IFS Fractal Explorer

Iterated Function Systems: any fractal is the unique attractor of a set of contractive affine maps. Edit the transformations or choose a preset.

Transformations (a,b,c,d,e,f,p):
Each row: affine map xₙ₊₁ = a·x+b·y+e, yₙ₊₁ = c·x+d·y+f, chosen with probability p. The attractor is the unique set satisfying A = ⋃ fᵢ(A) (Hutchinson 1981).