The U-Skate World
Gray-Scott reaction-diffusion, running on a square grid with toroidal wrap-around. Parameters: k = 0.06093, F = 0.062. This region of Gray-Scott has been called the U-Skate World by Robert Munafo, who discovered its amazing behavior in 2009. (more...) http://mrob.com/pub/comp/xmorphia/ind...
Computed by forward Euler integration, with diffusion values of 0.64 (D_a) and 0.32 (D_b) and a timestep of 0.2. The grid is 512x512.
The full equation is:
delta_a = D_a * laplacian_a - a*b*b + F*(1-a)
delta_b = D_b * laplacian_b + a*b*b - (F+k)*b
So the new values for a and b are:
new_a = a + delta_a * timestep
new_b = b + delta_b * timestep
The Laplacians are computed over the von Neumann neighborhood (a five-point stencil).
We are looking at chemical b, with a linear hue color palette from red at 0.0 to magenta at 0.45.
You can see me painting near the beginning to draw various gliders but after making the down-pointing five-dot glider in the lower-left I just let the simulation run. This took a few hours to compute, running on an nVidia GeForce GTX 460 with OpenCL, in Ready: http://code.google.com/p/reaction-dif...