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        flow - strange attractors.


        flow  [-display host:display.screen] [-visual visual] [-window] [-root]
        [-count    number]    [-cycles     number]     [-periodic|-no-periodic]
        [-search|-no-search]        [-rotate|-no-rotate]       [-ride|-no-ride]
        [-box|-no-box]  [-dbuf|-no-dbuf]  [-ncolors  number]  [-delay   number]


        Strange  attractors formed of flows in a 3D differential equation phase
        space.  Features the popular attractors described by Lorentz, Roessler,
        Birkhoff  and  Duffing,  and  can  discover  entirely new attractors by


        -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
        -window Draw on a newly-created window.  This is the default.
        -root   Draw on the root window.
        -count number
                Number of particles in the flow.  Default: 3000
        -size number
                Length of particle trails.  Negative  values  indicate  random-
                ness.   The computational load of a given flow depends on (par-
                ticle count) * (trail length).  Default: -10
        -cycles number
                Timeout before changing objects.  0 - 800000.  Default:  10000.
                turn  on/off  periodic attractors.  These are flows in 2 depen-
                dent variables, with a periodic dependence on a third  indepen-
                dent  variable  (eg time).  Flow will sometimes choose to start
                all the particles in the same phase to  illustrate  the  flow's
                cross-section.  Default: on
                turn  on/off  search for new attractors.  If this is enabled, a
                fraction of the computing cycles is  directed  to  searching  a
                60-dimensional  parameter space for new strange attractors.  If
                periodic flows are enabled, these can be searched  too.   Watch
                carefully  -  you  are quite likely to see mathematical objects
                that have never been seen before, and since the parameters  are
                not  recorded,  you'll probably never see them again!  Default:
                turn on/off rotating around attractor.  Default: on
                turn on/off ride in the flow.  Default: on
                If both -rotate and -ride are enabled the viewpoint will  occa-
                sionally fly between the two views.
        -no-box turn on/off bounding box.  Default: on
                turn  on/off  double  buffering.   If  Flow runs slowly in full
                screen, but fast in a smaller window (eg on old graphics  cards
                with too little memory), try turning this option off.  Default:
        -ncolors number
                Number of Colors.  Default: 200.
        -delay number
                Per-frame delay, in microseconds.  Default:  10000  (0.01  sec-
        -fps    Display the current frame rate and CPU load.


        DISPLAY to get the default host and display number.
                to  get  the  name of a resource file that overrides the global
                resources stored in the RESOURCE_MANAGER property.
        X(1), xscreensaver(1)


        Copyright (c) 1996 by Tim Auckland <>  Incorpo-
        rating some code from Stephen Davies Copyright (c) 2000
        Search  code based on techniques described in "Strange Attractors: Cre-
        ating Patterns in Chaos" by Julien C. Sprott
        Permission to use, copy, modify, and distribute this software  and  its
        documentation  for  any purpose and without fee is hereby granted, pro-
        vided that the above copyright notice appear in  all  copies  and  that
        both  that  copyright  notice and this permission notice appear in sup-
        porting documentation.
        This file is provided AS IS with no warranties of any kind.  The author
        shall have no liability with respect to the infringement of copyrights,
        trade secrets or any patents by this file or any part thereof.   In  no
        event  will  the  author  be  liable for any lost revenue or profits or
        other special, indirect and consequential damages.
        Adapted from swarm.c Copyright (c) 1991 by Patrick J. Naughton.
        Adapted from xswarm by Jeff Butterworth. (


        Tim Auckland