IFS Iterated Function System (Barnsley Fern)

Generate a self-similar fern point cloud by stochastic affine transformations

Rendered Points: 0 Active Transform: - FPS: 0

Controls

Total Iterations 50000 Points per Frame 1000 Color Mode Background

Each row: x' = ax + by + e, y' = cx + dy + f, where p is selection probability.

#	a	b	c	d	e	f	p

Affine transform family:

$$\begin{pmatrix}x'\\y'\end{pmatrix}=A_i\begin{pmatrix}x\\y\end{pmatrix}+b_i,\ i=1,2,\ldots,m$$