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Generate fractals based on iterated function systems, e.g. Fractal flames, the Sierpenski triangle and Barnsley's Fern

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IFS Fractals

This project implements so called iterated function systems and makes it possible to make approximate plots of the fixed sets of the system. Many fractals can be considered as fixed sets of iterated function systems, including the Sierpinski carpet and flame fractals. See the "demo" package for examples of plots.

Functions

Currently, the library has demos to make images of attractors of the following systems:

  • Barnsleys Fern
  • The Bogdanov Map
  • Dragon Curve
  • Fractal Flame
  • The Ikeda Map
  • Levy C Curve
  • Sierpinski Triangle
  • Tinkerbell Map

Images

Below are outputs from some of the demos. All source code can be found in the demo-folder

Sierpinski's triangle Sierpinski's triangle.

Fractal flame Fractal flame.

Barnsley's fern Barnsley's fern.

N-Flake Tinkerbell Map.

Dragon curve Dragon curve.

Levy C Curve Levy C Curve.

Ikeda Map Ikeda Map.

Tinkerbell Map Tinkerbell Map.

Bogdanoc Map Bogdanov Map.

/Jonas ([email protected])

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Generate fractals based on iterated function systems, e.g. Fractal flames, the Sierpenski triangle and Barnsley's Fern

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