  -1.0   0.9239  -0.3827
  -1.0   0.3827  -0.9239
  -1.0  -0.3827  -0.9239
  -1.0  -0.9239  -0.3827
  -1.0   0.0000   0.0000
   1.0  -0.9239   0.3827
   1.0  -0.3827   0.9239
   1.0   0.3827   0.9239
   1.0   0.9239   0.3827
   1.0   0.9239  -0.3827
   1.0   0.3827  -0.9239
   1.0  -0.3827  -0.9239
   1.0  -0.9239  -0.3827
   1.5   0.0000   0.0000
</float_array>
                  <technique_common>
                    <accessor source="#CylCoords01" count="18" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Cyl_Normals">
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    1.0  0.0  0.0
   -1.0  0.0  0.0
    0.0  1.0  0.0
    0.0 -1.0  0.0
    0.0  0.0  1.0
    0.0  0.0 -1.0
    0.0  0.7071  0.7071
    0.0  0.7071 -0.7071
    0.0 -0.7071  0.7071
    0.0 -0.7071 -0.7071
    0.8795  -0.3365   0.3365
    0.8795   0.0000   0.4760
    0.8795   0.3365   0.3365
    0.8795   0.4760   0.0000
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    0.8795  -0.3365  -0.3365
    0.8795  -0.4760   0.0000
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                    <technique_common>
                        <accessor source="#CylNormals01" count="18" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Cyl_Vertices">
                    <input semantic="POSITION" source="#Cyl_Positions" />
                </vertices>
                <polylist count="32" material="Material2">
                    <input semantic="VERTEX" source="#Cyl_Vertices" offset="0" />
                    <input semantic="NORMAL" source="#Cyl_Normals" offset="1" />
<vcount>3 3 3 3  3 3 3 3  3 3 3 3  3 3 3 3  3 3 3 3  3 3 3 3  3 3 3 3  3 3 3 3</vcount>
<p>
  0 1  1 1  8 1
  1 1  2 1  8 1
  2 1  3 1  8 1
  3 1  4 1  8 1
  4 1  5 1  8 1
  5 1  6 1  8 1
  6 1  7 1  8 1
  7 1  0 1  8 1
  10 10   9 10  17 10
  11 11  10 11  17 11
  12 12  11 12  17 12
  13 13  12 13  17 13
  14 14  13 14  17 14
  15 15  14 15  17 15
  16 16  15 16  17 16
   9 17  16 17  17 17
   0 8   9 8   1 8
   1 8   9 8  10 8
   1 4  10 4   2 4
   2 4  10 4  11 4
   2 6  11 6   3 6
   3 6  11 6  12 6
   3 2  12 2   4 2
   4 2  12 2  13 2
   4 7  13 7   5 7
   5 7  13 7  14 7
   5 5  14 5   6 5
   6 5  14 5  15 5
   6 9  15 9   7 9
   7 9  15 9  16 9
   7 3  16 3   0 3
   0 3  16 3   9 3
</p>
                </polylist>
            </mesh>
        </geometry>
<!--
            **********************************************
            *
            *  Insert Geometry of Ellipsoid Octant
            *
            **********************************************
-->
<geometry id="EllipsoidOctant">
  <mesh>
<source id="Ellipsoid_Positions">
<float_array id="Ellipsoid_Coordinates" count=" 1563">
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<technique_common>
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        <param name="Y" type="float" />
        <param name="Z" type="float" />
  </accessor>
</technique_common>
</source>
<source id="Ellipsoid_Normals">
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<technique_common>
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        <param name="Y" type="float" />
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</technique_common>
</source>
<source id="Reflect_Normals">
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</technique_common>
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</geometry>
<!-- EquatorialPlane (begin) -->
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</vertices>
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</polylist>
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</geometry>
<!-- EquatorialPlane (end)   -->
    </library_geometries>
    <library_animations>
  <animation id="First_rotation_euler_Z">
<!-- for EFE/Ou model b74c692, clockstop = 31.311 and anglestop = 1800.0 -->
<!-- this means that one 360 degree turn of the ellipsoid takes 6.2623 clock units -->
<!-- For b74c692, change delta_T to 1.043710 (this is time it takes to spin 60 degrees) -->
    <source id="First_rotation_euler_Z-input">
      <float_array id="First_rotation_euler_Z-input-array" count="31">
   0.000
   1.044
   2.087
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   4.175
   5.219
   6.262
   7.306
   8.350
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      </float_array>
      <technique_common>
          <accessor source="#First_rotation_euler_Z-input-array" count="31" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
<!-- This sets the spin rate of the "Entire" ellipsoid -->
    <source id="First_rotation_euler_Z-output">
      <float_array id="First_rotation_euler_Z-output-array" count="31">
     1.0
    61.0
   121.0
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   241.0
   301.0
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   661.0
   721.0
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      </float_array>
      <technique_common>
          <accessor source="#First_rotation_euler_Z-output-array" count="31" stride="1">
            <param name="ANGLE" type="float"/>
          </accessor>
      </technique_common>
    </source>
<!-- This sets the spin rate of the "MidPlane" Frame of reference -->
    <source id="Frame_rotation_euler_Z-output">
      <float_array id="Frame_rotation_euler_Z-output-array" count="31">
     0.0
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     0.0
     0.0
     0.0
     0.0
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      </float_array>
      <technique_common>
          <accessor source="#Frame_rotation_euler_Z-output-array" count="31" stride="1">
            <param name="ANGLE" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="First_rotation_euler_Z-sampler">
      <input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
      <input semantic="OUTPUT" source="#First_rotation_euler_Z-output"/>
    </sampler>
    <sampler id="Frame_rotation_euler_Z-sampler">
      <input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
      <input semantic="OUTPUT" source="#Frame_rotation_euler_Z-output"/>
    </sampler>
    <channel source="#First_rotation_euler_Z-sampler" target="EntireEllipsoid/rotationZ.ANGLE"/>
    <channel source="#Frame_rotation_euler_Z-sampler" target="Inertial/rotationZ.ANGLE"/>
  </animation>
<!-- FLUID ELEMENT 1 -->
  <animation id="FluidElement1_location">
    <source id="Lagrange1_location_X-input">
      <float_array id="Lagrange1_location_X-input-array" count="   86">
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      </float_array>
      <technique_common>
          <accessor source="#Lagrange1_location_X-input-array" count="   86" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="Lagrange1_location_X-output">
      <float_array id="Lagrange1_location_X-output-array" count="   86">
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      <technique_common>
          <accessor source="#Lagrange1_location_X-output-array" count="   86" stride="1">
            <param name="X" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="Lagrange1_location_X-sampler">
      <input semantic="INPUT" source="#Lagrange1_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange1_location_X-output"/>
    </sampler>
    <source id="Lagrange1_location_Y-output">
      <float_array id="Lagrange1_location_Y-output-array" count="   86">
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      <technique_common>
          <accessor source="#Lagrange1_location_Y-output-array" count="   86" stride="1">
            <param name="Y" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="Lagrange1_location_Y-sampler">
      <input semantic="INPUT" source="#Lagrange1_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange1_location_Y-output"/>
    </sampler>
    <channel source="#Lagrange1_location_X-sampler" target="Lagrange01/location.X"/>
    <channel source="#Lagrange1_location_Y-sampler" target="Lagrange01/location.Y"/>
    <channel source="#Lagrange1_location_X-sampler" target="Lagrange02/location.X"/>
    <channel source="#Lagrange1_location_Y-sampler" target="Lagrange02/location.Y"/>
    <channel source="#Lagrange1_location_X-sampler" target="Lagrange03/location.X"/>
    <channel source="#Lagrange1_location_Y-sampler" target="Lagrange03/location.Y"/>
</animation>
<!-- FLUID ELEMENT 4 -->
  <animation id="FluidElement4_location">
    <source id="Lagrange4_location_X-input">
      <float_array id="Lagrange4_location_X-input-array" count="   86">
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 14.3269
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 16.5310
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 23.1434
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 24.9801
 25.3475
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 26.0822
 26.4496
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 27.1843
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 30.8578
 31.2252
      </float_array>
      <technique_common>
          <accessor source="#Lagrange4_location_X-input-array" count="   86" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="Lagrange4_location_X-output">
      <float_array id="Lagrange4_location_X-output-array" count="   86">
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      <technique_common>
          <accessor source="#Lagrange4_location_X-output-array" count="   86" stride="1">
            <param name="X" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="Lagrange4_location_X-sampler">
      <input semantic="INPUT" source="#Lagrange4_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange4_location_X-output"/>
    </sampler>
    <source id="Lagrange4_location_Y-output">
      <float_array id="Lagrange4_location_Y-output-array" count="   86">
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      </float_array>
      <technique_common>
          <accessor source="#Lagrange4_location_Y-output-array" count="   86" stride="1">
            <param name="Y" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="Lagrange4_location_Y-sampler">
      <input semantic="INPUT" source="#Lagrange4_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange4_location_Y-output"/>
    </sampler>
    <channel source="#Lagrange4_location_X-sampler" target="Lagrange04/location.X"/>
    <channel source="#Lagrange4_location_Y-sampler" target="Lagrange04/location.Y"/>
    <channel source="#Lagrange4_location_X-sampler" target="Lagrange05/location.X"/>
    <channel source="#Lagrange4_location_Y-sampler" target="Lagrange05/location.Y"/>
    <channel source="#Lagrange4_location_X-sampler" target="Lagrange06/location.X"/>
    <channel source="#Lagrange4_location_Y-sampler" target="Lagrange06/location.Y"/>
</animation>
<!-- FLUID ELEMENT 7 -->
  <animation id="FluidElement7_location">
    <source id="Lagrange7_location_X-input">
      <float_array id="Lagrange7_location_X-input-array" count="   86">
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      </float_array>
      <technique_common>
          <accessor source="#Lagrange7_location_X-input-array" count="   86" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="Lagrange7_location_X-output">
      <float_array id="Lagrange7_location_X-output-array" count="   86">
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      <technique_common>
          <accessor source="#Lagrange7_location_X-output-array" count="   86" stride="1">
            <param name="X" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="Lagrange7_location_X-sampler">
      <input semantic="INPUT" source="#Lagrange7_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange7_location_X-output"/>
    </sampler>
    <source id="Lagrange7_location_Y-output">
      <float_array id="Lagrange7_location_Y-output-array" count="   86">
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      <technique_common>
          <accessor source="#Lagrange7_location_Y-output-array" count="   86" stride="1">
            <param name="Y" type="float"/>
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    </source>
    <sampler id="Lagrange7_location_Y-sampler">
      <input semantic="INPUT" source="#Lagrange7_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange7_location_Y-output"/>
    </sampler>
    <channel source="#Lagrange7_location_X-sampler" target="Lagrange07/location.X"/>
    <channel source="#Lagrange7_location_Y-sampler" target="Lagrange07/location.Y"/>
    <channel source="#Lagrange7_location_X-sampler" target="Lagrange08/location.X"/>
    <channel source="#Lagrange7_location_Y-sampler" target="Lagrange08/location.Y"/>
    <channel source="#Lagrange7_location_X-sampler" target="Lagrange09/location.X"/>
    <channel source="#Lagrange7_location_Y-sampler" target="Lagrange09/location.Y"/>
</animation>
<!-- CLOCK (clockstop = 36.5047) 
     One spin of ellipsoid (or frame) is 1.8252 EFE sqrt(pi * G * rho) units;
     Want 1 EFE unit to take 4.0 seconds of TIME;
     Hence, one spin of ellipsoid (360 degrees) is 7.3009 seconds of TIME;
            and 5 ellipsoid spins is 36.5047 seconds of TIME.
     Divide one spin (360) into 12 pieces 
     ==> 30 degrees = 1 timestep = 4 x 0.1521 = 0.6084 seconds of TIME.
