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polyhedra - draws the 80 uniform polyhedra and their duals

polyhedra[-displayhost:display.screen] [-visualvisual] [-window] [-root] [-delaynumber] [-speedfloat] [-durationseconds] [-no-wander] [-spinXYZ] [-wireframe] [-no-titles] [-whichname] [-fps]

This program renders 160 different 3D solids, and displays some infor- mation about each. A new solid is chosen every few seconds. There are 75 uniform polyhedra, plus an inifinite number of prisms and antiprisms: * 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 thedualof each brings the total up to 160. (To create the "dual" of a polyhedron, faces are replaced with vertices, and vertices with faces.)

-visualvisualSpecify which visual to use. Legal values are the name of a visual class, or the id number (decimal or hex) of a specific visual.-windowDraw on a newly-created window. This is the default.-rootDraw on the root window.-delaynumberPer-frame delay, in microseconds. Default: 30000 (0.03 sec- onds.).-speednumberLarger numbers mean run faster. Default: 1.0.-durationsecondsHow long before switching to a new polyhedron. Default 12 sec- onds.-wander|-no-wanderWhether the objects should wander around the screen.-spin[XYZ]|-no-spinWhich axes, if any, to spin around on.-titles|-no-titlesWhether to display text describing each object.-whichobject-nameDisplay only one particular object, identified by number, name, or Whthoff symbol.-wireframe|-no-wireframeRender in wireframe instead of solid.-fps|-no-fpsWhether to show a frames-per-second display at the bottom of the screen.

When running in a window, you can rotate the object with the mouse. Also, the following keystrokes are defined:SPCorTABSelect a new polyhedron at random.+or>Select the next-higher-numbered polyhedron.-or<Select the next-lower-numbered polyhedron.ESCor^CQuit.

DISPLAYto get the default host and display number.XENVIRONMENTto get the name of a resource file that overrides the global resources stored in the RESOURCE_MANAGER property.

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Copyright © 1991-2002 Dr. Zvi Har’El. Copyright © 2004 Jamie Zawinski. Permission to use, copy, modify, dis- tribute, 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 per- mission 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 warranty.

Based on the programkaleido("Kaleidoscopic construction of uniform polyhedra"), by Dr. Zvi Har’El <rl@math.technion.ac.il> http://www.math.technion.ac.il/~rl/ ftp://ftp.math.technion.ac.il/kaleido/ Adapted for OpenGL and XScreenSaver by Jamie Zawinski, 2004. X Version 11XScreenSaver(1)

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