File:Kleinian group limit set on sphere.svg
Original file (SVG file, nominally 700 × 700 pixels, file size: 11.19 MB)
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Summary[edit]
DescriptionKleinian group limit set on sphere.svg |
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 |
|
Licensing[edit]
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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
conversion from ps to png file :
pstopnm -xborder=0 -yborder=0 -xsize=1000 -ysize=1000 cusp.ps
pnmtopng cusp001.ppm >cuspb.png
From png to svg using Image Magic
convert cusp.png cusp.svg
Optimisation using svgo
references[edit]
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 19:14, 24 February 2020 | 700 × 700 (11.19 MB) | Mrmw (talk | contribs) | cropped | |
18:15, 13 September 2017 | 793 × 1,123 (9.22 MB) | Soul windsurfer (talk | contribs) | User created page with UploadWizard |
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Width | 700 |
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Height | 700 |