Eigenvalues of Cellular Automaton Matrices

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Create a matrix from the pattern of 0s and 1s of a cellular automaton evolution, then find the eigenvalues of the matrix in the complex plane. Note the regular and irregular structures seen with different rules.

Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA



Even-numbered rules below 128 give matrices that are half zeros, and always have simple eigenvalues.

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