<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE X3D PUBLIC "ISO//Web3D//DTD X3D 3.3//EN" "https://www.web3d.org/specifications/x3d-3.3.dtd">
<X3D profile='Interchange' version='3.3' xmlns:xsd='http://www.w3.org/2001/XMLSchema-instance' xsd:noNamespaceSchemaLocation='https://www.web3d.org/specifications/x3d-3.3.xsd'>
  <head>
    <meta content='Spiral.x3d' name='title'/>
    <meta content='Spiral flow shows how to move a set of particles (spheres) along a pre-computed animation path. Such an approach might be used to visualize the results of a fluid flow simulation.' name='description'/>
    <meta content='David R. Nadeau' name='creator'/>
    <meta content='Don Brutzman' name='translator'/>
    <meta content='1 July 1998' name='created'/>
    <meta content='2 February 2014' name='translated'/>
    <meta content='20 October 2019' name='modified'/>
    <meta content='Spiral.png' name='Image'/>
    <meta content='originals/spiral.wrl' name='reference'/>
    <meta content='build the track that the balls follow' name='TODO'/>
    <meta content='http://www.siggraph.org/s98' name='reference'/>
    <meta content='http://www.siggraph.org/s98/conference/courses/18.html' name='reference'/>
    <meta content='http://www.sdsc.edu/~moreland/courses/Siggraph98/vrml97/slides/mt0008.htm' name='reference'/>
    <meta content='http://www.sdsc.edu/~moreland/courses/Siggraph98/vrml97/slides/mt0151.htm' name='reference'/>
    <meta content='http://www.sdsc.edu/~moreland/courses/Siggraph98/vrml97/vrml97.htm' name='reference'/>
    <meta content='https://www.web3d.org/x3d/content/examples/X3dResources.html' name='reference'/>
    <meta content='https://www.web3d.org/x3d/content/examples/Vrml2Sourcebook/Siggraph98Course/Spiral.x3d' name='identifier'/>
    <meta content='Vrml97ToX3dNist, http://ovrt.nist.gov/v2_x3d.html' name='generator'/>
    <meta content='X3D-Edit, https://www.web3d.org/x3d/tools/X3D-Edit' name='generator'/>
    <meta content='../license.html' name='license'/>
  </head>
  <Scene>
    <WorldInfo info='"Copyright (c) 1997, David R. Nadeau"' title='Spiral flow'/>
    <Viewpoint description='Entry view' position='0.0 9.0 35.0'/>
    <NavigationInfo/>
    <!-- Center pole -->
    <Transform translation='0.0 8.0 0.0'>
      <Shape>
        <Appearance DEF='BaseColor'>
          <Material diffuseColor='0.0 0.5 1.0'/>
        </Appearance>
        <Cylinder height='18.0' radius='0.5'/>
      </Shape>
    </Transform>
    <!-- Ground under pole -->
    <Transform translation='0.0 -1.0 0.0'>
      <Shape>
        <Appearance USE='BaseColor'/>
        <Cylinder height='0.25' radius='6.0'/>
      </Shape>
    </Transform>
    <!-- Particle source -->
    <Transform translation='0.0 16.0 0.0'>
      <Transform rotation='1.0 0.0 0.0 -1.571' translation='4.5 0.0 -1.0'>
        <Shape>
          <Appearance USE='BaseColor'/>
          <Cone bottomRadius='1.2' height='2.5'/>
        </Shape>
      </Transform>
      <Transform translation='2.25 0.0 0.0'>
        <Shape>
          <Appearance USE='BaseColor'/>
          <Box size='4.5 0.5 0.5'/>
        </Shape>
      </Transform>
    </Transform>
    <!-- Particle sink -->
    <Transform>
      <Transform rotation='1.0 0.0 0.0 1.571' translation='4.5 0.0 1.0'>
        <Shape>
          <Appearance USE='BaseColor'/>
          <Cone bottomRadius='1.2' height='2.5'/>
        </Shape>
      </Transform>
      <Transform translation='2.25 0.0 0.0'>
        <Shape>
          <Appearance USE='BaseColor'/>
          <Box size='4.5 0.5 0.5'/>
