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Recurring States in Cellular Automaton Evolution

It is possible to plot the amount of recurrent states in the evolution of cellular automaton (CA), with random initial condition. The steps are sorted, converted to an integer from the binary sequence, and plotted as a sequence of values. There are more recurrences of steps at CA classes I and II than classes III and IV, which have less recurrences because of their random (noisy) characteristics.

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