-->
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    28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25
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   0.000  0.000 -1.00  0.00  -0.3827 -0.9239  0.000  0.000  -0.9239  0.3827  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.0000 -1.0000  0.000  0.000  -1.0000  0.0000  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.3827 -0.9239  0.000  0.000  -0.9239 -0.3827  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.7071 -0.7071  0.000  0.000  -0.7071 -0.7071  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.9239 -0.3827  0.000  0.000  -0.3827 -0.9239  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   1.0000  0.0000  0.000  0.000   0.0000 -1.0000  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.9239  0.3827  0.000  0.000   0.3827 -0.9239  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.7071  0.7071  0.000  0.000   0.7071 -0.7071  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.3827  0.9239  0.000  0.000   0.9239 -0.3827  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.0000  1.0000  0.000  0.000   1.0000  0.0000  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -0.3827  0.9239  0.000  0.000   0.9239  0.3827  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -0.7071  0.7071  0.000  0.000   0.7071  0.7071  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -0.9239  0.3827  0.000  0.000   0.3827  0.9239  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -1.0000  0.0000  0.000  0.000   0.0000  1.0000  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -0.9239 -0.3827  0.000  0.000  -0.3827  0.9239  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -0.7071 -0.7071  0.000  0.000  -0.7071  0.7071  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -0.3827 -0.9239  0.000  0.000  -0.9239  0.3827  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.0000 -1.0000  0.000  0.000  -1.0000  0.0000  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.3827 -0.9239  0.000  0.000  -0.9239 -0.3827  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.7071 -0.7071  0.000  0.000  -0.7071 -0.7071  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.9239 -0.3827  0.000  0.000  -0.3827 -0.9239  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   1.0000  0.0000  0.000  0.000   0.0000 -1.0000  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.9239  0.3827  0.000  0.000   0.3827 -0.9239  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.7071  0.7071  0.000  0.000   0.7071 -0.7071  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.3827  0.9239  0.000  0.000   0.9239 -0.3827  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00   0.0000  1.0000  0.000  0.000   1.0000  0.0000  0.000  0.00   0.000  0.000  0.000  1.000
   0.000  0.000 -1.00  0.00  -0.3827  0.9239  0.000  0.000   0.9239  0.3827  0.000  0.00   0.000  0.000  0.000  1.000
      </float_array>
      <technique_common>
          <accessor source="#Cube_quaternion_Z-output-array" count="  126" stride="16">
            <param name="TRANSFORM" type="float4x4"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="Cube_quaternion_Z-sampler">
      <input semantic="INPUT" source="#Cube_quaternion_Z-input"/>
      <input semantic="OUTPUT" source="#Cube_quaternion_Z-output"/>
    </sampler>
    <channel source="#Cube_quaternion_Z-sampler" target="Jetman/transformation"/>
  </animation>
<!-- HOURHAND (clockstop =    36.5047) -->
  <animation id="HourHand_euler_Z">
    <source id="HourHand_euler_Z-input">
      <float_array id="HourHand_euler_Z-input-array" count="  126">
     0.00  0.25  0.50  0.75  1.00  1.25  1.50  1.75  2.00  2.25  2.50  2.75  3.00  3.25  3.50  3.75
     4.00  4.25  4.50  4.75  5.00  5.25  5.50  5.75  6.00  6.25  6.50  6.75  7.00  7.25  7.50  7.75
     8.00  8.25  8.50  8.75  9.00  9.25  9.50  9.75 10.00 10.25 10.50 10.75 11.00 11.25 11.50 11.75
    12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75
    16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75
    20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75
    24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75
    28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25
      </float_array>
      <technique_common>
          <accessor source="#HourHand_euler_Z-input-array" count="  126" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="HourHand_euler_Z-output">
      <float_array id="HourHand_euler_Z-output-array" count="  126">
  270.0
  268.125
  266.25
  264.375
  262.5
  260.625
  258.75
  256.875
  255.0
  253.125
  251.25
  249.375
  247.5
  245.625
  243.75
  241.875
  240.0
  238.125
  236.25
  234.375
  232.5
  230.625
  228.75
  226.875
  225.0
  223.125
  221.25
  219.375
  217.5
  215.625
  213.75
  211.875
  210.0
  208.125
  206.25
  204.375
  202.5
  200.625
  198.75
  196.875
  195.0
  193.125
  191.25
  189.375
  187.5
  185.625
  183.75
  181.875
  180.0
  178.125
  176.25
  174.375
  172.5
  170.625
  168.75
  166.875
  165.0
  163.125
  161.25
  159.375
  157.5
  155.625
  153.75
  151.875
  150.0
  148.125
  146.25
  144.375
  142.5
  140.625
  138.75
  136.875
  135.0
  133.125
  131.25
  129.375
  127.5
  125.625
  123.75
  121.875
  120.0
  118.125
  116.25
  114.375
  112.5
  110.625
  108.75
  106.875
  105.0
  103.125
  101.25
   99.375
   97.5
   95.625
   93.75
   91.875
   90.0
   88.125
   86.25
   84.375
   82.5
   80.625
   78.75
   76.875
   75.0
   73.125
   71.25
   69.375
   67.5
   65.625
   63.75
   61.875
   60.0
   58.125
   56.25
   54.375
   52.5
   50.625
   48.75
   46.875
   45.0
   43.125
   41.25
   39.375
   37.5
   35.625
      </float_array>
      <technique_common>
          <accessor source="#HourHand_euler_Z-output-array" count="   126" stride="1">
            <param name="ANGLE" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="HourHand_euler_Z-sampler">
      <input semantic="INPUT" source="#HourHand_euler_Z-input"/>
      <input semantic="OUTPUT" source="#HourHand_euler_Z-output"/>
    </sampler>
    <channel source="#HourHand_euler_Z-sampler" target="HourHand/rotationZ.ANGLE"/>
  </animation>
    </library_animations>
    <library_controllers/>
    <library_visual_scenes>
        <visual_scene id="ID1">
            <node id="EntireEllipsoid" name="OculusRift_EFE">
             <translate>0.0 0.0 0.0</translate>
             <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
             <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
             <rotate sid="rotationZ">0.0 0.0 1.0  1.0</rotate>
             <scale sid="scale">5.0 5.0 5.0</scale>
                <node id="First" name="First_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
                <node id="Second" name="Second_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  180.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0    0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0    0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
                <node id="Third" name="Third_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0    0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  180.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0    0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
                <node id="Fourth" name="Fourth_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  180.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  180.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0    0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
<!-- instance:  Cylindrical Pointer -->
                <node id="CylinderPointer" name="instance_cylinder">  
                  <translate sid="location">-1.0 0.0 0.0</translate>
                    <rotate sid="rotationX">1 0 0 0</rotate>
                    <rotate sid="rotationY">0 1 0 0</rotate>
                    <rotate sid="rotationZ">0 0 1 180</rotate>
                  <scale sid="scale">0.05 0.025 0.025</scale>
                  <instance_node url="#CylPointer" />
                </node>                                         
<!-- Begin LAGRANGE markers -->
              <node id="Lagrange01" name="instance_Lagrange01">
                  <translate sid="location">1.0000 0.0000 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.075 0.075 0.075</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            <node id="Shrink02" name="instance_Shrink02">
              <scale sid="scale">0.8 0.8 0.8</scale>
              <node id="Lagrange02" name="instance_Lagrange02">
                  <translate sid="location">1.0000 0.0000 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.0375 0.0375 0.0375</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
            <node id="Shrink03" name="instance_Shrink03">
              <scale sid="scale">0.6 0.6 0.6</scale>
              <node id="Lagrange03" name="instance_Lagrange03">
                  <translate sid="location">1.0000 0.0000 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.05 0.05 0.05</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
              <node id="Lagrange04" name="instance_Lagrange04">
                  <translate sid="location">0.9686 0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.03 0.03 0.03</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            <node id="Shrink05" name="instance_Shrink05">
              <scale sid="scale">0.8 0.8 0.8</scale>
              <node id="Lagrange05" name="instance_Lagrange05">
                  <translate sid="location">0.9686 0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.0375 0.0375 0.0375</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
            <node id="Shrink06" name="instance_Shrink06">
              <scale sid="scale">0.6 0.6 0.6</scale>
              <node id="Lagrange06" name="instance_Lagrange06">
                  <translate sid="location">0.9686 0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.05 0.05 0.05</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
              <node id="Lagrange07" name="instance_Lagrange07">
                  <translate sid="location">0.9686 -0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.03 0.03 0.03</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            <node id="Shrink08" name="instance_Shrink08">
              <scale sid="scale">0.8 0.8 0.8</scale>
              <node id="Lagrange08" name="instance_Lagrange08">
                  <translate sid="location">0.9686 -0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.0375 0.0375 0.0375</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
            <node id="Shrink09" name="instance_Shrink09">
              <scale sid="scale">0.6 0.6 0.6</scale>
              <node id="Lagrange09" name="instance_Lagrange09">
                  <translate sid="location">0.9686 -0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.05 0.05 0.05</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
              <node id="Marker01" name="instance_marker01">
                <matrix>0.025 0.0 0.0 1.0000  0.0 0.025 0.0 -0.0000  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker02" name="instance_marker02">
                <matrix>0.025 0.0 0.0 0.9921  0.0 0.025 0.0 -0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker03" name="instance_marker03">
                <matrix>0.025 0.0 0.0 0.9686  0.0 0.025 0.0 -0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker04" name="instance_marker04">
                <matrix>0.025 0.0 0.0 0.9298  0.0 0.025 0.0 -0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker05" name="instance_marker05">
                <matrix>0.025 0.0 0.0 0.8763  0.0 0.025 0.0 -0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker06" name="instance_marker06">
                <matrix>0.025 0.0 0.0 0.8090  0.0 0.025 0.0 -0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker07" name="instance_marker07">
                <matrix>0.025 0.0 0.0 0.7290  0.0 0.025 0.0 -0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker08" name="instance_marker08">
                <matrix>0.025 0.0 0.0 0.6374  0.0 0.025 0.0 -0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker09" name="instance_marker09">
                <matrix>0.025 0.0 0.0 0.5358  0.0 0.025 0.0 -0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker10" name="instance_marker10">
                <matrix>0.025 0.0 0.0 0.4258  0.0 0.025 0.0 -0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker11" name="instance_marker11">
                <matrix>0.025 0.0 0.0 0.3090  0.0 0.025 0.0 -0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker12" name="instance_marker12">
                <matrix>0.025 0.0 0.0 0.1874  0.0 0.025 0.0 -0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker13" name="instance_marker13">
                <matrix>0.025 0.0 0.0 0.0628  0.0 0.025 0.0 -0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker14" name="instance_marker14">
                <matrix>0.025 0.0 0.0 -0.0628  0.0 0.025 0.0 -0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker15" name="instance_marker15">
                <matrix>0.025 0.0 0.0 -0.1874  0.0 0.025 0.0 -0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker16" name="instance_marker16">
                <matrix>0.025 0.0 0.0 -0.3090  0.0 0.025 0.0 -0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker17" name="instance_marker17">
                <matrix>0.025 0.0 0.0 -0.4258  0.0 0.025 0.0 -0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker18" name="instance_marker18">
                <matrix>0.025 0.0 0.0 -0.5358  0.0 0.025 0.0 -0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker19" name="instance_marker19">
                <matrix>0.025 0.0 0.0 -0.6374  0.0 0.025 0.0 -0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker20" name="instance_marker20">
                <matrix>0.025 0.0 0.0 -0.7290  0.0 0.025 0.0 -0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker21" name="instance_marker21">
                <matrix>0.025 0.0 0.0 -0.8090  0.0 0.025 0.0 -0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker22" name="instance_marker22">
                <matrix>0.025 0.0 0.0 -0.8763  0.0 0.025 0.0 -0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker23" name="instance_marker23">
                <matrix>0.025 0.0 0.0 -0.9298  0.0 0.025 0.0 -0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker24" name="instance_marker24">
                <matrix>0.025 0.0 0.0 -0.9686  0.0 0.025 0.0 -0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker25" name="instance_marker25">
                <matrix>0.025 0.0 0.0 -0.9921  0.0 0.025 0.0 -0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker26" name="instance_marker26">
                <matrix>0.025 0.0 0.0 -1.0000  0.0 0.025 0.0 -0.0000  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
<!-- Second Half -->
              <node id="Marker28" name="instance_marker28">
                <matrix>0.025 0.0 0.0 -0.9921  0.0 0.025 0.0 0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker29" name="instance_marker29">
                <matrix>0.025 0.0 0.0 -0.9686  0.0 0.025 0.0 0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker30" name="instance_marker30">
                <matrix>0.025 0.0 0.0 -0.9298  0.0 0.025 0.0 0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker31" name="instance_marker31">
                <matrix>0.025 0.0 0.0 -0.8763  0.0 0.025 0.0 0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker32" name="instance_marker32">
                <matrix>0.025 0.0 0.0 -0.8090  0.0 0.025 0.0 0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker33" name="instance_marker33">
                <matrix>0.025 0.0 0.0 -0.7290  0.0 0.025 0.0 0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker34" name="instance_marker34">
                <matrix>0.025 0.0 0.0 -0.6374  0.0 0.025 0.0 0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker35" name="instance_marker35">
                <matrix>0.025 0.0 0.0 -0.5358  0.0 0.025 0.0 0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker36" name="instance_marker36">
                <matrix>0.025 0.0 0.0 -0.4258  0.0 0.025 0.0 0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker37" name="instance_marker37">
                <matrix>0.025 0.0 0.0 -0.3090  0.0 0.025 0.0 0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker38" name="instance_marker38">
                <matrix>0.025 0.0 0.0 -0.1874  0.0 0.025 0.0 0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker39" name="instance_marker39">
                <matrix>0.025 0.0 0.0 -0.0628  0.0 0.025 0.0 0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker40" name="instance_marker40">
                <matrix>0.025 0.0 0.0 0.0628  0.0 0.025 0.0 0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker41" name="instance_marker41">
                <matrix>0.025 0.0 0.0 0.1874  0.0 0.025 0.0 0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker42" name="instance_marker42">
                <matrix>0.025 0.0 0.0 0.3090  0.0 0.025 0.0 0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker43" name="instance_marker43">
                <matrix>0.025 0.0 0.0 0.4258  0.0 0.025 0.0 0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker44" name="instance_marker44">
                <matrix>0.025 0.0 0.0 0.5358  0.0 0.025 0.0 0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker45" name="instance_marker45">
                <matrix>0.025 0.0 0.0 0.6374  0.0 0.025 0.0 0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker46" name="instance_marker46">
                <matrix>0.025 0.0 0.0 0.7290  0.0 0.025 0.0 0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker47" name="instance_marker47">
                <matrix>0.025 0.0 0.0 0.8090  0.0 0.025 0.0 0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker48" name="instance_marker48">
                <matrix>0.025 0.0 0.0 0.8763  0.0 0.025 0.0 0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker49" name="instance_marker49">
                <matrix>0.025 0.0 0.0 0.9298  0.0 0.025 0.0 0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker50" name="instance_marker50">
                <matrix>0.025 0.0 0.0 0.9686  0.0 0.025 0.0 0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker51" name="instance_marker51">
                <matrix>0.025 0.0 0.0 0.9921  0.0 0.025 0.0 0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
