https://github.com/timhutton/mobius-transforms

Exploring Möbius transformations and implementing the book Indra's Pearls
https://github.com/timhutton/mobius-transforms

geometry maths

Last synced: 6 months ago
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Exploring Möbius transformations and implementing the book Indra's Pearls

• Host: GitHub
• URL: https://github.com/timhutton/mobius-transforms
• Owner: timhutton
• License: gpl-3.0
• Created: 2016-01-11T19:57:02.000Z (over 10 years ago)
• Default Branch: gh-pages
• Last Pushed: 2024-04-22T15:44:40.000Z (about 2 years ago)
• Last Synced: 2025-01-22T00:24:27.565Z (over 1 year ago)
• Topics: geometry, maths
• Language: HTML
• Homepage: http://timhutton.github.io/mobius-transforms/
• Size: 1.79 MB
• Stars: 40
• Watchers: 5
• Forks: 1
• Open Issues: 3
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

Awesome Lists containing this project

README

          
#### Contents: ####

1. [Explore Möbius transformations](#1-explore-möbius-transformations)

2. [Use random Möbius transformations to make an IFS fractal](#2-use-random-möbius-transformations-to-make-an-ifs-fractal)

3. [Draw the limit set of a group of Möbius transformations](#3-draw-the-limit-set-of-a-group-of-möbius-transformations)

# 1. Explore Möbius transformations: #

Live demo: https://timhutton.github.io/mobius-transforms/

[![vortices](https://user-images.githubusercontent.com/647092/148930629-d54c37e0-25bf-420d-b3f3-201f831a23c3.png)](http://timhutton.github.io/mobius-transforms/)

# 2. Use random Möbius transformations to make an IFS fractal: #

Live demo: https://timhutton.github.io/mobius-transforms/ifs.html

[![IFS fractal](https://user-images.githubusercontent.com/647092/148929511-d36615ad-322b-4e82-9f33-5983493a6ba2.png)](https://timhutton.github.io/mobius-transforms/ifs.html)

For higher resolution images, there's a GPU version here: https://observablehq.com/@timhutton/mobius-ifs

[![mobius_ifs_observable7](https://user-images.githubusercontent.com/647092/149247664-d9f6f0c3-e386-4280-a6ac-48e5d48a30f6.jpg)

](https://observablehq.com/@timhutton/mobius-ifs)

### More images: ###

















# 3. Draw the limit set of a group of Möbius transformations: # 

Live demo: https://timhutton.github.io/mobius-transforms/dfs_recipes.html

[![screenshot](https://user-images.githubusercontent.com/647092/149700898-0bb9dc2c-0b15-40a7-a405-ea92a7cd0caf.png)](https://timhutton.github.io/mobius-transforms/dfs_recipes.html)

Example of SVG output:

![svg_screenshot](https://user-images.githubusercontent.com/647092/149701451-60dde800-6a7b-47e7-9f59-36852378a5dd.png)