Physics / Math
Reaction–diffusion
The Gray–Scott model: spots, stripes and Turing patterns.
What happens
Two chemicals feed and devour each other while diffusing at different speeds, and out of that tension patterns are born: spots, coral, mazes, travelling waves. This is Turing's mechanism for how a uniform mixture invents structure. Erase a patch with the mouse and watch the pattern heal the wound.
Equations used in the module
Equations ∂u/∂t = D_u ∇²u − u v² + F (1 − u) (Gray–Scott) ∂v/∂t = D_v ∇²v + u v² − (F + k) v F and k pick spots, stripes or worms
