/usr/share/xscreensaver/config/polyhedra.xml is in xscreensaver-gl 5.34-2ubuntu1.
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="polyhedra" _label="Polyhedra" gl="yes">
<command arg="-root"/>
<video href="http://www.youtube.com/watch?v=gYb-3EErLJE"/>
<number id="delay" type="slider" arg="-delay %"
_label="Frame rate" _low-label="Low" _high-label="High"
low="0" high="100000" default="30000"
convert="invert"/>
<number id="speed" type="slider" arg="-speed %"
_label="Speed" _low-label="Slow" _high-label="Fast"
low="0.01" high="5.0" default="1.0"/>
<number id="duration" type="slider" arg="-duration %"
_label="Duration" _low-label="1 second" _high-label="30 seconds"
low="1" high="30" default="12"/>
<select id="object">
<option id="random" _label="Display random polyhedron"/>
<option _label="Pentagonal prism" arg-set="-which pentagonal_prism"/>
<option _label="Pentagonal dipyramid" arg-set="-which pentagonal_dipyramid"/>
<option _label="Pentagonal antiprism" arg-set="-which pentagonal_antiprism"/>
<option _label="Pentagonal deltohedron" arg-set="-which pentagonal_deltohedron"/>
<option _label="Pentagrammic prism" arg-set="-which pentagrammic_prism"/>
<option _label="Pentagrammic dipyramid" arg-set="-which pentagrammic_dipyramid"/>
<option _label="Pentagrammic antiprism" arg-set="-which pentagrammic_antiprism"/>
<option _label="Pentagrammic deltohedron" arg-set="-which pentagrammic_deltohedron"/>
<option _label="Pentagrammic crossed antiprism" arg-set="-which pentagrammic_crossed_antiprism"/>
<option _label="Pentagrammic concave deltohedron" arg-set="-which pentagrammic_concave_deltohedron"/>
<option _label="Tetrahedron" arg-set="-which tetrahedron"/>
<option _label="Truncated tetrahedron" arg-set="-which truncated_tetrahedron"/>
<option _label="Triakistetrahedron" arg-set="-which triakistetrahedron"/>
<option _label="Octahemioctahedron" arg-set="-which octahemioctahedron"/>
<option _label="Octahemioctacron" arg-set="-which octahemioctacron"/>
<option _label="Tetrahemihexahedron" arg-set="-which tetrahemihexahedron"/>
<option _label="Tetrahemihexacron" arg-set="-which tetrahemihexacron"/>
<option _label="Octahedron" arg-set="-which octahedron"/>
<option _label="Cube" arg-set="-which cube"/>
<option _label="Cuboctahedron" arg-set="-which cuboctahedron"/>
<option _label="Rhombic dodecahedron" arg-set="-which rhombic_dodecahedron"/>
<option _label="Truncated octahedron" arg-set="-which truncated_octahedron"/>
<option _label="Tetrakishexahedron" arg-set="-which tetrakishexahedron"/>
<option _label="Truncated cube" arg-set="-which truncated_cube"/>
<option _label="Triakisoctahedron" arg-set="-which triakisoctahedron"/>
<option _label="Rhombicuboctahedron" arg-set="-which rhombicuboctahedron"/>
<option _label="Deltoidal icositetrahedron" arg-set="-which deltoidal_icositetrahedron"/>
<option _label="Truncated cuboctahedron" arg-set="-which truncated_cuboctahedron"/>
<option _label="Disdyakisdodecahedron" arg-set="-which disdyakisdodecahedron"/>
<option _label="Snub cube" arg-set="-which snub_cube"/>
<option _label="Pentagonal icositetrahedron" arg-set="-which pentagonal_icositetrahedron"/>
<option _label="Small cubicuboctahedron" arg-set="-which small_cubicuboctahedron"/>
<option _label="Small hexacronic icositetrahedron" arg-set="-which small_hexacronic_icositetrahedron"/>
<option _label="Great cubicuboctahedron" arg-set="-which great_cubicuboctahedron"/>
<option _label="Great hexacronic icositetrahedron" arg-set="-which great_hexacronic_icositetrahedron"/>
<option _label="Cubohemioctahedron" arg-set="-which cubohemioctahedron"/>
<option _label="Hexahemioctacron" arg-set="-which hexahemioctacron"/>
<option _label="Cubitruncated cuboctahedron" arg-set="-which cubitruncated_cuboctahedron"/>
