Gray-Scott Reaction-Diffusion Spots

Two chemical species U and V interact: U+2V→3V (autocatalysis) and V→P (decay). The feed rate f and kill rate k control whether spots, stripes, or labyrinthine patterns emerge.

Controls

Feed f 0.055 Kill k 0.062 D_u 0.20 D_v 0.10

Avg V: —

Step: 0

Presets: spots (f≈0.055, k≈0.062),
stripes (f≈0.04, k≈0.06),
worms (f≈0.02, k≈0.05)

Equations:
∂U/∂t = Dᵤ∇²U − UV² + f(1−U)
∂V/∂t = D_v∇²V + UV² − (f+k)V

Gray-Scott Reaction-Diffusion — Spots & Stripes

Controls