        </Shape>
      </Transform>
    </Transform>
    <!-- Set of particles to spin around the pole -->
    <Transform DEF='Particle1'>
      <Shape>
        <Appearance>
          <Material DEF='Material1'/>
        </Appearance>
        <Sphere DEF='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle2'>
      <Shape>
        <Appearance>
          <Material DEF='Material2'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle3'>
      <Shape>
        <Appearance>
          <Material DEF='Material3'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle4'>
      <Shape>
        <Appearance>
          <Material DEF='Material4'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle5'>
      <Shape>
        <Appearance>
          <Material DEF='Material5'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle6'>
      <Shape>
        <Appearance>
          <Material DEF='Material6'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle7'>
      <Shape>
        <Appearance>
          <Material DEF='Material7'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle8'>
      <Shape>
        <Appearance>
          <Material DEF='Material8'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle9'>
      <Shape>
        <Appearance>
          <Material DEF='Material9'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle10'>
      <Shape>
        <Appearance>
          <Material DEF='Material10'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle11'>
      <Shape>
        <Appearance>
          <Material DEF='Material11'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <Transform DEF='Particle12'>
      <Shape>
        <Appearance>
          <Material DEF='Material12'/>
        </Appearance>
        <Sphere USE='Particle'/>
      </Shape>
    </Transform>
    <!-- Set of timers, one per particle -->
    <TimeSensor DEF='Timer1' cycleInterval='12.0' loop='true' stopTime='-1.0'/>
    <TimeSensor DEF='Timer2' cycleInterval='12.0' loop='true' startTime='0.25' stopTime='-1.0'/>
    <TimeSensor DEF='Timer3' cycleInterval='12.0' loop='true' startTime='0.5' stopTime='-1.0'/>
    <TimeSensor DEF='Timer4' cycleInterval='12.0' loop='true' startTime='0.7500000000000001' stopTime='-1.0'/>
    <TimeSensor DEF='Timer5' cycleInterval='12.0' loop='true' startTime='1.0' stopTime='-1.0'/>
    <TimeSensor DEF='Timer6' cycleInterval='12.0' loop='true' startTime='1.25' stopTime='-1.0'/>
    <TimeSensor DEF='Timer7' cycleInterval='12.0' loop='true' startTime='6.0' stopTime='-1.0'/>
    <TimeSensor DEF='Timer8' cycleInterval='12.0' loop='true' startTime='6.25' stopTime='-1.0'/>
    <TimeSensor DEF='Timer9' cycleInterval='12.0' loop='true' startTime='6.5' stopTime='-1.0'/>
    <TimeSensor DEF='Timer10' cycleInterval='12.0' loop='true' startTime='6.75' stopTime='-1.0'/>
    <TimeSensor DEF='Timer11' cycleInterval='12.0' loop='true' startTime='7.0' stopTime='-1.0'/>
    <TimeSensor DEF='Timer12' cycleInterval='12.0' loop='true' startTime='7.25' stopTime='-1.0'/>
    <!-- Set of position interpolators, one per particle. All paths are identical -->
