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arXiv · 1304.8104

The amazing dynamics of stochastic pattern formation and growth models inspired by the Conway's Game of Life

Leonid Yaroslavsky
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Abstract

Several modifications of the famous mathematical Game of Life are introduced by making Game of Life rules stochastic and mutual influence of cells in their 8-neighborhood on a rectangular lattice spatially non-uniform. Results are reported of experimental investigation of evolutionary dynamics of the introduced models. A number of new phenomena in the evolutionary dynamics of the models and collective behavior of patterns they generate are revealed, described and illustrated: formation of maze-like patterns as fixed points of the models, "self-controlled growth", "eternal life" in a bounded space and "coherent shrinkage".

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Leonid Yaroslavsky. 2013-04-28. The amazing dynamics of stochastic pattern formation and growth models inspired by the Conway's Game of Life. https://arxiv.org/abs/1304.8104

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