Gray-Scott Reaction-Diffusion — Turing Patterns

Finite-difference solver for the Gray-Scott PDE system on a 200×200 grid (5-point Laplacian, explicit Euler). Sweeping feed rate F and kill rate k maps the full Pearson diagram of morphologies — spots, stripes, worms, solitons, labyrinthine patterns, and uniform steady states. The progressive animation reveals how the spatial pattern grows from random initial conditions. Implemented in Julia with a Pluto interactive applet.