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Representing Elementary Cellular Automaton Rules

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rule as decimal
110
steps
mesh
decimal rule expanded in powers of 2
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0 128 + 1 64 + 1 32 + 0 16 + 1 8 + 1 4 + 1 2 + 0 1 110
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binary representation of rule
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111
110
101
100
011
010
001
000
0
1
1
0
1
1
1
0
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graphic representation of rule
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Each cellular automaton rule can be represented as a decimal number obtained by reading its rule icon in base 2. This Demonstration shows this derivation for the elementary cellular automata, as well as the evolution of each automaton from a single black cell.
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