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NAME
     critical - Draw a system showing self-organizing criticality

SYNOPSIS
     critical [-display host:display.screen] [-foreground  color]
     [-background  color]  [-window]  [-root]  [-mono] [-install]
     [-visual  visual]   [-delay   seconds]   [-random   boolean]
     [-ncolors int] [-offset int]

DESCRIPTION
     The critical program  displays  a  self-organizing  critical
     system that gradually emerges from chaos.

     critical performs a simulation on a two-dimensional array of
     integers.   The  array  is initialized to random values.  On
     each iteration, it draws a line to the array  position  with
     the  greatest value.  It then replaces that location and the
     eight neighboring locations with randomly-selected values.

     The lines are initially random,  but  over  time  a  chaotic
     self-organizing  system  evolves:  areas of the screen which
     happen to have lower values are less likely to be updated to
     new  values,  and  so  the  line tends to avoid those areas.
     Eventually, the histogram of changes approaches  the  power-
     law curve typical of such systems.

     The simplest documented self-organizing system is  the  one-
     dimensional equivalent of critical.

     I heard about this algorithm second-hand:  apparently  there
     was an article in Scientific American describing it sometime
     in 1997.

OPTIONS
     critical accepts the following options:

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

     -root   Draw on the root window.

     -mono   If on a color display, pretend we're on a monochrome
             display.

     -install
             Install a private colormap for the window.

     -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.

     -delay usecs
             Number of microseconds to wait  after  drawing  each
             line.

     -random boolean
             Whether to use randomly selected colours rather than
             a cycle around the colour wheel.

     -offset integer
             The maximum random radius increment to use.

     -ncolors integer
             How many colors should be  allocated  in  the  color
             ramp (note that this value interacts with offset.)

     -trail integer
             Length of the trail: between 5 and 100 is nice.

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) xscreensaver-command(1)  xscreensaver-
     demo(1)

COPYRIGHT
     Copyright O 1998 by Martin Pool.

     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 docu-
     mentation.   No representations are made about the suitabil-
     ity of this software for any purpose.  It  is  provided  "as
     is" without express or implied warranty.

AUTHOR
     Martin Pool <[email protected]>, 1998-2000.  Based  in  part
     on the XScreenSaver code by Jamie Zawinski <[email protected]>.

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