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    <ColorInterpolator DEF='Color11' key='0.0 0.02 0.03 0.05 0.06 0.08 0.1 0.11 0.13 0.14 0.16 0.17 0.19 0.21 0.22 0.24 0.25 0.27 0.29 0.3 0.32 0.33 0.35 0.37 0.38 0.4 0.41 0.43 0.44 0.46 0.48 0.49 0.51 0.52 0.54 0.56 0.57 0.59 0.6 0.62 0.63 0.65 0.67 0.68 0.7 0.71 0.73 0.75 0.76 0.78 0.79 0.81 0.83 0.84 0.86 0.87 0.89 0.9 0.92 0.94 0.95 0.97 0.98 1.0' keyValue='0.5 0.5 0.0 0.45 0.55 0.0 0.4 0.6 0.0 0.35 0.65 0.0 0.31 0.69 0.0 0.26 0.74 0.0 0.22 0.78 0.0 0.18 0.82 0.0 0.14 0.86 0.0 0.11 0.89 0.0 0.08 0.92 0.0 0.06 0.94 0.0 0.03 0.97 0.0 0.02 0.98 0.0 0.01 0.99 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.01 0.99 0.0 0.03 0.97 0.0 0.04 0.96 0.0 0.07 0.93 0.0 0.09 0.91 0.0 0.13 0.87 0.0 0.16 0.84 0.0 0.2 0.8 0.0 0.24 0.76 0.0 0.28 0.72 0.0 0.33 0.67 0.0 0.38 0.62 0.0 0.43 0.57 0.0 0.48 0.52 0.0 0.52 0.48 0.0 0.57 0.43 0.0 0.62 0.38 0.0 0.67 0.33 0.0 0.72 0.28 0.0 0.76 0.24 0.0 0.8 0.2 0.0 0.84 0.16 0.0 0.87 0.13 0.0 0.91 0.09 0.0 0.93 0.07 0.0 0.96 0.04 0.0 0.97 0.03 0.0 0.99 0.01 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.99 0.01 0.0 0.98 0.02 0.0 0.97 0.03 0.0 0.94 0.06 0.0 0.92 0.08 0.0 0.89 0.11 0.0 0.86 0.14 0.0 0.82 0.18 0.0 0.78 0.22 0.0 0.74 0.26 0.0 0.69 0.31 0.0 0.65 0.35 0.0 0.6 0.4 0.0 0.55 0.45 0.0 0.5 0.5 0.0'/>
    <ColorInterpolator DEF='Color12' key='0.0 0.02 0.03 0.05 0.06 0.08 0.1 0.11 0.13 0.14 0.16 0.17 0.19 0.21 0.22 0.24 0.25 0.27 0.29 0.3 0.32 0.33 0.35 0.37 0.38 0.4 0.41 0.43 0.44 0.46 0.48 0.49 0.51 0.52 0.54 0.56 0.57 0.59 0.6 0.62 0.63 0.65 0.67 0.68 0.7 0.71 0.73 0.75 0.76 0.78 0.79 0.81 0.83 0.84 0.86 0.87 0.89 0.9 0.92 0.94 0.95 0.97 0.98 1.0' keyValue='0.5 0.5 0.0 0.45 0.55 0.0 0.4 0.6 0.0 0.35 0.65 0.0 0.31 0.69 0.0 0.26 0.74 0.0 0.22 0.78 0.0 0.18 0.82 0.0 0.14 0.86 0.0 0.11 0.89 0.0 0.08 0.92 0.0 0.06 0.94 0.0 0.03 0.97 0.0 0.02 0.98 0.0 0.01 0.99 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.01 0.99 0.0 0.03 0.97 0.0 0.04 0.96 0.0 0.07 0.93 0.0 0.09 0.91 0.0 0.13 0.87 0.0 0.16 0.84 0.0 0.2 0.8 0.0 0.24 0.76 0.0 0.28 0.72 0.0 0.33 0.67 0.0 0.38 0.62 0.0 0.43 0.57 0.0 0.48 0.52 0.0 0.52 0.48 0.0 0.57 0.43 0.0 0.62 0.38 0.0 0.67 0.33 0.0 0.72 0.28 0.0 0.76 0.24 0.0 0.8 0.2 0.0 0.84 0.16 0.0 0.87 0.13 0.0 0.91 0.09 0.0 0.93 0.07 0.0 0.96 0.04 0.0 0.97 0.03 0.0 0.99 0.01 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.99 0.01 0.0 0.98 0.02 0.0 0.97 0.03 0.0 0.94 0.06 0.0 0.92 0.08 0.0 0.89 0.11 0.0 0.86 0.14 0.0 0.82 0.18 0.0 0.78 0.22 0.0 0.74 0.26 0.0 0.69 0.31 0.0 0.65 0.35 0.0 0.6 0.4 0.0 0.55 0.45 0.0 0.5 0.5 0.0'/>
    <!-- Wire the animation circuit -->
    <ROUTE fromField='fraction_changed' fromNode='Timer1' toField='set_fraction' toNode='Position1'/>
    <ROUTE fromField='value_changed' fromNode='Position1' toField='set_translation' toNode='Particle1'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer1' toField='set_fraction' toNode='Color1'/>
    <ROUTE fromField='value_changed' fromNode='Color1' toField='set_diffuseColor' toNode='Material1'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer2' toField='set_fraction' toNode='Position2'/>
    <ROUTE fromField='value_changed' fromNode='Position2' toField='set_translation' toNode='Particle2'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer2' toField='set_fraction' toNode='Color2'/>
    <ROUTE fromField='value_changed' fromNode='Color2' toField='set_diffuseColor' toNode='Material2'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer3' toField='set_fraction' toNode='Position3'/>
    <ROUTE fromField='value_changed' fromNode='Position3' toField='set_translation' toNode='Particle3'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer3' toField='set_fraction' toNode='Color3'/>
    <ROUTE fromField='value_changed' fromNode='Color3' toField='set_diffuseColor' toNode='Material3'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer4' toField='set_fraction' toNode='Position4'/>
