Two-Dimensional Recursive Subdivision of the Evolution of a Cellular Automaton

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In this Demonstration we compress elementary cellular automata by using an encoding that generalizes a two-dimensional substitution system. At each step a square either remains the same or is subdivided into four small squares. From A New Kind of Science, page 568 (NKS|Online): "The method is analogous to the quadtree representation sometimes used in computer graphics."

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The graphic at the top is the subdivision process of the original cellular automata. The graphic at the bottom is the compressed evolution using the subdivision process.

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


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