Animation Pack
3 seamlessly looping Turing pattern animations — spots, stripes, and labyrinths cycling through vivid color spectrums.
Price
$9.00
Secure payment via PayPal · Instant download · Personal license
About the craft
Every piece in this bundle is rendered from real mathematical equations — no AI, no procedural noise filters, no stock libraries. Generated frame by frame from the underlying systems by a small studio of mathematicians and engineers.
Included
The mathematics
Turing patterns are the spatial structures that arise when two diffusing chemicals react at different rates. Alan Turing showed in 1952 that under the right conditions, an initially uniform mixture will spontaneously break symmetry and settle into stripes, spots, or labyrinths — purely as a consequence of diffusion rates and reaction kinetics, without any external template. The same mechanism is now believed to govern the markings on fish, the arrangement of hair follicles, and the branching of fingers in embryonic limbs. Each image in this collection is a Turing simulation run to equilibrium on a high-resolution grid. The patterns are not designed — they self-organize from random noise, the way they do on a leopard.
∂u/∂t = Du∇²u + f(u,v), ∂v/∂t = Dv∇²v + g(u,v)
Also available