polyhedra



XScreenSaver(1)                                                XScreenSaver(1)




NAME

       polyhedra - draws the 80 uniform polyhedra and their duals


SYNOPSIS


SYNOPSIS

       polyhedra  [-display  host:display.screen]  [-visual  visual] [-window]
       [-root] [-delay number] [-speed float] [-duration seconds] [-no-wander]
       [-spin XYZ] [-wireframe] [-no-titles] [-which name] [-fps]


DESCRIPTION

       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 the dual of each brings the total up to 160.  (To create  the
       "dual"  of a polyhedron, faces are replaced with vertices, and vertices
       with faces.)


OPTIONS

       -visual visual
               Specify which visual to use.  Legal values are the  name  of  a
               visual  class,  or the id number (decimal or hex) of a specific
               visual.

       -window Draw on a newly-created window.  This is the default.

       -root   Draw on the root window.

       -delay number
               Per-frame delay, in microseconds.  Default:  30000  (0.03  sec-
               onds.).

       -speed number
               Larger numbers mean run faster.  Default: 1.0.

       -duration seconds
               How long before switching to a new polyhedron.  Default 12 sec-
               onds.

       -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.

       -which object-name
               Display only one particular object, identified by number, name,
               or Whthoff symbol.

       -wireframe | -no-wireframe
               Render in wireframe instead of solid.

       -fps | -no-fps
               Whether  to  show  a frames-per-second display at the bottom of
               the screen.


KEY BINDINGS

       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.


ENVIRONMENT

       DISPLAY to get the default host and display number.

       XENVIRONMENT
               to  get  the  name of a resource file that overrides the global
               resources stored in the RESOURCE_MANAGER property.


SEE ALSO

       X(1), xscreensaver(1)


COPYRIGHT

       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.


AUTHOR

       Based on the program kaleido ("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 11                                                   XScreenSaver(1)

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