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Binary Patterns of Integer Functions

Intricate patterns can be produced from the binary number representation of the results of integer functions. Is there a cellular automata rule (and initial condition) that can produce the same behavior and computation?

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There is a cellular automaton that computes the primes.

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"Binary Patterns of Integer Functions" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/BinaryPatternsOfIntegerFunctions/
Contributed by: Daniel de Souza Carvalho




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