/usr/share/xscreensaver/config/polytopes.xml is in xscreensaver-gl 5.36-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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<screensaver name="polytopes" _label="Polytopes" gl="yes">
<command arg="-root"/>
<video href="https://www.youtube.com/watch?v=MKZQ5Q7QINM"/>
<hgroup>
<vgroup>
<select id="display-mode">
<option id="wire" _label="Wireframe mesh"
arg-set="-mode wireframe"/>
<option id="surface" _label="Solid surface"
arg-set="-mode surface"/>
<option id="transparent" _label="Transparent surface"/>
</select>
<select id="polytope">
<option id="random" _label="Random object"/>
<option id="cell-5" _label="5-cell (hyper-tetrahedron)"
arg-set="-polytope 5-cell"/>
<option id="cell-8" _label="8-cell (hypercube / tesseract)"
arg-set="-polytope 8-cell"/>
<option id="cell-16" _label="16-cell (hyper-octahedron)"
arg-set="-polytope 16-cell"/>
<option id="cell-24" _label="24-cell"
arg-set="-polytope 24-cell"/>
<option id="cell-120" _label="120-cell"
arg-set="-polytope 120-cell"/>
<option id="cell-600" _label="600-cell"
arg-set="-polytope 600-cell"/>
</select>
<select id="colors">
<option id="single" _label="Single color" arg-set="-single-color"/>
<option id="depth" _label="Colors By 4D Depth"/>
</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>
<boolean id="showfps" _label="Show frame rate" arg-set="-fps"/>
</vgroup>
<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"/>
<number id="delay" type="slider" arg="-delay %"
_label="Frame rate" _low-label="Low" _high-label="High"
low="0" high="100000" default="25000"
convert="invert"/>
</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>
The six regular 4D polytopes rotating in 4D.
Inspired by H.S.M Coxeter's book "Regular Polytopes", 3rd Edition,
Dover Publications, Inc., 1973, and Thomas Banchoff's book "Beyond the
Third Dimension: Geometry, Computer Graphics, and Higher Dimensions",
Scientific American Library, 1990.
https://en.wikipedia.org/wiki/Hypercube
https://en.wikipedia.org/wiki/Tesseract
https://en.wikipedia.org/wiki/Regular_polytope
Written by Carsten Steger; 2003.
</_description>
</screensaver>
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