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<?xml version="1.0" encoding="ISO-8859-1"?>

<screensaver name="hypertorus" _label="Hypertorus" gl="yes">

  <command arg="-root"/>

  <video href="https://www.youtube.com/watch?v=KJWe4G4Qa1Q"/>

  <hgroup>
  <number id="delay" type="slider" arg="-delay %"
          _label="Frame rate" _low-label="Low" _high-label="High"
          low="0" high="100000" default="25000"
          convert="invert"/>
  <boolean id="showfps" _label="Show frame rate" arg-set="-fps"/>
  </hgroup>

  <hgroup>
    <select id="display-mode">
      <option id="wire"        _label="Wireframe"
              arg-set="-mode wireframe"/>
      <option id="surface"     _label="Solid"/>
      <option id="transparent" _label="Transparent"
              arg-set="-mode transparent"/>
    </select>

    <select id="appearance">
      <option id="solid" _label="Solid object"
              arg-set="-appearance solid"/>
      <option id="bands" _label="Transparent bands"/>
      <option id="bands" _label="1 transparent spiral"
              arg-set="-appearance spirals-1"/>
      <option id="bands" _label="2 transparent spirals"
              arg-set="-appearance spirals-2"/>
      <option id="bands" _label="4 transparent spirals"
              arg-set="-appearance spirals-4"/>
      <option id="bands" _label="8 transparent spirals"
              arg-set="-appearance spirals-8"/>
      <option id="bands" _label="16 Transparent spirals"
              arg-set="-appearance spirals-16"/>
    </select>

    <select id="colors">
      <option id="twosided" _label="Two-sided" arg-set="-twosided"/>
      <option id="colorwheel" _label="Color wheel"/>
    </select>

    <select id="projection3d">
      <option id="perspective-3d" _label="Perspective 3D"/>
      <option id="orthographic-3d" _label="Orthographic 3D"
              arg-set="-orthographic-3d"/>
    </select>

    <select id="projection4d">
      <option id="perspective-4d" _label="Perspective 4D"/>
      <option id="orthographic-4d" _label="Orthographic 4D"
              arg-set="-orthographic-4d"/>
    </select>
  </hgroup>

  <hgroup>

    <vgroup>

      <number id="speed-wx" type="slider" arg="-speed-wx %"
              _label="WX rotation speed"
              _low-label="-4.0" _high-label="4.0"
              low="-4.0" high="4.0" default="1.1"/>

      <number id="speed-wy" type="slider" arg="-speed-wy %"
              _label="WY rotation speed"
              _low-label="-4.0" _high-label="4.0"
              low="-4.0" high="4.0" default="1.3"/>

      <number id="speed-wz" type="slider" arg="-speed-wz %"
              _label="WZ rotation speed"
              _low-label="-4.0" _high-label="4.0"
              low="-4.0" high="4.0" default="1.5"/>

    </vgroup>

    <vgroup>

      <number id="speed-xy" type="slider" arg="-speed-xy %"
              _label="XY rotation speed"
              _low-label="-4.0" _high-label="4.0"
              low="-4.0" high="4.0" default="1.7"/>
    
      <number id="speed-xz" type="slider" arg="-speed-xz %"
              _label="XZ rotation speed"
              _low-label="-4.0" _high-label="4.0"
              low="-4.0" high="4.0" default="1.9"/>
    
      <number id="speed-yz" type="slider" arg="-speed-yz %"
              _label="YZ rotation speed"
              _low-label="-4.0" _high-label="4.0"
              low="-4.0" high="4.0" default="2.1"/>
    
    </vgroup>

  </hgroup>

  <xscreensaver-updater />

  <_description>
A Clifford Torus: a torus lying on the "surface" of a 4D hypersphere.
Inspired by Thomas Banchoff's book "Beyond the Third Dimension:
Geometry, Computer Graphics, and Higher Dimensions", Scientific
American Library, 1990.

https://en.wikipedia.org/wiki/N-sphere
https://en.wikipedia.org/wiki/Clifford_torus
https://en.wikipedia.org/wiki/Regular_polytope

Written by Carsten Steger; 2003.
  </_description>
</screensaver>