BTW: Of course the rules were parametrised, so any totalistic 2-dimensional 9-neighbourhood CA could be run.
Source: wiktionary
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BTW: Of course the rules were parametrised, so any totalistic 2-dimensional 9-neighbourhood CA could be run.
Source: wiktionary
Note that the game of life is not totalistic: the transition function depends on the cell's own state and on the sum of the neighboring states.
Source: wiktionary
The Xor operation drastically cuts down the number of operations when dealing with totalistic CA rules. For example, a function of four variables a, b, c, d, returning 1 iff there are exactly two ones and two zeros among its arguments, is represented by this Karnaugh diagram:
Source: wiktionary
Many good applets run Moore binary totalistic rules such as Conway's Life, but WebsideCA also runs von Neumann rules, rules in the "Brian's Brain" family, non-totalistic binary and decay rules, and Cyclic rules.
Source: wiktionary
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.