Chapter 11: The Notion of Computation

Section 10: Class 4 Behavior and Universality

[Universal] totalistic rules

It is straightforward to show that totalistic cellular automata can be universal. Explicit simple candidates include k = 2, r = 2 rules with codes 20 and 52, as well as the various k = 3, r = 1 class 4 rules shown in Chapter 3.

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