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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] [-wireframe] [-fps]

DESCRIPTION

       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
       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
               seconds.).

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

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

       -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,
       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
       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.