<!-- End LAGRANGE markers -->
            </node>                           <!-- END EntireEllipsoid -->
          <node id="Inertial" name="instance_inertial">  <!-- Start Inertial Grouping of Objects -->
            <translate>0.0 0.0 0.0</translate>
            <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
            <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
            <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
            <node id="Zup_Pointer" name="instance_zupPointer">  
              <translate>0.0 0.0 5.0</translate>
                <rotate sid="rotationX">1 0 0  0.0</rotate>
                <rotate sid="rotationY">0 1 0  0.0</rotate>
                <rotate sid="rotationZ">0 0 1  0.0</rotate>
              <scale sid="scale">0.125 0.5 1.5</scale>
              <instance_node url="#ZupPointer" />
            </node>                                         
<!-- instance:  MidPlane Frame (MidPlane flips with rotationX = 180 for clockwise spin)-->
            <node id="MidPlane" name="instance_MidPlane">  
              <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
              <scale sid="scale">1.25 1.25 1.25</scale>
              <instance_node url="#EqPlane" />
            </node> 
<!-- BEGIN LABELING HERE -->
          <node name="Labels">
          <translate>7.0 -2.0 5.0</translate>
          <rotate sid="rotationX">1 0 0 0.0</rotate>
          <rotate sid="rotationY">0 1 0 0</rotate>
          <rotate sid="rotationZ">0 0 1 180</rotate>
          <scale sid="scale">0.1 0.1 0.1</scale>
<!--  Equals sign #1  -->
            <node name="Equals1">
            <translate>0.0 15.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDd51" name="instance_51">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd52" name="instance_52">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd53" name="instance_53">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd55" name="instance_55">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd56" name="instance_56">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd57" name="instance_57">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
            </node>
<!--  Equals sign #2  -->
            <node name="Equals2">
            <translate>0.0 15.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDd51" name="instance_51">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd52" name="instance_52">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd53" name="instance_53">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd55" name="instance_55">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd56" name="instance_56">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd57" name="instance_57">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
          </node>
<!--  Division sign #1  -->
            <node name="Divide1">
            <translate>0.0 4.4 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 0.75 1.0</scale>
                <node id="IDd21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd22" name="instance_22">
                    <matrix>0.25  0 0 0.0   0 -1  0 1.1  0 0 -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd23" name="instance_23">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd24" name="instance_24">
                    <matrix>0.25  0 0 0.0   0 -1  0 2.2  0 0 -1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd25" name="instance_25">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd26" name="instance_26">
                    <matrix>0.25  0 0 0.0   0 -1  0 3.3  0 0 -1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd27" name="instance_27">
                    <matrix>0.25  0 0 0.0   0 1  0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
            </node>
<!--  Division sign #2  -->
            <node name="Divide2">
            <translate>0.0 4.4 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 0.75 1.0</scale>
                <node id="IDd21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd22" name="instance_22">
                    <matrix>0.25  0 0 0.0   0 -1  0 1.1  0 0 -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd23" name="instance_23">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd24" name="instance_24">
                    <matrix>0.25  0 0 0.0   0 -1  0 2.2  0 0 -1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd25" name="instance_25">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd26" name="instance_26">
                    <matrix>0.25  0 0 0.0   0 -1  0 3.3  0 0 -1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd27" name="instance_27">
                    <matrix>0.25  0 0 0.0   0 1  0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
            </node>
<!--  Letter "a" #1  -->
            <node name="Letter_a1">
            <translate>0.0 8.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDa01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa18" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 1 4.4  0 -1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 -1 3.3  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa31" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "a" #2  -->
            <node name="Letter_a2">
            <translate>0.0 8.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDa01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa18" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 1 4.4  0 -1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 -1 3.3  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa31" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "a" #2  -->
            <node name="Letter_a2">
            <translate>0.0 8.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDa01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa18" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 1 4.4  0 -1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 -1 3.3  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa31" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "c"  -->
            <node name="Letter_c">
            <translate>0.0 0.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="ID001" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID002" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID006" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID007" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID010" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID011" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID018" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="ID019" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="ID020" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="ID021" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "b"  ... has 8 + (4 x 15) = 68 lines -->
            <node name="Letter_b">
            <translate>0.0 0.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDb01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb02" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb03" name="instance_3">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb04" name="instance_4">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb05" name="instance_5">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb12" name="instance_12">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb08" name="instance_8">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb09" name="instance_9">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!-- DECIMAL POINTS -->
                <node id="IDD01" name="Decimal_1">
                    <matrix>0.25 0 0 0.0  0 1 0 25.0  0 0 1 1.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDD02" name="Decimal_2">
                    <matrix>0.25 0 0 0.0  0 1 0 25.0  0 0 1 -8.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
<!--  Number "0" #1  ... has 8 + (4 x 18) = 80 lines -->
            <node name="Number_0">
            <translate>0.0 20.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDb01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb02" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb03" name="instance_3">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb04" name="instance_4">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb05" name="instance_5">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz19" name="instance_z19">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb08" name="instance_8">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb09" name="instance_9">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDz11" name="instance_z11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz12" name="instance_z12">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz13" name="instance_z13">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
            </node>
<!--  Number "0" #2  ... has 8 + (4 x 18) = 80 lines -->
            <node name="Number_0b">
            <translate>0.0 20.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDb01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb02" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb03" name="instance_3">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb04" name="instance_4">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb05" name="instance_5">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz19" name="instance_z19">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb08" name="instance_8">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb09" name="instance_9">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDz11" name="instance_z11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz12" name="instance_z12">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz13" name="instance_z13">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
            </node>
<!--  Number "1" ... has 8 + (4 x 8) = 40 lines -->
<!--  Number "2" #1 ... has 8 + (4 x 17) = 76 lines -->
<!--  Number "2" #2 ... has 8 + (4 x 17) = 76 lines -->
<!--  Number "3"  ... has 8 + (4 x 18) = 80 lines -->
<!--  Number "4" ... has 8 + (4 x 13) = 60 lines -->
<!--  Number "5"  ... has 8 + (4 x 17) = 76 lines -->
<!--  Number "6" ... has 8 + (4 x 18) = 80 lines -->
<!--  Number "7" ... has 8 + (4 x 14) = 64 lines -->
<!--  Number "8" ... has 8 + (4 x 22) = 96 lines -->
<!--  Number "9"  ... has 8 + (4 x 15) = 68 lines -->
<!-- bovera_Digit1 is "4" -->
            <node name="bovera_Digit1">
            <translate>0.0 26.8 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
<!--  Number "4" ... has 8 + (4 x 13) = 60 lines -->
                <node id="IDd21" name="instance_21">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd22" name="instance_22">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 0.825  0 0 -1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd23" name="instance_23">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 0.825  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd24" name="instance_24">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 1.650  0 0 -1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd25" name="instance_25">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 1.650  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd26" name="instance_26">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 2.475  0 0 -1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd25" name="instance_25">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 2.475  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd26" name="instance_26">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 3.3  0 0 -1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
<!--  Number "4" ... has 8 + (4 x 13) = 60 lines -->^M
            <node name="bovera_Digit2">^M
            <translate>0.0 31.8 1.0</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDe01" name="instance_e01">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe02" name="instance_e02">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe02" name="instance_e02">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb04" name="instance_4">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb08" name="instance_8">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDn09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDf12" name="instance_n12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDn12" name="instance_n12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz12" name="instance_z12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
<!--  Number "6" ... has 8 + (4 x 18) = 80 lines -->^M
            <node name="covera_Digit1">^M
            <translate>0.0 26.8 -8.5</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDb01" name="instance_1">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb02" name="instance_2">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb03" name="instance_3">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb04" name="instance_4">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDs06" name="instance_s6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDs07" name="instance_s7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb08" name="instance_8">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb10" name="instance_10">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb11" name="instance_11">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb19" name="instance_19">^M
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDs20" name="instance_s20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb21" name="instance_21">^M
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
            </node>^M
<!--  Number "9"  ... has 8 + (4 x 15) = 68 lines -->^M
            <node name="covera_Digit2">^M
            <translate>0.0 31.8 -8.5</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDe01" name="instance_e01">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe02" name="instance_e02">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe21" name="instance_e21">^M
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb04" name="instance_4">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb08" name="instance_8">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDn09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDn12" name="instance_n12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz12" name="instance_z12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
<!--  Number "2" #1 ... has 8 + (4 x 17) = 76 lines -->^M
            <node name="covera_Digit3">^M
            <translate>0.0 37.1 -8.5</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDd21" name="instance_21">^M
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd22" name="instance_22">^M
                    <matrix>0.25  0 0 0.0   0 -1  0 1.1  0 0 -1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd23" name="instance_23">^M
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd24" name="instance_24">^M
                    <matrix>0.25  0 0 0.0   0 -1  0 2.2  0 0 -1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd25" name="instance_25">^M
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd26" name="instance_26">^M
                    <matrix>0.25  0 0 0.0   0 -1  0 3.3  0 0 -1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDb01" name="instance_1">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDt05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDt06" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb10" name="instance_10">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb11" name="instance_11">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
          </node>
<!-- END LABELING HERE -->
<!-- BEGIN CLOCK -->
          <node id="EntireClock" name="instance_Clock">
            <translate>7.0 0.0 5.0</translate>
            <rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
            <rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
            <rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
            <scale sid="scale">1.00 1.00 1.00</scale>
            <node id="firstclock" name="instance_1">        <!-- TWO -->
              <translate>0.0 0.0 0.0</translate>
              <rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
              <rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
              <rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
              <scale sid="scale">1.00 1.00 1.00</scale>
              <instance_node url="#ID3" />
            </node>                                         <!-- /TWO -->
            <node id="Jetman" name="instance_Arrow">        <!-- TWO -->
              <matrix sid="transformation"> 0.000  0.000 -1.00  0.00  -1.0000  0.0000  0.000  0.000   0.0000  1.0000  0.000  0.00   0.000  0.000  0.000  1.000</matrix>
              <instance_node url="#ArrowID3" />
            </node>                                         <!-- /TWO -->
            <node id="HourHand" name="instance_Hour">       <!-- TWO -->
              <translate>0.0 0.0 0.0</translate>
              <rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
              <rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
              <rotate sid="rotationZ">0.0 0.0 1 270.0</rotate>
              <scale sid="scale">0.75 0.75 0.75</scale>
              <instance_node url="#HourID3" />
            </node>                                         <!-- /TWO -->
          </node>
<!-- END CLOCK   -->
          </node> <!-- End Inertial Grouping of Objects -->
        </visual_scene>
    </library_visual_scenes>
    <scene>
        <instance_visual_scene url="#ID1" />
    </scene>
</COLLADA>


b74c692DRot.dae [Direct Rotating Frame]    …     a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
Original filename used above: TestMulti74.dae

<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
<COLLADA xmlns="http://www.collada.org/2005/11/COLLADASchema" version="1.4.1">
    <asset>
        <contributor>
            <author>jet53man</author>
            <authoring_tool>Raw XML</authoring_tool>
        </contributor>
        <created>2020-04-28</created>
        <modified>2020-05-10</modified>
        <unit meter="0.0254" name="inch" />
        <up_axis>Z_UP</up_axis>
<!-- 
This file originally was named FullLast45X.dae ...
