polyhedra - draws the 80 uniform polyhedra and their duals
polyhedra [-display host:display.screen] [-visual visual] [-window]
[-root] [-delay number] [-speed float] [-duration seconds] [-no-wander]
[-spin XYZ] [-wireframe] [-no-titles] [-which name] [-wireframe] [-fps]
This program renders 160 different 3D solids, and displays some
information about each. A new solid is chosen every few seconds.
There are 75 uniform polyhedra, plus an inifinite number of prisms and
* Convex Uniform Polyhedra:
* Platonic solids (5)
* Archimedean solids (13)
* Convex prisms and antiprisms (2 infinite families)
* Nonconvex Uniform Polyhedra:
* Kepler-Poinsot polyhedra (4)
* Nonconvex uniform polyhedra (53)
* Nonconvex prisms, antiprisms, and crossed antiprisms
(3 infinite families)
Representative samples of the prism sets brings the total to 80 solids.
Including the dual of each brings the total up to 160. (To create the
"dual" of a polyhedron, faces are replaced with vertices, and vertices
Specify which visual to use. Legal values are the name of a
visual class, or the id number (decimal or hex) of a specific
-window Draw on a newly-created window. This is the default.
-root Draw on the root window.
Per-frame delay, in microseconds. Default: 30000 (0.03
Larger numbers mean run faster. Default: 1.0.
How long before switching to a new polyhedron. Default 12
-wander | -no-wander
Whether the objects should wander around the screen.
-spin [XYZ] | -no-spin
Which axes, if any, to spin around on.
-titles | -no-titles
Whether to display text describing each object.
Display only one particular object, identified by number, name,
or Whthoff symbol.
-wireframe | -no-wireframe
Render in wireframe instead of solid.
-fps Display the current frame rate, CPU load, and polygon count.
When running in a window, you can rotate the object with the mouse.
Also, the following keystrokes are defined:
SPC or TAB Select a new polyhedron at random.
+ or > Select the next-higher-numbered polyhedron.
- or < Select the next-lower-numbered polyhedron.
ESC or ^C Quit.
DISPLAY to get the default host and display number.
to get the name of a resource file that overrides the global
resources stored in the RESOURCE_MANAGER property.
Copyright © 1991-2002 Dr. Zvi Har'El.
Copyright © 2004 Jamie Zawinski. Permission to use, copy, modify,
distribute, and sell this software and its documentation for any
purpose is hereby granted without fee, provided that the above
copyright notice appear in all copies and that both that copyright
notice and this permission notice appear in supporting documentation.
No representations are made about the suitability of this software for
any purpose. It is provided "as is" without express or implied
Based on the program kaleido ("Kaleidoscopic construction of uniform
polyhedra"), by Dr. Zvi Har'El <email@example.com>
Adapted for OpenGL and XScreenSaver by Jamie Zawinski, 2004.