Definition
In an elementary cellular automaton, a one-dimensional pattern of 0's and 1's evolves according to a simple set of rules. Whether a point in the pattern will be 0 or 1 depends in the new generation on its current value, as well of that of its two neighbors. The Rule 110 automaton has the following set of rules:
current pattern | 111 | 110 | 101 | 100 | 011 | 010 | 001 | 000 |
---|---|---|---|---|---|---|---|---|
new state for center cell | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 |
The name "Rule 110" derives from the fact that this rule can be summarized in the binary sequence 01101110; interpreted as a binary number, this corresponds to the decimal value 110.
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