Barnsley Fern IFS

An Iterated Function System (IFS) of 4 affine transformations applied randomly, with given probabilities, generates a fractal fern. Each transformation maps the entire fern to a part of itself — making the fern self-similar at every scale.

IFS Transformations
abcdefp
Stats
Points: 0
IFS Attractor: the unique set A = ∪ f_i(A)
How it works:

Pick a random transform with probability p_i. Apply it to the current point. Plot. Repeat millions of times.

The strange attractor emerges from pure randomness — the same shape every time, defined only by the transformation parameters.