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epicycle(6)		      XScreenSaver manual		   epicycle(6)

NAME
       epicycle	 -  draws  a point moving around a circle which	moves around a
       cicle which...

SYNOPSIS
       epicycle	[--display  host:display.screen]  [--root]  [--window-id  num-
       ber][--window]	[--mono]   [--install]	[--noinstall]  [--visual  viz]
       [--colors N] [--foreground name]	[--color-shift N]  [--delay  microsec-
       onds]   [--holdtime   seconds]	[--linewidth   N]   [--min_circles  N]
       [--max_circles N] [--min_speed number] [--max_speed number]  [--harmon-
       ics N] [--timestep number] [--divisor_poisson probability] [--size_fac-
       tor_min number] [--size_factor_max number] [--fps]

DESCRIPTION
       The  epicycle  program draws the	path traced out	by a point on the edge
       of a circle.  That circle rotates around	a point	on the rim of  another
       circle,	and  so	 on, several times.  The random	curves produced	can be
       simple or complex, convex or concave, but they are always closed	curves
       (they never go in indefinitely).

       You can configure both the way the curves are  drawn  and  the  way  in
       which the random	sequence of circles is generated, either with command-
       line options or X resources.

OPTIONS
       --display host:display.screen
	       Specifies  which	 X display we should use (see the section DIS-
	       PLAY NAMES in X(1) for more information about this option).

       --root  Draw on the root	window.

       --window-id number
	       Draw on the specified window.

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

       --mono  If on a color display, pretend we're on a  monochrome  display.
	       If we're	on a mono display, we have no choice.

       --install
	       Install a private colormap for the window.

       --noinstall
	       Don't install a private colormap	for the	window.

       --visual	viz
	       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.	Possible choices include

	       default,	best, mono, monochrome,	gray, grey, color, staticgray,
	       staticcolor,  truecolor,	grayscale, greyscale, pseudocolor, di-
	       rectcolor, number

	       If a decimal or hexadecimal number is used,  XGetVisualInfo(3X)
	       is consulted to obtain the required visual.

       --colors	N
	       How  many  colors should	be used	(if possible).	The colors are
	       chosen randomly.

       --foreground name
	       With --mono, this option	selects	the foreground colour.

       --delay microseconds
	       Specifies the delay between drawing successive line segments of
	       the path.   If you do not specify -sync,	 some  X  servers  may
	       batch  up several drawing operations together, producing	a less
	       smooth effect.	This is	more likely to	happen	in  monochrome
	       mode (on	monochrome servers or when --mono is specified).

       --holdtime seconds
	       When  the  figure  is  complete,	epicycle pauses	this number of
	       seconds.

       --linewidth N
	       Width in	 pixels	 of  the  body's  track.    Specifying	values
	       greater	than one may cause slower drawing.   The fastest value
	       is usually zero,	meaning	one pixel.

       --min_circles N
	       Smallest	number of epicycles in the figure.

       --max_circles N
	       Largest number of epicycles in the figure.

       --min_speed number
	       Smallest	possible value for the base speed of revolution	of the
	       epicycles.  The actual speeds of	the epicycles vary  from  this
	       down to min_speed / harmonics.

       --max_speed number
	       Smallest	possible value for the base speed of revolution	of the
	       epicycles.

       --harmonics N
	       Number  of  possible  harmonics;	 the larger this value is, the
	       greater the possible variety of possible	speeds of epicycle.

       --timestep number
	       Decreasing this value will reduce the distance the  body	 moves
	       for  each  line	segment, possibly producing a smoother figure.
	       Increasing it may produce faster	results.

       --divisor_poisson probability
	       Each epicycle rotates at	a rate which is	a factor of  the  base
	       speed.  The speed of each epicycle is the base speed divided by
	       some integer between 1 and the value of the --harmonics option.
	       This  integer  is decided by starting at	1 and tossing a	biased
	       coin.  For each consecutive head, the value is  incremented  by
	       one.   The  integer  will not be	incremented above the value of
	       the --harmonics option.	The argument of	 this  option  decides
	       the bias	of the coin; it	is the probability that	that coin will
	       produce a head at any given toss.

       --size_factor_min number
	       Epicycles  are  always  at least	this factor smaller than their
	       parents.

       --size_factor_max number
	       Epicycles are never more	than this factor  smaller  than	 their
	       parents.

       --fps   Display the current frame rate and CPU load.  --timestep	option
	       multiplied  by  the timestepCoarseFactor	resource.  The default
	       value of	1 will almost always work fast enough and so this  re-
	       source is not available as a command-line option.

USER INTERFACE
       The  program runs mostly	without	user interaction.  When	running	on the
       root window, no input is	accepted.  When	running	in its own window, the
       program will exit if mouse button 3 is pressed.	 If  any  other	 mouse
       button  is  pressed,  the  current figure will be abandoned and another
       will be started.

HISTORY
       The geometry of epicycles was perfected by Hipparchus of	Rhodes at some
       time around 125 B.C., 185 years	after  the  birth  of  Aristarchus  of
       Samos, the inventor of the heliocentric universe	model.	Hipparchus ap-
       plied epicycles to the Sun and the Moon.	 Ptolemy of Alexandria went on
       to  apply  them to what was then	the known universe, at around 150 A.D.
       Copernicus went on to apply them	to the heliocentric model at  the  be-
       ginning	of the sixteenth century.  Johannes Kepler discovered that the
       planets actually	move in	elliptical orbits in about 1602.  The inverse-
       square law of gravity was suggested by Boulliau in  1645.   Isaac  New-
       ton's  Principia	Mathematica was	published in 1687, and proved that Ke-
       pler's laws derived from	Newtonian gravitation.

BUGS
       The colour selection is re-done for every figure.   This	 may  generate
       too  much  network  traffic  for	this program to	work well over slow or
       long links.

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  (C)  1998, James Youngman.  Permission to use, copy, modify,
       distribute, and sell this software and its documentation	for  any  pur-
       pose  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	repre-
       sentations are made about the suitability of this software for any pur-
       pose.  It is provided "as is" without express or	implied	warranty.

AUTHOR
       James Youngman <jay@gnu.org>, April 1998.

X Version 11		      6.09 (07-Jun-2024)		   epicycle(6)

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