1polyhedra(6x) XScreenSaver manual polyhedra(6x)
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6 polyhedra - draws the 80 uniform polyhedra and their duals
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10 polyhedra [-display host:display.screen] [-visual visual] [-window]
11 [-root] [-delay number] [-speed float] [-duration seconds] [-no-wander]
12 [-spin XYZ] [-wireframe] [-no-titles] [-which name] [-wireframe] [-fps]
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15 This program renders 160 different 3D solids, and displays some infor‐
16 mation about each. A new solid is chosen every few seconds.
17 There are 75 uniform polyhedra, plus an inifinite number of prisms and
19 antiprisms:
20 * Convex Uniform Polyhedra:
22 * Platonic solids (5)
23 * Archimedean solids (13)
24 * Convex prisms and antiprisms (2 infinite families)
25 * Nonconvex Uniform Polyhedra:
26 * Kepler-Poinsot polyhedra (4)
27 * Nonconvex uniform polyhedra (53)
28 * Nonconvex prisms, antiprisms, and crossed antiprisms
29 (3 infinite families)
30 Representative samples of the prism sets brings the total to 80 solids.
32 Including the dual of each brings the total up to 160. (To create the
33 "dual" of a polyhedron, faces are replaced with vertices, and vertices
34 with faces.)
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37 -visual visual
38 Specify which visual to use. Legal values are the name of a
39 visual class, or the id number (decimal or hex) of a specific
40 visual.
41 -window Draw on a newly-created window. This is the default.
43 -root Draw on the root window.
45 -delay number
47 Per-frame delay, in microseconds. Default: 30000 (0.03 sec‐
48 onds.).
49 -speed number
51 Larger numbers mean run faster. Default: 1.0.
52 -duration seconds
54 How long before switching to a new polyhedron. Default 12 sec‐
55 onds.
56 -wander | -no-wander
58 Whether the objects should wander around the screen.
59 -spin [XYZ] | -no-spin
61 Which axes, if any, to spin around on.
62 -titles | -no-titles
64 Whether to display text describing each object.
65 -which object-name
67 Display only one particular object, identified by number, name,
68 or Whthoff symbol.
69 -wireframe | -no-wireframe
71 Render in wireframe instead of solid.
72 -fps | -no-fps
74 Whether to show a frames-per-second display at the bottom of
75 the screen.
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78 When running in a window, you can rotate the object with the mouse.
79 Also, the following keystrokes are defined:
80 SPC or TAB Select a new polyhedron at random.
82 + or > Select the next-higher-numbered polyhedron.
84 - or < Select the next-lower-numbered polyhedron.
86 ESC or ^C Quit.
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90 DISPLAY to get the default host and display number.
91 XENVIRONMENT
93 to get the name of a resource file that overrides the global
94 resources stored in the RESOURCE_MANAGER property.
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97 X(1), xscreensaver(1)
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100 Copyright © 1991-2002 Dr. Zvi Har'El.
101 Copyright © 2004 Jamie Zawinski. Permission to use, copy, modify, dis‐
103 tribute, and sell this software and its documentation for any purpose
104 is hereby granted without fee, provided that the above copyright notice
105 appear in all copies and that both that copyright notice and this per‐
106 mission notice appear in supporting documentation. No representations
107 are made about the suitability of this software for any purpose. It is
108 provided "as is" without express or implied warranty.
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111 Based on the program kaleido ("Kaleidoscopic construction of uniform
112 polyhedra"), by Dr. Zvi Har'El <rl@math.technion.ac.il>
113 http://www.math.technion.ac.il/~rl/
114 ftp://ftp.math.technion.ac.il/kaleido/
115 Adapted for OpenGL and XScreenSaver by Jamie Zawinski, 2004.
117X Version 11 5.05-3 (06-Apr-2008) polyhedra(6x)