Chaos Game

A chaos game generation library. Supports Jupyter Notebook.

Features

• Create 2D and 3D fractals with chaos game
• Animate creation of chaos game fractals

Install

Requirements

• GEOS
  • Available on MacOS, Windows, Linuxes

Recommended method

1. Clone the repository.
2. Install from requirements.txt by pip install -r requirements.txt.

Alternative method

pip install chaosgame

pip might not be updated.

Jupyter Notebook

View 3D chaos games (WIP)

Interactive 3d chaos game in Jupyter Notebook by ipyvolume.

2D samples

from chaosgame.chaos_game import *

The famous Sierpiński triangle

# create regular polygon object with 3 vertexes (triangle)
cg = ChaosGameRegularPolygon(3)
# start chaos game with 10000 iterations and factor 0.5
cg.chaos_game(100000, 0.5)
# generate heatmap
cg.generate_heatmap()

Sierpinski carpet

cg = ChaosGameRegularPolygon(4)
cg.add_virtual_vertex(1)
cg.chaos_game(10000, 2/3)
cg.generate_heatmap()

Vicsek fractal

You can even apply additional vertexes (points randomly picked during chaos game). In this case, a vertex is created in the center of the polygon.

cg = ChaosGameRegularPolygon(4)
# create an additional vertex
cg.add_virtual_vertex(0)
cg.chaos_game(100000, 2/3)
cg.generate_heatmap()