File:Hyperbolic rotation.gif
Hyperbolic_rotation.gif (512 × 512 pixels, file size: 24 KB, MIME type: image/gif, looped, 18 frames, 4.0 s)
| This is a file from the Wikimedia Commons. The description on its description page there is shown below.
|
Summary
| DescriptionHyperbolic rotation.gif | Hyperbolic sectors of equal area are permuted by hyperbolic rotation to 10 positions. This animated GIF was requested at http://en.wikipedia.org/w/index.php?title=Wikipedia:Graphics_Lab/Illustration_workshop&diff=prev&oldid=1299170533 . |
| Source | Own work |
| Author | Cmglee |
Python source code
#!/usr/bin/env python
PATH_INKSCAPE = r'C:\APP\inkscape122\bin\inkscape.exe'
DIR_OUT = r'F:\gif'
WIDTH_OUT = 512
SCALE = 100
N_FRAME = 10
FORMAT_SVG = '''\
<?xml version="1.0"?>
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="-10 -290 300 300">
<circle r="999" fill="#fff"/>
<g fill="none" stroke="#000">
<path id="axis" d="M -9,0 H 288 m -7,-4 l 7,4 l -7,4"/>
<use xlink:href="#axis" transform="matrix(0,-1 1,0 0,0)"/>
<path d="{out_d}" fill="#fc0"/>
<path d="M 5,-2000 Q 0,-360 50,-200 C 70,-114 114,-70 200,-50 Q 360,0 2000,-5" fill="#fff"/>
</g>
</svg>
'''
import re, math, subprocess
def system(command, cwd='./', is_verbose=False):
if is_verbose: print('%s %s' % (cwd, command))
return subprocess.Popen(command, stdout=subprocess.PIPE, cwd=cwd,
shell=True).communicate()[0].decode('utf-8')
def fmt(string): ## string.format(**vars()) using tags {expression!format} by CMG Lee
def f(tag): i_sep = tag.rfind('!'); return (re.sub('\.0$', '', str(eval(tag[1:-1])))
if (i_sep < 0) else ('{:%s}' % tag[i_sep + 1:-1]).format(eval(tag[1:i_sep])))
return (re.sub(r'(?<!{){[^{}]+}', lambda m:f(m.group()), string)
.replace('{{', '{').replace('}}', '}'))
path_prefix = r'%s\%s' % (DIR_OUT, os.path.basename(os.path.splitext(__file__)[0]))
for n in range(N_FRAME):
a = math.exp(n / 5.0 - 1)
b = math.exp(n / 5.0 - 0.8)
out_d = 'M %.0f,%.0f L 0,0 L %.0f,%.0f' % (SCALE * a, -SCALE / a,
SCALE * b, -SCALE / b)
path_svg = '%s%02d.svg' % (path_prefix, n)
path_png = '%s%02d.png' % (path_prefix, n)
with open(path_svg, 'w') as f: f.write(fmt(FORMAT_SVG))
system('%s -o %s -w %d %s' % (PATH_INKSCAPE, path_png, WIDTH_OUT, path_svg), is_verbose=True)
for n in range(1, N_FRAME - 1):
path_svg = '%s%02d.svg' % (path_prefix, n)
path_png = '%s%02d.png' % (path_prefix, N_FRAME * 2 - 2 - n)
system('%s -o %s -w %d %s' % (PATH_INKSCAPE, path_png, WIDTH_OUT, path_svg), is_verbose=True)
## Then drag PNGs into http://ezgif.com/maker and then Optimize at Compression
## level: 200, Eliminate local color tables, Reduce the number of colors to 4
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- 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.
| Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
You may select the license of your choice.
Captions
Hyperbolic sectors of equal area are permuted by hyperbolic rotation to 10 positions.
Items portrayed in this file
depicts
24,189 byte
512 pixel
512 pixel
image/gif
3ad6c4011c067ca64552035d08f3c366f5dc4333
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 08:04, 19 July 2025 | 512 × 512 (24 KB) | Cmglee | Linger on end stops |
File usage
The following page uses this file:
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
| GIF file comment | GIF compressed with https://ezgif.com/optimize |
|---|
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