<option _label="Tetradyakishexahedron" arg-set="-which tetradyakishexahedron"/>
<option _label="Great rhombicuboctahedron" arg-set="-which great_rhombicuboctahedron"/>
<option _label="Great deltoidal icositetrahedron" arg-set="-which great_deltoidal_icositetrahedron"/>
<option _label="Small rhombihexahedron" arg-set="-which small_rhombihexahedron"/>
<option _label="Small rhombihexacron" arg-set="-which small_rhombihexacron"/>
<option _label="Stellated truncated hexahedron" arg-set="-which stellated_truncated_hexahedron"/>
<option _label="Great triakisoctahedron" arg-set="-which great_triakisoctahedron"/>
<option _label="Great truncated cuboctahedron" arg-set="-which great_truncated_cuboctahedron"/>
<option _label="Great disdyakisdodecahedron" arg-set="-which great_disdyakisdodecahedron"/>
<option _label="Great rhombihexahedron" arg-set="-which great_rhombihexahedron"/>
<option _label="Great rhombihexacron" arg-set="-which great_rhombihexacron"/>
<option _label="Icosahedron" arg-set="-which icosahedron"/>
<option _label="Dodecahedron" arg-set="-which dodecahedron"/>
<option _label="Icosidodecahedron" arg-set="-which icosidodecahedron"/>
<option _label="Rhombic triacontahedron" arg-set="-which rhombic_triacontahedron"/>
<option _label="Truncated icosahedron" arg-set="-which truncated_icosahedron"/>
<option _label="Pentakisdodecahedron" arg-set="-which pentakisdodecahedron"/>
<option _label="Truncated dodecahedron" arg-set="-which truncated_dodecahedron"/>
<option _label="Triakisicosahedron" arg-set="-which triakisicosahedron"/>
<option _label="Rhombicosidodecahedron" arg-set="-which rhombicosidodecahedron"/>
<option _label="Deltoidal hexecontahedron" arg-set="-which deltoidal_hexecontahedron"/>
<option _label="Truncated icosidodecahedron" arg-set="-which truncated_icosidodecahedron"/>
<option _label="Disdyakistriacontahedron" arg-set="-which disdyakistriacontahedron"/>
<option _label="Snub dodecahedron" arg-set="-which snub_dodecahedron"/>
<option _label="Pentagonal hexecontahedron" arg-set="-which pentagonal_hexecontahedron"/>
<option _label="Small ditrigonal icosidodecahedron" arg-set="-which small_ditrigonal_icosidodecahedron"/>
<option _label="Small triambic icosahedron" arg-set="-which small_triambic_icosahedron"/>
<option _label="Small icosicosidodecahedron" arg-set="-which small_icosicosidodecahedron"/>
<option _label="Small icosacronic hexecontahedron" arg-set="-which small_icosacronic_hexecontahedron"/>
<option _label="Small snub icosicosidodecahedron" arg-set="-which small_snub_icosicosidodecahedron"/>
<option _label="Small hexagonal hexecontahedron" arg-set="-which small_hexagonal_hexecontahedron"/>
<option _label="Small dodecicosidodecahedron" arg-set="-which small_dodecicosidodecahedron"/>
<option _label="Small dodecacronic hexecontahedron" arg-set="-which small_dodecacronic_hexecontahedron"/>
<option _label="Small stellated dodecahedron" arg-set="-which small_stellated_dodecahedron"/>
<option _label="Great dodecahedron" arg-set="-which great_dodecahedron"/>
<option _label="Great dodecadodecahedron" arg-set="-which great_dodecadodecahedron"/>
<option _label="Medial rhombic triacontahedron" arg-set="-which medial_rhombic_triacontahedron"/>
<option _label="Truncated great dodecahedron" arg-set="-which truncated_great_dodecahedron"/>
<option _label="Small stellapentakisdodecahedron" arg-set="-which small_stellapentakisdodecahedron"/>
<option _label="Rhombidodecadodecahedron" arg-set="-which rhombidodecadodecahedron"/>
<option _label="Medial deltoidal hexecontahedron" arg-set="-which medial_deltoidal_hexecontahedron"/>
<option _label="Small rhombidodecahedron" arg-set="-which small_rhombidodecahedron"/>
<option _label="Small rhombidodecacron" arg-set="-which small_rhombidodecacron"/>
<option _label="Snub dodecadodecahedron" arg-set="-which snub_dodecadodecahedron"/>