here its assigned name is RiemannBuild05.dae (etc.)
we are inserting various objects, drawn from b41c385_DI.dae

                 <node>        <geometry>       <material>      <effect>
*** firstclock:    ID3     Clock_OuterEdge         ID6            ID5
***           :            Clock_InnerEdge       InnerID6       InnerID5
***   Jetman  :  ArrowID3  Clock_ArrowEdge       ArrowID6       ArrowID5
***  HourHand :  HourID3   Clock_HourEdge        HourID6        HourID5
-->
    </asset>
    <library_effects>
        <effect id="DiffusePurple_00">
            <profile_COMMON>
                <technique sid="COMMON">
                    <phong>
                        <diffuse>
                            <color>0.5 0.0 0.99  1.0</color>
                        </diffuse>
                        <transparency>
               <float sid="transparency">0.8</float>
                        </transparency>
                    </phong>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="DiffuseRed_EFE">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>1.0 0.0 0.0  1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
<!-- effect:  MidPlane Frame -->
        <effect id="MidPlaneID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.0 0.0 0.6 0.5</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
<!-- effect:  Cylindrical Pointer -->
        <effect id="CylID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.0 0.0 0.0 1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="MarkersID5">
          <profile_COMMON>
            <technique sid="COMMON">
              <lambert>
                <diffuse>
                  <color>1 1 0 1</color>
                </diffuse>
              </lambert>
            </technique>
          </profile_COMMON>
        </effect>
<!-- effect:  Letters -->
        <effect id="LettersID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 0 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="DiagonalID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 1 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="Black_DiagonalID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 0 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
<!-- effect:  Four Clock Components -->
        <effect id="ID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0 0 1 1</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="InnerID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.4 0.0 0.7 0.4</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="ArrowID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>1.0 0.0 0.0 1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
        <effect id="HourID5">
            <profile_COMMON>
                <technique sid="COMMON">
                    <lambert>
                        <diffuse>
                            <color>0.0 0.0 0.0 1.0</color>
                        </diffuse>
                    </lambert>
                </technique>
            </profile_COMMON>
        </effect>
    </library_effects>
    <library_materials>
<!-- material:  Four Clock Components -->
        <material id="ID6" name="material">
            <instance_effect url="#ID5" />
        </material>
        <material id="InnerID6" name="Inner_material">
            <instance_effect url="#InnerID5" />
        </material>
        <material id="ArrowID6" name="Arrow_material">
            <instance_effect url="#ArrowID5" />
        </material>
        <material id="HourID6" name="Hour_material">
            <instance_effect url="#HourID5" />
        </material>
        <material id="ID6_EFE" name="material">
            <instance_effect url="#DiffusePurple_00" />
        </material>
<!-- material:  MidPlane Frame -->
        <material id="MidPlaneID6" name="MidPlane_material">
            <instance_effect url="#MidPlaneID5" />
        </material>
<!-- material:  Cylindrical Pointer -->
        <material id="CylID6" name="Cyl_material">
            <instance_effect url="#CylID5" />
        </material>
        <material id="ZupID6" name="Zup_material">
            <instance_effect url="#MidPlaneID5" />
        </material>
        <material id="MarkersID6" name="markers_material">
            <instance_effect url="#MarkersID5" />
        </material>
        <material id="Primary_MarkerID6" name="primary_marker_material">
            <instance_effect url="#DiffuseRed_EFE" />
        </material>
<!-- material:  Letters -->
        <material id="LettersID6" name="material">
            <instance_effect url="#LettersID5" />
        </material>
        <material id="DiagonalID6" name="material">
            <instance_effect url="#DiagonalID5" />
        </material>
        <material id="Black_DiagonalID6" name="material">
            <instance_effect url="#Black_DiagonalID5" />
        </material>
    </library_materials>
    <library_nodes>
<!-- node:  Three clock components -->
        <node id="ID3" name="cube_component">
            <instance_geometry url="#Clock_OuterEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
            <instance_geometry url="#Clock_InnerEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#InnerID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="ArrowID3" name="cube_component">
            <instance_geometry url="#Clock_ArrowEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ArrowID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="HourID3" name="hour_hand">
            <instance_geometry url="#Clock_HourEdge">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#HourID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="ID3_EFE" name="cube_componentEFE">
            <instance_geometry url="#EllipsoidOctant">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ID6_EFE">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
            <instance_geometry url="#ReflectOctant">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ID6_EFE">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
<!-- node:  MidPlane Frame -->
        <node id="EqPlane" name="equatorial_plane">
            <instance_geometry url="#EquatorialPlane">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#MidPlaneID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
<!-- node:  Cylindrical Pointer -->
        <node id="CylPointer" name="cylindrical_component">
            <instance_geometry url="#Cylinder">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#CylID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="ZupPointer" name="Zup_component">
            <instance_geometry url="#CubeID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#ZupID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="MarkersID3" name="Lagrange_markers">
          <instance_geometry url="#CubeID4">
            <bind_material>
              <technique_common>
                <instance_material symbol="Material2" target="#MarkersID6">
                  <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                </instance_material>
              </technique_common>
            </bind_material>
          </instance_geometry>
        </node>
        <node id="Primary_MarkerID3" name="Primary_marker">
          <instance_geometry url="#CubeID4">
            <bind_material>
              <technique_common>
                <instance_material symbol="Material2" target="#Primary_MarkerID6">
                  <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                </instance_material>
              </technique_common>
            </bind_material>
          </instance_geometry>
        </node>
<!-- node:  Letters -->
        <node id="LettersID3" name="cube_component">
            <instance_geometry url="#CubeID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#LettersID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="DiagonalID3" name="diagonal_component">
            <instance_geometry url="#DiagonalID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#DiagonalID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
        <node id="Black_DiagonalID3" name="Blackdiagonal_component">
            <instance_geometry url="#DiagonalID4">
                <bind_material>
                    <technique_common>
                        <instance_material symbol="Material2" target="#Black_DiagonalID6">
                            <bind_vertex_input semantic="UVSET0" input_semantic="TEXCOORD" input_set="0" />
                        </instance_material>
                    </technique_common>
                </bind_material>
            </instance_geometry>
        </node>
    </library_nodes>
    <library_geometries>
<!-- geometry:  Four Clock Components -->
        <geometry id="Clock_OuterEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert first portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_Positions">
                  <float_array id="Coordinates01" count="123"> 0.0  1.0  0.2 1.0  1.0  0.2 1.0  0.0  0.2 1.0 -1.0  0.2 0.0 -1.0  0.2 -1.0 -1.0  0.2 -1.0  0.0  0.2 -1.0  1.0  0.2 0.0  1.0 -0.2 1.0  1.0 -0.2 1.0  0.0 -0.2 1.0 -1.0 -0.2 0.0 -1.0 -0.2 -1.0 -1.0 -0.2 -1.0  0.0 -0.2 -1.0  1.0 -0.2 0.9  0.0  0.2 0.779423 0.45 0.2 0.45 0.779423 0.2 0.0  0.9  0.2 -0.45 0.779423 0.2 -0.779423 0.45 0.2 -0.9 0.0 0.2 -0.779423 -0.45 0.2 -0.45 -0.779423 0.2 0.0 -0.9 0.2 0.45 -0.779423 0.2 0.779423 -0.45 0.2 -0.9  0.0  -0.2 -0.779423 0.45 -0.2 -0.45 0.779423 -0.2 -0.0  0.9  -0.2 0.45 0.779423 -0.2 0.779423 0.45 -0.2 0.9 0.0 -0.2 0.779423 -0.45 -0.2 0.45 -0.779423 -0.2 -0.0 -0.9 -0.2 -0.45 -0.779423 -0.2 -0.779423 -0.45 -0.2  0.0 0.0 -0.2</float_array>
                  <technique_common>
                    <accessor source="#Coordinates01" count="41" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_Normals">
                  <float_array id="InnerNormals01" count="18">
 1.0  0.0  0.0
-1.0  0.0  0.0
 0.0  1.0  0.0
 0.0 -1.0  0.0
 0.0  0.0  1.0
 0.0  0.0 -1.0
                  </float_array>
                    <technique_common>
                        <accessor source="#InnerNormals01" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_Vertices">
                    <input semantic="POSITION" source="#Clock_Positions" />
                </vertices>
                <polylist count="56" material="Material2">
                    <input semantic="VERTEX" source="#Clock_Vertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_Normals" offset="1" />
<vcount> 3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3</vcount>
<p> 0 2 1 2 8 2  1 2 9 2 8 2  7 2 0 2 15 2  0 2 8 2 15 2 1 0 2 0 9 0  2 0 10 0 9 0  2 0 3 0 10 0  3 0 11 0 10 0 3 3 4 3 11 3  4 3 12 3 11 3  4 3 5 3 12 3  5 3 13 3 12 3 5 1 6 1 13 1  6 1 14 1 13 1  6 1 7 1 14 1  7 1 15 1 14 1 2 4 17 4 16 4  2 4 1 4 17 4  1 4 18 4 17 4  1 4 0 4 18 4  0 4 19 4 18 4 0 4 20 4 19 4  0 4 7 4 20 4  7 4 21 4 20 4  7 4 6 4 21 4  6 4 22 4 21 4 6 4 23 4 22 4  6 4 5 4 23 4  5 4 24 4 23 4  5 4 4 4 24 4  4 4 25 4 24 4 4 4 26 4 25 4  4 4 3 4 26 4  3 4 27 4 26 4  3 4 2 4 27 4  2 4 16 4 27 4 14 5 29 5 28 5  14 5 15 5 29 5  15 5 30 5 29 5  15 5 8 5 30 5  8 5 31 5 30 5 8 5 32 5 31 5  8 5 9 5 32 5  9 5 33 5 32 5  9 5 10 5 33 5  10 5 34 5 33 5 10 5 35 5 34 5  10 5 11 5 35 5  11 5 36 5 35 5  11 5 12 5 36 5  12 5 37 5 36 5 12 5 38 5 37 5  12 5 13 5 38 5  13 5 39 5 38 5  13 5 14 5 39 5  14 5 28 5 39 5 </p>
                </polylist>
            </mesh>
        </geometry>
        <geometry id="Clock_InnerEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert second portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_InnerPositions">
                  <float_array id="InnerCoordinates01" count="123">
0.0  1.0  0.2 1.0  1.0  0.2 1.0  0.0  0.2 1.0 -1.0  0.2 0.0 -1.0  0.2 -1.0 -1.0  0.2 -1.0  0.0  0.2 -1.0  1.0  0.2 0.0  1.0 -0.2 1.0  1.0 -0.2 1.0  0.0 -0.2 1.0 -1.0 -0.2 0.0 -1.0 -0.2 -1.0 -1.0 -0.2 -1.0  0.0 -0.2 -1.0  1.0 -0.2 0.9  0.0  0.2 0.779423 0.45 0.2 0.45 0.779423 0.2 0.0  0.9  0.2 -0.45 0.779423 0.2 -0.779423 0.45 0.2 -0.9 0.0 0.2 -0.779423 -0.45 0.2 -0.45 -0.779423 0.2 0.0 -0.9 0.2 0.45 -0.779423 0.2 0.779423 -0.45 0.2 -0.9  0.0  -0.2 -0.779423 0.45 -0.2 -0.45 0.779423 -0.2 -0.0  0.9  -0.2 0.45 0.779423 -0.2 0.779423 0.45 -0.2 0.9 0.0 -0.2 0.779423 -0.45 -0.2 0.45 -0.779423 -0.2 -0.0 -0.9 -0.2 -0.45 -0.779423 -0.2 -0.779423 -0.45 -0.2  0.0 0.0 -0.2</float_array>
                  <technique_common>
                    <accessor source="#InnerCoordinates01" count="41" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_InnerNormals">
                  <float_array id="InnerNormals01" count="54">
 1.0  0.0  0.0
-1.0  0.0  0.0
 0.0  1.0  0.0
 0.0 -1.0  0.0
 0.0  0.0  1.0
 0.0  0.0 -1.0
 -0.965926 -0.258819 0.0
 -0.707107 -0.707107 0.0
 -0.258819 -0.965926 0.0
  0.258819 -0.965926 0.0
  0.707107 -0.707107 0.0
  0.965926 -0.258819 0.0
  0.965926  0.258819 0.0
  0.707107  0.707107 0.0
  0.258819  0.965926 0.0
 -0.258819  0.965926 0.0
 -0.707107  0.707107 0.0
 -0.965926  0.258819 0.0
                  </float_array>
                    <technique_common>
                        <accessor source="#InnerNormals01" count="18" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_InnerVertices">
                    <input semantic="POSITION" source="#Clock_InnerPositions" />
                </vertices>
                <polylist count="24" material="Material2">
                    <input semantic="VERTEX" source="#Clock_InnerVertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_InnerNormals" offset="1"/>
<vcount>4 4 4 4  4 4 4 4  4 4 4 4  3 3 3 3  3 3 3 3  3 3 3 3</vcount>
<p> 16 6 17 6 33 6 34 6 17 7 18 7 32 7 33 7 18 8 19 8 31 8 32 8 19 9 20 9 30 9 31 9 20 10 21 10 29 10 30 10 21 11 22 11 28 11 29 11 22 12 23 12 39 12 28 12 23 13 24 13 38 13 39 13 24 14 25 14 37 14 38 14 25 15 26 15 36 15 37 15 26 16 27 16 35 16 36 16 27 17 16 17 34 17 35 17 28 5 29 5 40 5 29 5 30 5 40 5 30 5 31 5 40 5 31 5 32 5 40 5 32 5 33 5 40 5 33 5 34 5 40 5 34 5 35 5 40 5 35 5 36 5 40 5 36 5 37 5 40 5 37 5 38 5 40 5 38 5 39 5 40 5 39 5 28 5 40 5 </p>
