Eden Cluster Growth — KPZ Roughness

Starting from a seed, randomly add perimeter sites. The cluster's interface roughness W(t) ~ t^β with β≈1/3 (KPZ universality class). Color encodes time of addition — watch the rainbow cluster grow.

Growth rate: fast

Cluster size: —

Radius R: —

Roughness W: —

β (fitted): —

KPZ theory: β=1/3