Gray-Scott Reaction-Diffusion

Two chemical species U and V interact: U + 2V → 3V (autocatalytic) and V → P (decay). Varying the feed rate f and kill rate k produces the full morphological zoo: spots, stripes, solitons, mazes, and spirals — all from the same equations.

Feed rate f: 0.037 Kill rate k: 0.060 Du (U diffusion): 0.16 Dv (V diffusion): 0.08

∂U/∂t = Duː∇²U − UV² + f(1−U)
∂V/∂t = Dvː∇²V + UV² − (f+k)V

Click/drag on canvas to disturb the pattern. Higher f feeds U; higher k kills V. The ratio f/k determines morphology — Pearson (1993) mapped the full parameter space.

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