              </polylist>
            </mesh>
        </geometry>
        <geometry id="Clock_ArrowEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert arrow portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_ArrowPositions">
                  <float_array id="ArrowCoordinates01" count="30"> 0.0  0.85 0.25 0.1  0.0 0.25 0.0 -0.2 0.25 -0.1  0.0 0.25 0.0  0.85 0.05 0.1  0.0 0.05 0.0 -0.2 0.05 -0.1  0.0 0.05 0.0  0.0 0.25 0.0  0.0 0.05 </float_array>
                  <technique_common>
                    <accessor source="#ArrowCoordinates01" count="10" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_ArrowNormals">
                  <float_array id="ArrowNormals01" count="18">
 0  0  1
 0  0 -1
 0.993151  0.116841 0.0
 0.447214 -0.894427 0.0
-0.447214 -0.894427 0.0
-0.993151  0.116841 0.0
                  </float_array>
                    <technique_common>
                        <accessor source="#ArrowNormals01" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_ArrowVertices">
                    <input semantic="POSITION" source="#Clock_ArrowPositions" />
                </vertices>
                <polylist count="12" material="Material2">
                    <input semantic="VERTEX" source="#Clock_ArrowVertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_ArrowNormals" offset="1"/>
<vcount>3 3 3 3 3 3 3 3 4 4 4 4</vcount>
<p> 0 0 8 0 1 0 1 0 8 0 2 0 2 0 8 0 3 0 3 0 8 0 0 0 4 1 5 1 9 1 5 1 6 1 9 1 6 1 7 1 9 1 7 1 4 1 9 1 0 2 1 2 5 2 4 2 1 3 2 3 6 3 5 3 2 4 3 4 7 4 6 4 3 5 0 5 4 5 7 5 </p>
              </polylist>
            </mesh>
        </geometry>
        <geometry id="Clock_HourEdge">
            <mesh>
<!--
            **********************************************
            *
            *  Insert hour_hand portion of clock's structure
            *
            **********************************************
-->
                <source id="Clock_HourPositions">
                  <float_array id="HourCoordinates01" count="30"> 0.0  0.85 0.25 0.1  0.0 0.25 0.0 -0.2 0.25 -0.1  0.0 0.25 0.0  0.85 0.05 0.1  0.0 0.05 0.0 -0.2 0.05 -0.1  0.0 0.05 0.0  0.0 0.25 0.0  0.0 0.05 </float_array>
                  <technique_common>
                    <accessor source="#HourCoordinates01" count="10" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                    </accessor>
                  </technique_common>
                </source>
                <source id="Clock_HourNormals">
                  <float_array id="HourNormals01" count="18">
 0  0  1
 0  0 -1
 0.993151  0.116841 0.0
 0.447214 -0.894427 0.0
-0.447214 -0.894427 0.0
-0.993151  0.116841 0.0
                  </float_array>
                    <technique_common>
                        <accessor source="#HourNormals01" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="Clock_HourVertices">
                    <input semantic="POSITION" source="#Clock_HourPositions" />
                </vertices>
                <polylist count="12" material="Material2">
                    <input semantic="VERTEX" source="#Clock_HourVertices" offset="0" />
                    <input semantic="NORMAL" source="#Clock_HourNormals" offset="1"/>
<vcount>3 3 3 3 3 3 3 3 4 4 4 4</vcount>
<p> 0 0 8 0 1 0 1 0 8 0 2 0 2 0 8 0 3 0 3 0 8 0 0 0 4 1 5 1 9 1 5 1 6 1 9 1 6 1 7 1 9 1 7 1 4 1 9 1 0 2 1 2 5 2 4 2 1 3 2 3 6 3 5 3 2 4 3 4 7 4 6 4 3 5 0 5 4 5 7 5 </p>
              </polylist>
            </mesh>
        </geometry>
<!-- geometry:  Letters -->
        <geometry id="CubeID4">
            <mesh>
                <source id="CubeID7_Positions">
                    <float_array id="CoordinatesID10" count="24">
   -0.5  -0.5  -0.5
   -0.5  -0.5   0.5
   -0.5   0.5  -0.5
   -0.5   0.5   0.5
    0.5  -0.5  -0.5
    0.5  -0.5   0.5
    0.5   0.5  -0.5
    0.5   0.5   0.5
                    </float_array>
                    <technique_common>
                        <accessor source="#CoordinatesID10" count="8" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <source id="CubeID8_Normals">
                    <float_array id="NormalsID11" count="18">
    0  0 -1
    0  0  1
    0 -1  0
    0  1  0
   -1  0  0
    1  0  0
                    </float_array>
                    <technique_common>
                        <accessor source="#NormalsID11" count="6" stride="3">
                            <param name="X" type="float" />
                            <param name="Y" type="float" />
                            <param name="Z" type="float" />
                        </accessor>
                    </technique_common>
                </source>
                <vertices id="CubeID9_Vertices">
                    <input semantic="POSITION" source="#CubeID7_Positions" />
                </vertices>
                <polylist count="12" material="Material2">
                    <input semantic="VERTEX" source="#CubeID9_Vertices" offset="0" />
                    <input semantic="NORMAL" source="#CubeID8_Normals" offset="1" />
<vcount>3 3 3 3  3 3 3 3  3 3 3 3</vcount>
<p>
0 0 2 0 6 0  0 0 6 0 4 0
1 1 7 1 3 1  1 1 5 1 7 1
0 2 4 2 5 2  0 2 5 2 1 2
2 3 3 3 7 3  2 3 7 3 6 3
0 4 1 4 3 4  0 4 3 4 2 4
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<!--
            **********************************************
            *
            *  Insert Geometry of Ellipsoid Octant
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-->
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<technique_common>
  <accessor source="#Ellipsoid_Coordinates" count="  521" stride="3">
        <param name="X" type="float" />
        <param name="Y" type="float" />
        <param name="Z" type="float" />
  </accessor>
</technique_common>
</source>
<source id="Ellipsoid_Normals">
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3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
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3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3  3 3 3 3 3
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</float_array>
<technique_common>
  <accessor source="#Reflect_Coordinates" count="  521" stride="3">
        <param name="X" type="float" />
        <param name="Y" type="float" />
        <param name="Z" type="float" />
  </accessor>
</technique_common>
</source>
<source id="Reflect_Normals">
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</p>
</polylist>
  </mesh>
</geometry>
<!-- EquatorialPlane (begin) -->
<geometry id="EquatorialPlane">
  <mesh>
<source id="EquatorialPlane_Positions">
<float_array id="EquatorialPlane_Coordinates" count="48">
   -5.5000    -5.5000    0.2000
    5.5000    -5.5000    0.2000
    5.5000     5.5000    0.2000
   -5.5000     5.5000    0.2000
   -5.7500    -5.7500    0.2000
    5.7500    -5.7500    0.2000
    5.7500     5.7500    0.2000
   -5.7500     5.7500    0.2000
   -5.5000    -5.5000   -0.2000
    5.5000    -5.5000   -0.2000
    5.5000     5.5000   -0.2000
   -5.5000     5.5000   -0.2000
   -5.7500    -5.7500   -0.2000
    5.7500    -5.7500   -0.2000
    5.7500     5.7500   -0.2000
   -5.7500     5.7500   -0.2000
</float_array>
<technique_common>
  <accessor source="#EquatorialPlane_Coordinates" count="  16" stride="3">
        <param name="X" type="float" />
        <param name="Y" type="float" />
        <param name="Z" type="float" />
  </accessor>
</technique_common>
</source>
<source id="EquatorialPlane_Normals">
<float_array id="EquatorialPlane_Normals01" count="18">
    0.0000    0.0000     1.0000
    0.0000    0.0000    -1.0000
    0.0000   -1.0000     0.0000
    0.0000    1.0000     0.0000
   -1.0000    0.0000     0.0000
    1.0000    0.0000     0.0000
</float_array>
<technique_common>
  <accessor source="#EquatorialPlane_Normals01" count="6" stride="3">
        <param name="X" type="float" />
        <param name="Y" type="float" />
        <param name="Z" type="float" />
  </accessor>
</technique_common>
</source>
<vertices id="EquatorialPlane_Vertices">
  <input semantic="POSITION" source="#EquatorialPlane_Positions" />
</vertices>
<polylist count="  12" material="Material2">
  <input semantic="VERTEX" source="#EquatorialPlane_Vertices" offset="0" />
  <input semantic="NORMAL" source="#EquatorialPlane_Normals" offset="1" />
<vcount>
4 4 4 4
4 4 4 4
4 4 4 4
</vcount>
<p>
 4 0  5 0  1 0  0 0
 5 0  6 0  2 0  1 0
 6 0  7 0  3 0  2 0
 7 0  4 0  0 0  3 0
 8 1   9 1  13 1  12 1
 9 1  10 1  14 1  13 1
10 1  11 1  15 1  14 1
11 1   8 1  12 1  15 1
12 2  13 2   5 2   4 2
14 3  15 3   7 3   6 3
15 4  12 4   4 4   7 4
13 5  14 5   6 5   5 5
</p>
</polylist>
  </mesh>
</geometry>
<!-- EquatorialPlane (end)   -->
    </library_geometries>
    <library_animations>
  <animation id="First_rotation_euler_Z">
<!-- for EFE/Ou model b74c692, clockstop = 31.311 and anglestop = 1800.0 -->
<!-- this means that one 360 degree turn of the ellipsoid takes 6.2623 clock units -->
<!-- For b74c692, change delta_T to 1.043710 (this is time it takes to spin 60 degrees) -->
    <source id="First_rotation_euler_Z-input">
      <float_array id="First_rotation_euler_Z-input-array" count="31">
   0.000
   1.044
   2.087
   3.131
   4.175
   5.219
   6.262
   7.306
   8.350
   9.393
  10.437
  11.481
  12.525
  13.568
  14.612
  15.656
  16.699
  17.743
  18.787
  19.830
  20.874
  21.918
  22.962
  24.005
  25.049
  26.093
  27.136
  28.180
  29.224
  30.268
  31.311
      </float_array>
      <technique_common>
          <accessor source="#First_rotation_euler_Z-input-array" count="31" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
<!-- This sets the spin rate of the "Entire" ellipsoid -->
    <source id="First_rotation_euler_Z-output">
      <float_array id="First_rotation_euler_Z-output-array" count="31">
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
     0.0
      </float_array>
      <technique_common>
          <accessor source="#First_rotation_euler_Z-output-array" count="31" stride="1">
            <param name="ANGLE" type="float"/>
          </accessor>
      </technique_common>
    </source>
<!-- This sets the spin rate of the "MidPlane" Frame of reference -->
    <source id="Frame_rotation_euler_Z-output">
      <float_array id="Frame_rotation_euler_Z-output-array" count="31">
  1801.0
  1741.0
  1681.0
  1621.0
  1561.0
  1501.0
  1441.0
  1381.0
  1321.0
  1261.0
  1201.0
  1141.0
  1081.0
  1021.0
   961.0
   901.0
   841.0
   781.0
   721.0
   661.0
   601.0
   541.0
   481.0
   421.0
   361.0
   301.0
   241.0
   181.0
   121.0
    61.0
     1.0
      </float_array>
      <technique_common>
          <accessor source="#Frame_rotation_euler_Z-output-array" count="31" stride="1">
            <param name="ANGLE" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="First_rotation_euler_Z-sampler">
      <input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
      <input semantic="OUTPUT" source="#First_rotation_euler_Z-output"/>
    </sampler>
    <sampler id="Frame_rotation_euler_Z-sampler">
      <input semantic="INPUT" source="#First_rotation_euler_Z-input"/>
      <input semantic="OUTPUT" source="#Frame_rotation_euler_Z-output"/>
    </sampler>
    <channel source="#First_rotation_euler_Z-sampler" target="EntireEllipsoid/rotationZ.ANGLE"/>
    <channel source="#Frame_rotation_euler_Z-sampler" target="Inertial/rotationZ.ANGLE"/>
  </animation>
<!-- FLUID ELEMENT 1 -->
  <animation id="FluidElement1_location">
    <source id="Lagrange1_location_X-input">
      <float_array id="Lagrange1_location_X-input-array" count="   86">
  0.0000
  0.3674
  0.7347
  1.1021
  1.4694
  1.8368
  2.2041
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  3.6736
  4.0409
  4.4083
  4.7756
  5.1430
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  5.8777
  6.2450
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  8.0818
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  8.8165
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  9.9186
 10.2860
 10.6533
 11.0207
 11.3880
 11.7554
 12.1227
 12.4901
 12.8574
 13.2248
 13.5922
 13.9595
 14.3269
 14.6942
 15.0616
 15.4289
 15.7963
 16.1636
 16.5310
 16.8984
 17.2657
 17.6331
 18.0004
 18.3678
 18.7351
 19.1025
 19.4698
 19.8372
 20.2045
 20.5719
 20.9392
 21.3066
 21.6739
 22.0413
 22.4087
 22.7760
 23.1434
 23.5107
 23.8781
 24.2454
 24.6128
 24.9801
 25.3475
 25.7148
 26.0822
 26.4496
 26.8169
 27.1843
 27.5516 
 27.9190
 28.2863
 28.6537
 29.0210
 29.3884
 29.7558
 30.1231
 30.4905
 30.8578
 31.2252
      </float_array>
      <technique_common>
          <accessor source="#Lagrange1_location_X-input-array" count="   86" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="Lagrange1_location_X-output">
      <float_array id="Lagrange1_location_X-output-array" count="   86">
  1.0000
  0.9921
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      <input semantic="OUTPUT" source="#Lagrange1_location_X-output"/>
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    <sampler id="Lagrange1_location_Y-sampler">
      <input semantic="INPUT" source="#Lagrange1_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange1_location_Y-output"/>
    </sampler>
    <channel source="#Lagrange1_location_X-sampler" target="Lagrange01/location.X"/>
    <channel source="#Lagrange1_location_Y-sampler" target="Lagrange01/location.Y"/>
    <channel source="#Lagrange1_location_X-sampler" target="Lagrange02/location.X"/>
    <channel source="#Lagrange1_location_Y-sampler" target="Lagrange02/location.Y"/>
    <channel source="#Lagrange1_location_X-sampler" target="Lagrange03/location.X"/>
    <channel source="#Lagrange1_location_Y-sampler" target="Lagrange03/location.Y"/>
</animation>
<!-- FLUID ELEMENT 4 -->
