An Iterated Function System in Python

Initially written under the guidance of Thomas Ludwig one night at KiwiFoo.

The tone-mapped image handling comes from Minilight.

NOTE: I strongly recommend using PyPy to run this (it runs about 40x faster)

Running

Just run

python pyifs.py

You can change the output filename at the bottom of pyifs.py

NOTE: You may want to provide a seed with random.seed() so if you get a nice result, you can re-run it at higher resolution, etc.

Customization

Parts of the code that can be customized are marked CUSTOMIZE in pyifs.py

• You can adjust the WIDTH, HEIGHT, ITERATIONS, NUM_POINTS and NUM_TRANSFORMS
• You can write new Transform classes
• You can pick which transforms to choose from in TRANSFORM_CHOICES

Writing New Transforms

A new subclass of Transform should randomize its parameters in __init__ then implement a transform method that takes two args (the x, y of the point) and returns a new x, y.

Alternatively, you can subclass ComplexTransform and instead of implementing transform instead implement a method f that takes a single complex number argument and returns anew complex number.

Examples