Turing Pattern in Three.js

These Turing patterns are generated by solving 2D Lengyel-Epstein model.

$\frac{\partial u}{\partial t} = \nabla^2 u + a - u + 4 \frac{uv}{1+u^2}$

$\frac{\partial v}{\partial t} =\sigma[ c \nabla^2 v + b (u - \frac{uv}{1+u^2})]$

By varying the parameters a and b you can generate different patterns. Some examples: For spots, a=29.4, b=1.555. For stripes, a=12.6, b=0.355. For instability, a=27, b=0.1.

These patterns can take several minutes to reach equilibrium.

Visualizing Turing Patterns with Three.js

By Honesty Kim, Patricia Lan, Saurabh Datar, & Travis Shafer