  <animation id="FluidElement4_location">
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      <technique_common>
          <accessor source="#Lagrange4_location_X-input-array" count="   86" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="Lagrange4_location_X-output">
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            <param name="X" type="float"/>
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    </source>
    <sampler id="Lagrange4_location_X-sampler">
      <input semantic="INPUT" source="#Lagrange4_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange4_location_X-output"/>
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    </source>
    <sampler id="Lagrange4_location_Y-sampler">
      <input semantic="INPUT" source="#Lagrange4_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange4_location_Y-output"/>
    </sampler>
    <channel source="#Lagrange4_location_X-sampler" target="Lagrange04/location.X"/>
    <channel source="#Lagrange4_location_Y-sampler" target="Lagrange04/location.Y"/>
    <channel source="#Lagrange4_location_X-sampler" target="Lagrange05/location.X"/>
    <channel source="#Lagrange4_location_Y-sampler" target="Lagrange05/location.Y"/>
    <channel source="#Lagrange4_location_X-sampler" target="Lagrange06/location.X"/>
    <channel source="#Lagrange4_location_Y-sampler" target="Lagrange06/location.Y"/>
</animation>
<!-- FLUID ELEMENT 7 -->
  <animation id="FluidElement7_location">
    <source id="Lagrange7_location_X-input">
      <float_array id="Lagrange7_location_X-input-array" count="   86">
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      </float_array>
      <technique_common>
          <accessor source="#Lagrange7_location_X-input-array" count="   86" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="Lagrange7_location_X-output">
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          </accessor>
      </technique_common>
    </source>
    <sampler id="Lagrange7_location_X-sampler">
      <input semantic="INPUT" source="#Lagrange7_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange7_location_X-output"/>
    </sampler>
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      <technique_common>
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            <param name="Y" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="Lagrange7_location_Y-sampler">
      <input semantic="INPUT" source="#Lagrange7_location_X-input"/>
      <input semantic="OUTPUT" source="#Lagrange7_location_Y-output"/>
    </sampler>
    <channel source="#Lagrange7_location_X-sampler" target="Lagrange07/location.X"/>
    <channel source="#Lagrange7_location_Y-sampler" target="Lagrange07/location.Y"/>
    <channel source="#Lagrange7_location_X-sampler" target="Lagrange08/location.X"/>
    <channel source="#Lagrange7_location_Y-sampler" target="Lagrange08/location.Y"/>
    <channel source="#Lagrange7_location_X-sampler" target="Lagrange09/location.X"/>
    <channel source="#Lagrange7_location_Y-sampler" target="Lagrange09/location.Y"/>
</animation>
<!-- CLOCK (clockstop = 36.5047) 
     One spin of ellipsoid (or frame) is 1.8252 EFE sqrt(pi * G * rho) units;
     Want 1 EFE unit to take 4.0 seconds of TIME;
     Hence, one spin of ellipsoid (360 degrees) is 7.3009 seconds of TIME;
            and 5 ellipsoid spins is 36.5047 seconds of TIME.
     Divide one spin (360) into 12 pieces 
     ==> 30 degrees = 1 timestep = 4 x 0.1521 = 0.6084 seconds of TIME.
-->
  <animation id="Cube_quaternion_Z">
    <source id="Cube_quaternion_Z-input">
      <float_array id="Cube_quaternion_Z-input-array" count=" 126">
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    12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75
    16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75
    20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75
    24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75
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      </float_array>
      <technique_common>
          <accessor source="#Cube_quaternion_Z-input-array" count="   126" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="Cube_quaternion_Z-output">
      <float_array id="Cube_quaternion_Z-output-array" count="2016">
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<!-- HOURHAND (clockstop =    36.5047) -->
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     0.00  0.25  0.50  0.75  1.00  1.25  1.50  1.75  2.00  2.25  2.50  2.75  3.00  3.25  3.50  3.75
     4.00  4.25  4.50  4.75  5.00  5.25  5.50  5.75  6.00  6.25  6.50  6.75  7.00  7.25  7.50  7.75
     8.00  8.25  8.50  8.75  9.00  9.25  9.50  9.75 10.00 10.25 10.50 10.75 11.00 11.25 11.50 11.75
    12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75
    16.00 16.25 16.50 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 18.75 19.00 19.25 19.50 19.75
    20.00 20.25 20.50 20.75 21.00 21.25 21.50 21.75 22.00 22.25 22.50 22.75 23.00 23.25 23.50 23.75
    24.00 24.25 24.50 24.75 25.00 25.25 25.50 25.75 26.00 26.25 26.50 26.75 27.00 27.25 27.50 27.75
    28.00 28.25 28.50 28.75 29.00 29.25 29.50 29.75 30.00 30.25 30.50 30.75 31.00 31.25
      </float_array>
      <technique_common>
          <accessor source="#HourHand_euler_Z-input-array" count="  126" stride="1">
            <param name="TIME" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <source id="HourHand_euler_Z-output">
      <float_array id="HourHand_euler_Z-output-array" count="  126">
  270.0
  268.125
  266.25
  264.375
  262.5
  260.625
  258.75
  256.875
  255.0
  253.125
  251.25
  249.375
  247.5
  245.625
  243.75
  241.875
  240.0
  238.125
  236.25
  234.375
  232.5
  230.625
  228.75
  226.875
  225.0
  223.125
  221.25
  219.375
  217.5
  215.625
  213.75
  211.875
  210.0
  208.125
  206.25
  204.375
  202.5
  200.625
  198.75
  196.875
  195.0
  193.125
  191.25
  189.375
  187.5
  185.625
  183.75
  181.875
  180.0
  178.125
  176.25
  174.375
  172.5
  170.625
  168.75
  166.875
  165.0
  163.125
  161.25
  159.375
  157.5
  155.625
  153.75
  151.875
  150.0
  148.125
  146.25
  144.375
  142.5
  140.625
  138.75
  136.875
  135.0
  133.125
  131.25
  129.375
  127.5
  125.625
  123.75
  121.875
  120.0
  118.125
  116.25
  114.375
  112.5
  110.625
  108.75
  106.875
  105.0
  103.125
  101.25
   99.375
   97.5
   95.625
   93.75
   91.875
   90.0
   88.125
   86.25
   84.375
   82.5
   80.625
   78.75
   76.875
   75.0
   73.125
   71.25
   69.375
   67.5
   65.625
   63.75
   61.875
   60.0
   58.125
   56.25
   54.375
   52.5
   50.625
   48.75
   46.875
   45.0
   43.125
   41.25
   39.375
   37.5
   35.625
      </float_array>
      <technique_common>
          <accessor source="#HourHand_euler_Z-output-array" count="   126" stride="1">
            <param name="ANGLE" type="float"/>
          </accessor>
      </technique_common>
    </source>
    <sampler id="HourHand_euler_Z-sampler">
      <input semantic="INPUT" source="#HourHand_euler_Z-input"/>
      <input semantic="OUTPUT" source="#HourHand_euler_Z-output"/>
    </sampler>
    <channel source="#HourHand_euler_Z-sampler" target="HourHand/rotationZ.ANGLE"/>
  </animation>
    </library_animations>
    <library_controllers/>
    <library_visual_scenes>
        <visual_scene id="ID1">
            <node id="EntireEllipsoid" name="OculusRift_EFE">
             <translate>0.0 0.0 0.0</translate>
             <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
             <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
             <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
             <scale sid="scale">5.0 5.0 5.0</scale>
                <node id="First" name="First_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
                <node id="Second" name="Second_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  180.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0    0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0    0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
                <node id="Third" name="Third_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0    0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  180.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0    0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
                <node id="Fourth" name="Fourth_instance_EFE">
                  <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  180.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  180.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0    0.0</rotate>
                  <scale sid="scale">1.0 1.0 1.0</scale>
                  <instance_node url="#ID3_EFE" />
                </node>
<!-- instance:  Cylindrical Pointer -->
                <node id="CylinderPointer" name="instance_cylinder">  
                  <translate sid="location">-1.0 0.0 0.0</translate>
                    <rotate sid="rotationX">1 0 0 0</rotate>
                    <rotate sid="rotationY">0 1 0 0</rotate>
                    <rotate sid="rotationZ">0 0 1 180</rotate>
                  <scale sid="scale">0.05 0.025 0.025</scale>
                  <instance_node url="#CylPointer" />
                </node>                                         
<!-- Begin LAGRANGE markers -->
              <node id="Lagrange01" name="instance_Lagrange01">
                  <translate sid="location">1.0000 0.0000 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.03 0.03 0.03</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            <node id="Shrink02" name="instance_Shrink02">
              <scale sid="scale">0.8 0.8 0.8</scale>
              <node id="Lagrange02" name="instance_Lagrange02">
                  <translate sid="location">1.0000 0.0000 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.0375 0.0375 0.0375</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
            <node id="Shrink03" name="instance_Shrink03">
              <scale sid="scale">0.6 0.6 0.6</scale>
              <node id="Lagrange03" name="instance_Lagrange03">
                  <translate sid="location">1.0000 0.0000 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.05 0.05 0.05</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
              <node id="Lagrange04" name="instance_Lagrange04">
                  <translate sid="location">0.9686 0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.03 0.03 0.03</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            <node id="Shrink05" name="instance_Shrink05">
              <scale sid="scale">0.8 0.8 0.8</scale>
              <node id="Lagrange05" name="instance_Lagrange05">
                  <translate sid="location">0.9686 0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.0375 0.0375 0.0375</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
            <node id="Shrink06" name="instance_Shrink06">
              <scale sid="scale">0.6 0.6 0.6</scale>
              <node id="Lagrange06" name="instance_Lagrange06">
                  <translate sid="location">0.9686 0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.05 0.05 0.05</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
              <node id="Lagrange07" name="instance_Lagrange07">
                  <translate sid="location">0.9686 -0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.03 0.03 0.03</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            <node id="Shrink08" name="instance_Shrink08">
              <scale sid="scale">0.8 0.8 0.8</scale>
              <node id="Lagrange08" name="instance_Lagrange08">
                  <translate sid="location">0.9686 -0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.0375 0.0375 0.0375</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
            <node id="Shrink09" name="instance_Shrink09">
              <scale sid="scale">0.6 0.6 0.6</scale>
              <node id="Lagrange09" name="instance_Lagrange09">
                  <translate sid="location">0.9686 -0.1840 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
                  <scale sid="scale">0.05 0.05 0.05</scale>
                <instance_node url="#Primary_MarkerID3" />
              </node>
            </node>
              <node id="Marker01" name="instance_marker01">
                <matrix>0.025 0.0 0.0 1.0000  0.0 0.025 0.0 -0.0000  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker02" name="instance_marker02">
                <matrix>0.025 0.0 0.0 0.9921  0.0 0.025 0.0 -0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker03" name="instance_marker03">
                <matrix>0.025 0.0 0.0 0.9686  0.0 0.025 0.0 -0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker04" name="instance_marker04">
                <matrix>0.025 0.0 0.0 0.9298  0.0 0.025 0.0 -0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker05" name="instance_marker05">
                <matrix>0.025 0.0 0.0 0.8763  0.0 0.025 0.0 -0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker06" name="instance_marker06">
                <matrix>0.025 0.0 0.0 0.8090  0.0 0.025 0.0 -0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker07" name="instance_marker07">
                <matrix>0.025 0.0 0.0 0.7290  0.0 0.025 0.0 -0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker08" name="instance_marker08">
                <matrix>0.025 0.0 0.0 0.6374  0.0 0.025 0.0 -0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker09" name="instance_marker09">
                <matrix>0.025 0.0 0.0 0.5358  0.0 0.025 0.0 -0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker10" name="instance_marker10">
                <matrix>0.025 0.0 0.0 0.4258  0.0 0.025 0.0 -0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker11" name="instance_marker11">
