Wolfram Demonstrations Project
8758

Eigenvalues of Cellular Automaton Matrices

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.

THINGS TO TRY

SNAPSHOTS

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DETAILS

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

PERMANENT CITATION

"Eigenvalues of Cellular Automaton Matrices" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/EigenvaluesOfCellularAutomatonMatrices/
Contributed by: Stephen Wolfram
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