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So what about other class 4 cellular automata—like the ones I showed at the beginning of this section? Do they also end up having complicated sets of possible persistent structures?

All the persistent structures with repetition periods up to 15 steps in the code 20 cellular automaton. The structures shown were found by a systematic method similar to the one used to find all sequences that satisfy the constraints on page 268.

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From Stephen Wolfram: A New Kind of Science [citation]