Elementary cellular automaton

An animation of how an evolution is determined in Rule 30, one of the 256 possible rules of elementary cellular automata.

In mathematics and computability theory, an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and 1) and the rule to determine the state of a cell in the next generation depends only on the current state of the cell and its two immediate neighbors. There is an elementary cellular automaton (rule 110, defined below) which is capable of universal computation, and as such it is one of the simplest possible models of computation.

^ R.Ugalde, Laurence. "Elementary cellular automaton in the Fōrmulæ programming language". Fōrmulæ. Retrieved June 9, 2024.

[formulae-1] R.Ugalde, Laurence. "Elementary cellular automaton in the Fōrmulæ programming language". Fōrmulæ. Retrieved June 9, 2024.

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