File:Kleinian group limit set on sphere.png
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[edit]DescriptionKleinian group limit set on sphere.png |
English: Kleinian group limit set on sphere |
Date | |
Source | Made with program Lim Version 2.2[1] by Curtis T McMullen |
Author | Adam majewski |
Other versions |
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File:Kleinian group limit set on sphere.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
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[edit]I, the copyright holder of this work, hereby publish it under the following license:
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bash src code
[edit]Part of readme file
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
# cusp.run file from Lim Version 2.2 by Copyright (c) 2001 Curtis T McMullen
#
# Classic maskit boundary picture: on sphere
#
# mu=1.91I 0.05
#
./lim -s -d 60 -e 0.0001 <<eof > cusp.ps
c 0. 0. 1
m 1 1 0 1 0 -1 1 -1
m 1 -1 0 -1 0 1 1 1
m 0.955 -0.025 0.045 0.025 -1.955 0.025 0.955 -0.025
m 0.955 -0.025 -0.045 -0.025 1.955 -0.025 0.955 -0.025
eof
converion from ps to png file :
pstopnm -xborder=0 -yborder=0 -xsize=1000 -ysize=1000 cusp.ps
pnmtopng cusp001.ppm >cuspb.png
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:40, 5 September 2017 | 1,000 × 1,000 (20 KB) | Soul windsurfer (talk | contribs) | User created page with UploadWizard |
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