Random dynamics on a triangular grid

I’m dipping my feet into random and monte carlo methods and wanted to try it out with a triangular grid after finding a few beautiful images on pinterest. I’m just picking grid elements at random and then swaping the values with an adjacent tile.

Everything random moves things around, random plus not separating matching tiles creates small clusters, picking the direction based on the tile color creates big groups in those directions. Rules based on sums just move things around randomly.

I haven’t found any rules to create large scale clusters yet, or create repetitive structured patterns, but I’m still looking. I’ll try some more ising, or changing value instead of swapping rules and see what I can do with those. I would still think that there should be some kind of local clustering rule though.

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