/usr/share/xscreensaver/config/surfaces.xml is in xscreensaver-gl-extra 5.15-3ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 | <?xml version="1.0" encoding="ISO-8859-1"?>
<screensaver name="surfaces" _label="Surfaces">
<command arg="-root"/>
<number id="delay" type="slider" arg="-delay %"
_label="Frame rate" _low-label="Low" _high-label="High"
low="0" high="100000" default="20000"
convert="invert"/>
<number id="descent" type="slider" arg="-speed %"
_label="Duration" _low-label="Short" _high-label="Long"
low="2" high="2000" default="300"
convert="invert"/>
<hgroup>
<select id="surface">
<option id="random" _label="Random Surface"/>
<option id="dini" _label="Dini's Surface" arg-set="-surface dini"/>
<option id="enneper" _label="Enneper's Surface" arg-set="-surface enneper"/>
<option id="kuen" _label="Kuen Surface" arg-set="-surface kuen"/>
<option id="moebius" _label="Moebius Strip" arg-set="-surface moebius"/>
<option id="seashell" _label="Seashell" arg-set="-surface seashell"/>
<option id="swallow" _label="Swallowtail" arg-set="-surface swallowtail"/>
<option id="bohemian" _label="Bohemian Dome" arg-set="-surface bohemian"/>
<option id="whitney" _label="Whitney Umbrella" arg-set="-surface whitney"/>
<option id="pluecker" _label="Pluecker's Conoid" arg-set="-surface pluecker"/>
<option id="henneberg" _label="Henneberg's Surface" arg-set="-surface henneberg"/>
<option id="catalan" _label="Catalan's Surface" arg-set="-surface catalan"/>
<option id="corkscrew" _label="Corkscrew Surface" arg-set="-surface corkscrew"/>
</select>
<select id="mode">
<option id="random" _label="Random Display Mode"/>
<option id="points" _label="Points" arg-set="-mode points"/>
<option id="lines" _label="Lines" arg-set="-mode lines"/>
<option id="line_loop" _label="Line Loops" arg-set="-mode line-loops"/>
</select>
</hgroup>
<hgroup>
<boolean id="wander" _label="Wander" arg-set="-wander"/>
<boolean id="spin" _label="Spin" arg-unset="-no-spin"/>
<boolean id="showfps" _label="Show frame rate" arg-set="-fps"/>
</hgroup>
<_description>
This draws a visualization of several interesting parametric surfaces.
http://mathworld.wolfram.com/DinisSurface.html
http://en.wikipedia.org/wiki/Enneper_surface
http://mathworld.wolfram.com/EnnepersMinimalSurface.html
http://mathworld.wolfram.com/KuenSurface.html
http://en.wikipedia.org/wiki/Moebius_strip
http://mathworld.wolfram.com/Seashell.html
http://mathworld.wolfram.com/SwallowtailCatastrophe.html
http://mathworld.wolfram.com/BohemianDome.html
http://en.wikipedia.org/wiki/Whitney_umbrella
http://mathworld.wolfram.com/PlueckersConoid.html
http://mathworld.wolfram.com/HennebergsMinimalSurface.html
http://mathworld.wolfram.com/CatalansSurface.html
http://mathworld.wolfram.com/CorkscrewSurface.html
Written by Andrey Mirtchovski and Carsten Steger; 2003.
</_description>
</screensaver>
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