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An example of a sequential substitution system that yields apparently random behavior. Each column on the right-hand side shows the evolution of the system for 250 steps. The compressed picture on the left is made by evolving for a million steps, but showing only steps at which the string becomes longer than it has ever been before. (The rule is the same as (g) on the previous page.)


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From Stephen Wolfram: A New Kind of Science [citation]