<option _label="Medial pentagonal hexecontahedron" arg-set="-which medial_pentagonal_hexecontahedron"/>
<option _label="Ditrigonal dodecadodecahedron" arg-set="-which ditrigonal_dodecadodecahedron"/>
<option _label="Medial triambic icosahedron" arg-set="-which medial_triambic_icosahedron"/>
<option _label="Great ditrigonal dodecicosidodecahedron" arg-set="-which great_ditrigonal_dodecicosidodecahedron"/>
<option _label="Great ditrigonal dodecacronic hexecontahedron" arg-set="-which great_ditrigonal_dodecacronic_hexecontahedron"/>
<option _label="Small ditrigonal dodecicosidodecahedron" arg-set="-which small_ditrigonal_dodecicosidodecahedron"/>
<option _label="Small ditrigonal dodecacronic hexecontahedron" arg-set="-which small_ditrigonal_dodecacronic_hexecontahedron"/>
<option _label="Icosidodecadodecahedron" arg-set="-which icosidodecadodecahedron"/>
<option _label="Medial icosacronic hexecontahedron" arg-set="-which medial_icosacronic_hexecontahedron"/>
<option _label="Icositruncated dodecadodecahedron" arg-set="-which icositruncated_dodecadodecahedron"/>
<option _label="Tridyakisicosahedron" arg-set="-which tridyakisicosahedron"/>
<option _label="Snub icosidodecadodecahedron" arg-set="-which snub_icosidodecadodecahedron"/>
<option _label="Medial hexagonal hexecontahedron" arg-set="-which medial_hexagonal_hexecontahedron"/>
<option _label="Great ditrigonal icosidodecahedron" arg-set="-which great_ditrigonal_icosidodecahedron"/>
<option _label="Great triambic icosahedron" arg-set="-which great_triambic_icosahedron"/>
<option _label="Great icosicosidodecahedron" arg-set="-which great_icosicosidodecahedron"/>
<option _label="Great icosacronic hexecontahedron" arg-set="-which great_icosacronic_hexecontahedron"/>
<option _label="Small icosihemidodecahedron" arg-set="-which small_icosihemidodecahedron"/>
<option _label="Small icosihemidodecacron" arg-set="-which small_icosihemidodecacron"/>
<option _label="Small dodecicosahedron" arg-set="-which small_dodecicosahedron"/>
<option _label="Small dodecicosacron" arg-set="-which small_dodecicosacron"/>
<option _label="Small dodecahemidodecahedron" arg-set="-which small_dodecahemidodecahedron"/>
<option _label="Small dodecahemidodecacron" arg-set="-which small_dodecahemidodecacron"/>
<option _label="Great stellated dodecahedron" arg-set="-which great_stellated_dodecahedron"/>
<option _label="Great icosahedron" arg-set="-which great_icosahedron"/>
<option _label="Great icosidodecahedron" arg-set="-which great_icosidodecahedron"/>
<option _label="Great rhombic triacontahedron" arg-set="-which great_rhombic_triacontahedron"/>
<option _label="Great truncated icosahedron" arg-set="-which great_truncated_icosahedron"/>
<option _label="Great stellapentakisdodecahedron" arg-set="-which great_stellapentakisdodecahedron"/>
<option _label="Rhombicosahedron" arg-set="-which rhombicosahedron"/>
<option _label="Rhombicosacron" arg-set="-which rhombicosacron"/>
<option _label="Great snub icosidodecahedron" arg-set="-which great_snub_icosidodecahedron"/>
<option _label="Great pentagonal hexecontahedron" arg-set="-which great_pentagonal_hexecontahedron"/>
<option _label="Small stellated truncated dodecahedron" arg-set="-which small_stellated_truncated_dodecahedron"/>
<option _label="Great pentakisdodekahedron" arg-set="-which great_pentakisdodekahedron"/>
<option _label="Truncated dodecadodecahedron" arg-set="-which truncated_dodecadodecahedron"/>
<option _label="Medial disdyakistriacontahedron" arg-set="-which medial_disdyakistriacontahedron"/>
<option _label="Inverted snub dodecadodecahedron" arg-set="-which inverted_snub_dodecadodecahedron"/>
<option _label="Medial inverted pentagonal hexecontahedron" arg-set="-which medial_inverted_pentagonal_hexecontahedron"/>
