Post #2870356

2026-04-16 12:48 UTC

If you liked this thread, check out my very infrequently-updated coding blog at https://mzucker.github.io/ for other #MathArt projects and miscellaneous tinkering. And feel free to reply with questions – I'll do my best to answer them here.

Replies (2)

@jannem@fosstodon.org 2026-04-16 12:53

@matt_zucker@mastodon.social So to test my understanding, in order to make them tileable you have to define - for one tile - a surface where all three or four edges loop back on each other (torus geometry for four edges). And for multiple patterns you need multiple surfaces that still all share the same single edge. Now, it should matter which way they're flipped. Is there more than one way to arrange the flips of the common edges? Or there is only the one?

Open ##2870357
@kbob@chaos.social 2026-04-16 14:54

@matt_zucker@mastodon.social I think I understand the periodic boundary condition -- it uses a fixed set of grid squares just outside the tile, used to calculate diffusion. Right? But how do you put a grid on a regular pentagon? If it's an irregular grid, how do you calculate the Laplacian? It seems like diffusion rate would become direction-dependent. Thanks.

Open ##2870363