    <ROUTE fromField='value_changed' fromNode='Position4' toField='set_translation' toNode='Particle4'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer4' toField='set_fraction' toNode='Color4'/>
    <ROUTE fromField='value_changed' fromNode='Color4' toField='set_diffuseColor' toNode='Material4'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer5' toField='set_fraction' toNode='Position5'/>
    <ROUTE fromField='value_changed' fromNode='Position5' toField='set_translation' toNode='Particle5'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer5' toField='set_fraction' toNode='Color5'/>
    <ROUTE fromField='value_changed' fromNode='Color5' toField='set_diffuseColor' toNode='Material5'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer6' toField='set_fraction' toNode='Position6'/>
    <ROUTE fromField='value_changed' fromNode='Position6' toField='set_translation' toNode='Particle6'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer6' toField='set_fraction' toNode='Color6'/>
    <ROUTE fromField='value_changed' fromNode='Color6' toField='set_diffuseColor' toNode='Material6'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer7' toField='set_fraction' toNode='Position7'/>
    <ROUTE fromField='value_changed' fromNode='Position7' toField='set_translation' toNode='Particle7'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer7' toField='set_fraction' toNode='Color7'/>
    <ROUTE fromField='value_changed' fromNode='Color7' toField='set_diffuseColor' toNode='Material7'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer8' toField='set_fraction' toNode='Position8'/>
    <ROUTE fromField='value_changed' fromNode='Position8' toField='set_translation' toNode='Particle8'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer8' toField='set_fraction' toNode='Color8'/>
    <ROUTE fromField='value_changed' fromNode='Color8' toField='set_diffuseColor' toNode='Material8'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer9' toField='set_fraction' toNode='Position9'/>
    <ROUTE fromField='value_changed' fromNode='Position9' toField='set_translation' toNode='Particle9'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer9' toField='set_fraction' toNode='Color9'/>
    <ROUTE fromField='value_changed' fromNode='Color9' toField='set_diffuseColor' toNode='Material9'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer10' toField='set_fraction' toNode='Position10'/>
    <ROUTE fromField='value_changed' fromNode='Position10' toField='set_translation' toNode='Particle10'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer10' toField='set_fraction' toNode='Color10'/>
    <ROUTE fromField='value_changed' fromNode='Color10' toField='set_diffuseColor' toNode='Material10'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer11' toField='set_fraction' toNode='Position11'/>
    <ROUTE fromField='value_changed' fromNode='Position11' toField='set_translation' toNode='Particle11'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer11' toField='set_fraction' toNode='Color11'/>
    <ROUTE fromField='value_changed' fromNode='Color11' toField='set_diffuseColor' toNode='Material11'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer12' toField='set_fraction' toNode='Position12'/>
    <ROUTE fromField='value_changed' fromNode='Position12' toField='set_translation' toNode='Particle12'/>
    <ROUTE fromField='fraction_changed' fromNode='Timer12' toField='set_fraction' toNode='Color12'/>
    <ROUTE fromField='value_changed' fromNode='Color12' toField='set_diffuseColor' toNode='Material12'/>
  </Scene>
</X3D>