Turing Patterns

Gray-Scott reaction-diffusion: two chemical species U and V interact according to U+2V→3V and V→P. Different feed rate F and kill rate k produce wildly different patterns.

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Turing (1952) showed two diffusing chemicals could spontaneously break symmetry. The key is local activation + long-range inhibition: U activates both itself and V, but V diffuses faster and suppresses U across wider areas, carving out the characteristic scale of the pattern.

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