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Cellular Automata on a QuasiCrystal
This picture was generated on a quasi-periodic tiling of the plane possessing 5-fold symmetry.
This picture has 86,036 tiles, 200,000 iterations were done, and a depth-5 neighborhood was used.
For detailed information on the algorithm,
click here or the picture below.
For this 200,000 iteration run, I made a histogram of the number of randomly chosen cells that had a given depth-5 neighborhood size. In the graph below, "dat0" is fat tiles (solid line, diamond symbol) and "dat1" is skinny tiles (dashed line, plus symbol).
Two examples of depth-5 neighborhoods (of the green tiles):
Curious what the Earth would look like from space if we had a 3-party system world government? Click here for more information. Or, perhaps it's just a 3-party majority rule CA run on a quasi crystal ...
A CA rule that's different for the two types of tiles