                <matrix>0.025 0.0 0.0 0.3090  0.0 0.025 0.0 -0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker12" name="instance_marker12">
                <matrix>0.025 0.0 0.0 0.1874  0.0 0.025 0.0 -0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker13" name="instance_marker13">
                <matrix>0.025 0.0 0.0 0.0628  0.0 0.025 0.0 -0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker14" name="instance_marker14">
                <matrix>0.025 0.0 0.0 -0.0628  0.0 0.025 0.0 -0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker15" name="instance_marker15">
                <matrix>0.025 0.0 0.0 -0.1874  0.0 0.025 0.0 -0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker16" name="instance_marker16">
                <matrix>0.025 0.0 0.0 -0.3090  0.0 0.025 0.0 -0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker17" name="instance_marker17">
                <matrix>0.025 0.0 0.0 -0.4258  0.0 0.025 0.0 -0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker18" name="instance_marker18">
                <matrix>0.025 0.0 0.0 -0.5358  0.0 0.025 0.0 -0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker19" name="instance_marker19">
                <matrix>0.025 0.0 0.0 -0.6374  0.0 0.025 0.0 -0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker20" name="instance_marker20">
                <matrix>0.025 0.0 0.0 -0.7290  0.0 0.025 0.0 -0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker21" name="instance_marker21">
                <matrix>0.025 0.0 0.0 -0.8090  0.0 0.025 0.0 -0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker22" name="instance_marker22">
                <matrix>0.025 0.0 0.0 -0.8763  0.0 0.025 0.0 -0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker23" name="instance_marker23">
                <matrix>0.025 0.0 0.0 -0.9298  0.0 0.025 0.0 -0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker24" name="instance_marker24">
                <matrix>0.025 0.0 0.0 -0.9686  0.0 0.025 0.0 -0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker25" name="instance_marker25">
                <matrix>0.025 0.0 0.0 -0.9921  0.0 0.025 0.0 -0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker26" name="instance_marker26">
                <matrix>0.025 0.0 0.0 -1.0000  0.0 0.025 0.0 -0.0000  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
<!-- Second Half -->
              <node id="Marker28" name="instance_marker28">
                <matrix>0.025 0.0 0.0 -0.9921  0.0 0.025 0.0 0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker29" name="instance_marker29">
                <matrix>0.025 0.0 0.0 -0.9686  0.0 0.025 0.0 0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker30" name="instance_marker30">
                <matrix>0.025 0.0 0.0 -0.9298  0.0 0.025 0.0 0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker31" name="instance_marker31">
                <matrix>0.025 0.0 0.0 -0.8763  0.0 0.025 0.0 0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker32" name="instance_marker32">
                <matrix>0.025 0.0 0.0 -0.8090  0.0 0.025 0.0 0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker33" name="instance_marker33">
                <matrix>0.025 0.0 0.0 -0.7290  0.0 0.025 0.0 0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker34" name="instance_marker34">
                <matrix>0.025 0.0 0.0 -0.6374  0.0 0.025 0.0 0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker35" name="instance_marker35">
                <matrix>0.025 0.0 0.0 -0.5358  0.0 0.025 0.0 0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker36" name="instance_marker36">
                <matrix>0.025 0.0 0.0 -0.4258  0.0 0.025 0.0 0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker37" name="instance_marker37">
                <matrix>0.025 0.0 0.0 -0.3090  0.0 0.025 0.0 0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker38" name="instance_marker38">
                <matrix>0.025 0.0 0.0 -0.1874  0.0 0.025 0.0 0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker39" name="instance_marker39">
                <matrix>0.025 0.0 0.0 -0.0628  0.0 0.025 0.0 0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker40" name="instance_marker40">
                <matrix>0.025 0.0 0.0 0.0628  0.0 0.025 0.0 0.7385  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker41" name="instance_marker41">
                <matrix>0.025 0.0 0.0 0.1874  0.0 0.025 0.0 0.7269  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker42" name="instance_marker42">
                <matrix>0.025 0.0 0.0 0.3090  0.0 0.025 0.0 0.7038  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker43" name="instance_marker43">
                <matrix>0.025 0.0 0.0 0.4258  0.0 0.025 0.0 0.6696  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker44" name="instance_marker44">
                <matrix>0.025 0.0 0.0 0.5358  0.0 0.025 0.0 0.6248  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker45" name="instance_marker45">
                <matrix>0.025 0.0 0.0 0.6374  0.0 0.025 0.0 0.5702  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker46" name="instance_marker46">
                <matrix>0.025 0.0 0.0 0.7290  0.0 0.025 0.0 0.5066  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker47" name="instance_marker47">
                <matrix>0.025 0.0 0.0 0.8090  0.0 0.025 0.0 0.4350  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker48" name="instance_marker48">
                <matrix>0.025 0.0 0.0 0.8763  0.0 0.025 0.0 0.3565  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker49" name="instance_marker49">
                <matrix>0.025 0.0 0.0 0.9298  0.0 0.025 0.0 0.2724  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker50" name="instance_marker50">
                <matrix>0.025 0.0 0.0 0.9686  0.0 0.025 0.0 0.1840  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
              <node id="Marker51" name="instance_marker51">
                <matrix>0.025 0.0 0.0 0.9921  0.0 0.025 0.0 0.0927  0.0 0.0 0.025 0.0000 0.0 0.0 0.0 1.0</matrix>
                <instance_node url="#MarkersID3" />
              </node>
<!-- End LAGRANGE markers -->
            </node>                           <!-- END EntireEllipsoid -->
          <node id="Inertial" name="instance_inertial">  <!-- Start Inertial Grouping of Objects -->
            <translate>0.0 0.0 0.0</translate>
            <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
            <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
            <rotate sid="rotationZ">0.0 0.0 1.0  1801.0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
            <node id="Zup_Pointer" name="instance_zupPointer">  
              <translate>0.0 0.0 5.0</translate>
                <rotate sid="rotationX">1 0 0  0.0</rotate>
                <rotate sid="rotationY">0 1 0  0.0</rotate>
                <rotate sid="rotationZ">0 0 1  0.0</rotate>
              <scale sid="scale">0.125 0.5 1.5</scale>
              <instance_node url="#ZupPointer" />
            </node>                                         
<!-- instance:  MidPlane Frame (MidPlane flips with rotationX = 180 for clockwise spin)-->
            <node id="MidPlane" name="instance_MidPlane">  
              <translate>0.0 0.0 0.0</translate>
                  <rotate sid="rotationX">1.0 0.0 0.0  0.0</rotate>
                  <rotate sid="rotationY">0.0 1.0 0.0  0.0</rotate>
                  <rotate sid="rotationZ">0.0 0.0 1.0  0.0</rotate>
              <scale sid="scale">1.25 1.25 1.25</scale>
              <instance_node url="#EqPlane" />
            </node> 
<!-- BEGIN LABELING HERE -->
          <node name="Labels">
          <translate>7.0 -2.0 5.0</translate>
          <rotate sid="rotationX">1 0 0 0.0</rotate>
          <rotate sid="rotationY">0 1 0 0</rotate>
          <rotate sid="rotationZ">0 0 1 180</rotate>
          <scale sid="scale">0.1 0.1 0.1</scale>
<!--  Equals sign #1  -->
            <node name="Equals1">
            <translate>0.0 15.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDd51" name="instance_51">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd52" name="instance_52">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd53" name="instance_53">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd55" name="instance_55">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd56" name="instance_56">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd57" name="instance_57">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
            </node>
<!--  Equals sign #2  -->
            <node name="Equals2">
            <translate>0.0 15.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDd51" name="instance_51">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd52" name="instance_52">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd53" name="instance_53">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd55" name="instance_55">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd56" name="instance_56">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDd57" name="instance_57">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 4.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
          </node>
<!--  Division sign #1  -->
            <node name="Divide1">
            <translate>0.0 4.4 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 0.75 1.0</scale>
                <node id="IDd21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd22" name="instance_22">
                    <matrix>0.25  0 0 0.0   0 -1  0 1.1  0 0 -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd23" name="instance_23">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd24" name="instance_24">
                    <matrix>0.25  0 0 0.0   0 -1  0 2.2  0 0 -1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd25" name="instance_25">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd26" name="instance_26">
                    <matrix>0.25  0 0 0.0   0 -1  0 3.3  0 0 -1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd27" name="instance_27">
                    <matrix>0.25  0 0 0.0   0 1  0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
            </node>
<!--  Division sign #2  -->
            <node name="Divide2">
            <translate>0.0 4.4 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 0.75 1.0</scale>
                <node id="IDd21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd22" name="instance_22">
                    <matrix>0.25  0 0 0.0   0 -1  0 1.1  0 0 -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd23" name="instance_23">
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd24" name="instance_24">
                    <matrix>0.25  0 0 0.0   0 -1  0 2.2  0 0 -1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd25" name="instance_25">
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd26" name="instance_26">
                    <matrix>0.25  0 0 0.0   0 -1  0 3.3  0 0 -1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
                <node id="IDd27" name="instance_27">
                    <matrix>0.25  0 0 0.0   0 1  0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#Black_DiagonalID3" />
                </node>
            </node>
<!--  Letter "a" #1  -->
            <node name="Letter_a1">
            <translate>0.0 8.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDa01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa18" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 1 4.4  0 -1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 -1 3.3  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa31" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "a" #2  -->
            <node name="Letter_a2">
            <translate>0.0 8.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDa01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa18" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 1 4.4  0 -1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 -1 3.3  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa31" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "a" #2  -->
            <node name="Letter_a2">
            <translate>0.0 8.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDa01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa18" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 1 4.4  0 -1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 0 -1 3.3  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa31" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDa20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDa21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "c"  -->
            <node name="Letter_c">
            <translate>0.0 0.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="ID001" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID002" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID006" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID007" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID010" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID011" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="ID018" name="instance_18">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0  1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="ID019" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="ID020" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="ID021" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!--  Letter "b"  ... has 8 + (4 x 15) = 68 lines -->
            <node name="Letter_b">
            <translate>0.0 0.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDb01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb02" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb03" name="instance_3">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb04" name="instance_4">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb05" name="instance_5">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb12" name="instance_12">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb08" name="instance_8">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb09" name="instance_9">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
