Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
437223 | Theoretical Computer Science | 2012 | 5 Pages |
Abstract
We construct a reversible, one-dimensional cellular automaton that has the property that a finite initial configuration generates all finite patterns over its state alphabet. We also conjecture that a related cellular automaton satisfies the stronger property that every finite pattern gets generated in every position, so that the forward orbit of the finite initial configuration is dense.
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