Hopalong Attractor

Barry Martin's "Hopalong" map: xₙ₊₁ = y − sign(x)·√|bx−c|, yₙ₊₁ = a − x. Despite its simplicity, it creates intricate feathery attractors.

Feather

Spiral

Wings

Galaxy

Void

Bloom

Random

Points (×10k)500k

Color

Discovered by Barry Martin (1986). The strange attractor arises from a 2D iterated map — no differential equations needed. Parameters (a, b, c) shape the entire structure.