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The program lim draws the orbits of circles
under the action of a group of Mobius transformations.
Usage:
lim [options]
-a [agree] circles are regarded the same if center
and radius differ by less than epsilon/agree.
-b put box around image
-c [c.x c.y r] clipping circle
-d [depth] - generations
-e [epsilon] - radius of circles to ignore
-h [huge-radius] huge cutoff radius
-l [linewidth] - in 1/72nd of inch
-m [maximum] number of circles to draw
-q quiet
-s plot on sphere
-t [gray] make sphere transparent. Circles
on the back colored gray (0-1.0).
-w [xmin ymin xmax ymax] window
< data.file
> postscript.file
Entries in the data.file are of the following forms:
c center-x center-y radius
for circle in the limit set
r center-x center-y radius
for reflection in the group
m ax ay bx by cx cy dx dy
for mobius transformation in the group
t ax ay bx by cx cy dx dy
for mobius transformation to be applied
to the coordinate system
u cx cy r
for reflection in a circle to be applied
to the coordinate system