<option _label="Great dodecicosidodecahedron" arg-set="-which great_dodecicosidodecahedron"/>
<option _label="Great dodecacronic hexecontahedron" arg-set="-which great_dodecacronic_hexecontahedron"/>
<option _label="Small dodecahemicosahedron" arg-set="-which small_dodecahemicosahedron"/>
<option _label="Small dodecahemicosacron" arg-set="-which small_dodecahemicosacron"/>
<option _label="Great dodecicosahedron" arg-set="-which great_dodecicosahedron"/>
<option _label="Great dodecicosacron" arg-set="-which great_dodecicosacron"/>
<option _label="Great snub dodecicosidodecahedron" arg-set="-which great_snub_dodecicosidodecahedron"/>
<option _label="Great hexagonal hexecontahedron" arg-set="-which great_hexagonal_hexecontahedron"/>
<option _label="Great dodecahemicosahedron" arg-set="-which great_dodecahemicosahedron"/>
<option _label="Great dodecahemicosacron" arg-set="-which great_dodecahemicosacron"/>
<option _label="Great stellated truncated dodecahedron" arg-set="-which great_stellated_truncated_dodecahedron"/>
<option _label="Great triakisicosahedron" arg-set="-which great_triakisicosahedron"/>
<option _label="Great rhombicosidodecahedron" arg-set="-which great_rhombicosidodecahedron"/>
<option _label="Great deltoidal hexecontahedron" arg-set="-which great_deltoidal_hexecontahedron"/>
<option _label="Great truncated icosidodecahedron" arg-set="-which great_truncated_icosidodecahedron"/>
<option _label="Great disdyakistriacontahedron" arg-set="-which great_disdyakistriacontahedron"/>
<option _label="Great inverted snub icosidodecahedron" arg-set="-which great_inverted_snub_icosidodecahedron"/>
<option _label="Great inverted pentagonal hexecontahedron" arg-set="-which great_inverted_pentagonal_hexecontahedron"/>
<option _label="Great dodecahemidodecahedron" arg-set="-which great_dodecahemidodecahedron"/>
<option _label="Great dodecahemidodecacron" arg-set="-which great_dodecahemidodecacron"/>
<option _label="Great icosihemidodecahedron" arg-set="-which great_icosihemidodecahedron"/>
<option _label="Great icosihemidodecacron" arg-set="-which great_icosihemidodecacron"/>
<option _label="Small retrosnub icosicosidodecahedron" arg-set="-which small_retrosnub_icosicosidodecahedron"/>
<option _label="Small hexagrammic hexecontahedron" arg-set="-which small_hexagrammic_hexecontahedron"/>
<option _label="Great rhombidodecahedron" arg-set="-which great_rhombidodecahedron"/>
<option _label="Great rhombidodecacron" arg-set="-which great_rhombidodecacron"/>
<option _label="Great retrosnub icosidodecahedron" arg-set="-which great_retrosnub_icosidodecahedron"/>
<option _label="Great pentagrammic hexecontahedron" arg-set="-which great_pentagrammic_hexecontahedron"/>
<option _label="Great dirhombicosidodecahedron" arg-set="-which great_dirhombicosidodecahedron"/>
<option _label="Great dirhombicosidodecacron" arg-set="-which great_dirhombicosidodecacron"/>
<option _label="Utah teapotahedron" arg-set="-which utah_teapotahedron"/>
</select>
<hgroup>
<boolean id="spin" _label="Spin" arg-unset="-no-spin"/>
<boolean id="wander" _label="Wander" arg-unset="-no-wander"/>
<boolean id="wire" _label="Wireframe" arg-set="-wireframe"/>
</hgroup>
<hgroup>
<boolean id="titles" _label="Show description" arg-unset="-no-titles"/>
<boolean id="showfps" _label="Show frame rate" arg-set="-fps"/>
</hgroup>
<xscreensaver-updater />
<_description>
The 75 uniform polyhedra and their duals, plus 5 prisms
and antiprisms, and some information about each.
https://en.wikipedia.org/wiki/Uniform_polyhedra
https://en.wikipedia.org/wiki/Stellation
https://en.wikipedia.org/wiki/Dual_polyhedron
https://en.wikipedia.org/wiki/Antiprism
Written by Dr. Zvi Har'El and Jamie Zawinski; 2004.
</_description>
</screensaver>
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