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More cyclic cellular automata

It is possible to alter the parameters of the cyclic cellular automaton. Obviously, the number of states N per cell can be varied. But it is also possible to change the “threshold”, defined as the number of neighbours with value n + 1 (mod N) needed for a cell to advance from n to n + 1 (mod N). Some of these variants have specific names, and two particularly neat ones are “313” (three states, threshold 3) and “Perfect” (four states, threshold 3), shown below.

The “313” rule creates a pattern of “moustaches”:

The 313 cyclic automaton in shades of green.

The “Perfect” rule creates octagonal spirals:

The Perfect cyclic automaton in shades of red.

Tomorrow I will make a different kind of adjustment to the cyclic CA.


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