Barnsley Fern 3D — Iris Lab

The Barnsley fern is generated by four affine IFS (Iterated Function System) maps applied randomly with given probabilities. The attractor encodes the entire fern. Extended here to 3D with depth-encoded color and rotation.

Parameters

Points 100k

3D depth twist 0.30

Rotation Y 30°

Rotation X 0°

Points—

IFS maps4

IFS attractor: unique compact set
satisfying A = ∪ f_i(A)

Hausdorff dimension ≈ 1.78
(Barnsley fern)

Each point generated by
random map selection
(Chaos Game algorithm)