            </node>
<!-- DECIMAL POINTS -->
                <node id="IDD01" name="Decimal_1">
                    <matrix>0.25 0 0 0.0  0 1 0 25.0  0 0 1 1.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDD02" name="Decimal_2">
                    <matrix>0.25 0 0 0.0  0 1 0 25.0  0 0 1 -8.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
<!--  Number "0" #1  ... has 8 + (4 x 18) = 80 lines -->
            <node name="Number_0">
            <translate>0.0 20.0 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDb01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb02" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb03" name="instance_3">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb04" name="instance_4">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb05" name="instance_5">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz19" name="instance_z19">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb08" name="instance_8">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb09" name="instance_9">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDz11" name="instance_z11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz12" name="instance_z12">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz13" name="instance_z13">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
            </node>
<!--  Number "0" #2  ... has 8 + (4 x 18) = 80 lines -->
            <node name="Number_0b">
            <translate>0.0 20.0 -8.5</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
                <node id="IDb01" name="instance_1">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb02" name="instance_2">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb03" name="instance_3">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb04" name="instance_4">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb05" name="instance_5">
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz19" name="instance_z19">
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb06" name="instance_6">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb07" name="instance_7">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb08" name="instance_8">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb09" name="instance_9">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb10" name="instance_10">
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb11" name="instance_11">
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDb19" name="instance_19">
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb20" name="instance_20">
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDb21" name="instance_21">
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>
                    <instance_node url="#DiagonalID3" />
                </node>
                <node id="IDz11" name="instance_z11">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz12" name="instance_z12">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
                <node id="IDz13" name="instance_z13">
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>
                    <instance_node url="#LettersID3" />
                </node>
            </node>
<!--  Number "1" ... has 8 + (4 x 8) = 40 lines -->
<!--  Number "2" #1 ... has 8 + (4 x 17) = 76 lines -->
<!--  Number "2" #2 ... has 8 + (4 x 17) = 76 lines -->
<!--  Number "3"  ... has 8 + (4 x 18) = 80 lines -->
<!--  Number "4" ... has 8 + (4 x 13) = 60 lines -->
<!--  Number "5"  ... has 8 + (4 x 17) = 76 lines -->
<!--  Number "6" ... has 8 + (4 x 18) = 80 lines -->
<!--  Number "7" ... has 8 + (4 x 14) = 64 lines -->
<!--  Number "8" ... has 8 + (4 x 22) = 96 lines -->
<!--  Number "9"  ... has 8 + (4 x 15) = 68 lines -->
<!-- bovera_Digit1 is "4" -->
            <node name="bovera_Digit1">
            <translate>0.0 26.8 1.0</translate>
            <rotate sid="rotationX">1 0 0 0</rotate>
            <rotate sid="rotationY">0 1 0 0</rotate>
            <rotate sid="rotationZ">0 0 1 0</rotate>
            <scale sid="scale">1.0 1.0 1.0</scale>
<!--  Number "4" ... has 8 + (4 x 13) = 60 lines -->
                <node id="IDd21" name="instance_21">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd22" name="instance_22">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 0.825  0 0 -1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd23" name="instance_23">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 0.825  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd24" name="instance_24">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 1.650  0 0 -1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd25" name="instance_25">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 1.650  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd26" name="instance_26">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 2.475  0 0 -1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd25" name="instance_25">^M
                    <matrix>0.25  0 0 0.0   0 0.75  0 2.475  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd26" name="instance_26">^M
                    <matrix>0.25  0 0 0.0   0 -0.75  0 3.3  0 0 -1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
<!--  Number "4" ... has 8 + (4 x 13) = 60 lines -->^M
            <node name="bovera_Digit2">^M
            <translate>0.0 31.8 1.0</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDe01" name="instance_e01">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe02" name="instance_e02">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe02" name="instance_e02">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb04" name="instance_4">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb08" name="instance_8">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDn09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDf12" name="instance_n12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDn12" name="instance_n12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz12" name="instance_z12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
<!--  Number "6" ... has 8 + (4 x 18) = 80 lines -->^M
            <node name="covera_Digit1">^M
            <translate>0.0 26.8 -8.5</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDb01" name="instance_1">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb02" name="instance_2">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb03" name="instance_3">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb04" name="instance_4">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDs06" name="instance_s6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDs07" name="instance_s7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb08" name="instance_8">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb10" name="instance_10">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb11" name="instance_11">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb19" name="instance_19">^M
                    <matrix>0.25  0 0 0.0  0 -1 0 3.3  0 0  -1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDs20" name="instance_s20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb21" name="instance_21">^M
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
            </node>^M
<!--  Number "9"  ... has 8 + (4 x 15) = 68 lines -->^M
            <node name="covera_Digit2">^M
            <translate>0.0 31.8 -8.5</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDe01" name="instance_e01">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe02" name="instance_e02">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDe21" name="instance_e21">^M
                    <matrix>0.25  0 0 0.0   0 0 -1 0.0  0 1 0 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb04" name="instance_4">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb08" name="instance_8">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDn09" name="instance_9">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDn12" name="instance_n12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz12" name="instance_z12">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
<!--  Number "2" #1 ... has 8 + (4 x 17) = 76 lines -->^M
            <node name="covera_Digit3">^M
            <translate>0.0 37.1 -8.5</translate>^M
            <rotate sid="rotationX">1 0 0 0</rotate>^M
            <rotate sid="rotationY">0 1 0 0</rotate>^M
            <rotate sid="rotationZ">0 0 1 0</rotate>^M
            <scale sid="scale">1.0 1.0 1.0</scale>^M
                <node id="IDd21" name="instance_21">^M
                    <matrix>0.25  0 0 0.0   0 1  0 0.0  0 0 1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd22" name="instance_22">^M
                    <matrix>0.25  0 0 0.0   0 -1  0 1.1  0 0 -1 2.2  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd23" name="instance_23">^M
                    <matrix>0.25  0 0 0.0   0 1  0 1.1  0 0 1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd24" name="instance_24">^M
                    <matrix>0.25  0 0 0.0   0 -1  0 2.2  0 0 -1 3.3  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd25" name="instance_25">^M
                    <matrix>0.25  0 0 0.0   0 1  0 2.2  0 0 1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDd26" name="instance_26">^M
                    <matrix>0.25  0 0 0.0   0 -1  0 3.3  0 0 -1 4.4  0 0 0 1.0</matrix>^M
                    <instance_node url="#Black_DiagonalID3" />^M
                </node>^M
                <node id="IDb01" name="instance_1">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 1.1  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDt05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDt06" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb05" name="instance_5">^M
                    <matrix>0.25 0 0 0.0  0 1 0 0.0  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDz19" name="instance_z19">^M
                    <matrix>0.25  0 0 0.0  0 1 0 0.0  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDb06" name="instance_6">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb07" name="instance_7">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb10" name="instance_10">^M
                    <matrix>0.25 0 0 0.0  0 1 0 1.1  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb11" name="instance_11">^M
                    <matrix>0.25 0 0 0.0  0 1 0 2.2  0 0 1 0.0  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
                <node id="IDb20" name="instance_20">^M
                    <matrix>0.25  0 0 0.0   0 0 1 3.3  0 -1 0 6.6  0 0 0 1.0</matrix>^M
                    <instance_node url="#DiagonalID3" />^M
                </node>^M
                <node id="IDz13" name="instance_z13">^M
                    <matrix>0.25 0 0 0.0  0 1 0 3.3  0 0 1 5.5  0 0 0 1.0</matrix>^M
                    <instance_node url="#LettersID3" />^M
                </node>^M
            </node>^M
          </node>
<!-- END LABELING HERE -->
<!-- BEGIN CLOCK -->
          <node id="EntireClock" name="instance_Clock">
            <translate>7.0 0.0 5.0</translate>
            <rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
            <rotate sid="rotationY">0.0 1.0 0.0 0.0</rotate>
            <rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
            <scale sid="scale">1.00 1.00 1.00</scale>
            <node id="firstclock" name="instance_1">        <!-- TWO -->
              <translate>0.0 0.0 0.0</translate>
              <rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
              <rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
              <rotate sid="rotationZ">0.0 0.0 1.0 0.0</rotate>
              <scale sid="scale">1.00 1.00 1.00</scale>
              <instance_node url="#ID3" />
            </node>                                         <!-- /TWO -->
            <node id="Jetman" name="instance_Arrow">        <!-- TWO -->
              <matrix sid="transformation"> 0.000  0.000 -1.00  0.00  -1.0000  0.0000  0.000  0.000   0.0000  1.0000  0.000  0.00   0.000  0.000  0.000  1.000</matrix>
              <instance_node url="#ArrowID3" />
            </node>                                         <!-- /TWO -->
            <node id="HourHand" name="instance_Hour">       <!-- TWO -->
              <translate>0.0 0.0 0.0</translate>
              <rotate sid="rotationX">1.0 0.0 0.0 0.0</rotate>
              <rotate sid="rotationY">0.0 1.0 0.0 -90.0</rotate>
              <rotate sid="rotationZ">0.0 0.0 1 270.0</rotate>
              <scale sid="scale">0.75 0.75 0.75</scale>
              <instance_node url="#HourID3" />
            </node>                                         <!-- /TWO -->
          </node>
<!-- END CLOCK   -->
          </node> <!-- End Inertial Grouping of Objects -->
        </visual_scene>
    </library_visual_scenes>
    <scene>
        <instance_visual_scene url="#ID1" />
    </scene>
</COLLADA>


Adjoint Configurations

b74c692AI.dae [Adjoint Inertial Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text

<?xml version="1.0" encoding="UTF-8" standalone="no" ?>


b74c692ARot.dae [Adjoint Rotating Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text

<?xml version="1.0" encoding="UTF-8" standalone="no" ?>

See Also


Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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Appendices: | Equations | Variables | References | Ramblings | Images | myphys.lsu | ADS |
Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation