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Date: 18-11-2021
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Date: 23-9-2021
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Date: 18-12-2021
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Rule 250 is one of the elementary cellular automaton rules introduced by Stephen Wolfram in 1983 (Wolfram 1983, 2002). It specifies the next color in a cell, depending on its color and its immediate neighbors. Its rule outcomes are encoded in the binary representation . This rule is illustrated above together with the evolution of a single black cell it produces after 15 steps (OEIS A071028; Wolfram 2002, p. 55).
For initial conditions of a single black cell, this rule produces identical evolution to rules 50, 58, 114, 122, 178, 186, and 242, which are precisely those with binary representation .
Rule 250 is a generalized additive elementary cellular automata under the operation OR() (Wolfram 2002, p. 952), where is the value of the neighboring cell to the left and is the value of the neighboring cell to the right.
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