NAME

       polyhedra - draws the 80 uniform polyhedra and their duals

SYNOPSIS

SYNOPSIS

       polyhedra   [--display   host:display.screen]   [--visual   visual]   [--window]  [--root]
       [--window-id number] [--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.

       --window-id number
               Draw on the specified 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   Display the current frame rate, CPU load, and polygon count.

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.

       XSCREENSAVER_WINDOW
               The window ID to use with --root.

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>
       https://web.archive.org/web/20040807023850/https%3A//www.math.technion.ac.il/kaleido/

       Adapted for OpenGL and XScreenSaver by Jamie Zawinski, 2004.