Rule 126
المؤلف:
Wolfram, S
المصدر:
"Statistical Mechanics of Cellular Automata." Rev. Mod. Phys. 55
الجزء والصفحة:
...
26-8-2021
1793
Rule 126
Rule 126 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 (Wolfram 2002, p. 55).
Rule 126 is amphichiral, and its complement is rule 129.
Starting with a single black cell, successive generations 
, 1, ... are given by interpreting the numbers 1, 7, 27, 127, 387, 1935, 6579, 32767, ... in binary, namely 1, 111, 11011, 1111111, 110000011, ....
REFERENCES:
Wolfram, S. "Statistical Mechanics of Cellular Automata." Rev. Mod. Phys. 55, 601-644, 1983.
Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, pp. 55, 90, and 952, 2002.
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