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The universal cellular automaton emulating one step in the evolution of the rule shown above, which involves next-nearest as well as nearest-neighbor cells. The rule now covers a total of 32 cases, corresponding to the possible arrangements of colors of a cell and its nearest and next-nearest neighbors. The picture shows the evolution of five cells according to the rule shown, with each cell now being represented by a block of 70 cells in the universal cellular automaton.

The universal cellular automaton emulating one step in the evolution of the rule shown above, which involves next-nearest as well as nearest-neighbor cells. The rule now covers a total of 32 cases, corresponding to the possible arrangements of colors of a cell and its nearest and next-nearest neighbors. The picture shows the evolution of five cells according to the rule shown, with each cell now being represented by a block of 70 cells in the universal cellular automaton.


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