/mobius-transforms

Exploring Möbius transformations and implementing the book Indra's Pearls

Primary LanguageHTMLGNU General Public License v3.0GPL-3.0

Contents:

  1. Explore Möbius transformations
  2. Use random Möbius transformations to make an IFS fractal
  3. Draw the limit set of a group of Möbius transformations

1. Explore Möbius transformations:

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

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

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

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

mobius_ifs_observable7

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

Example of SVG output: svg_screenshot