The growth of configurations |
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| Authors: | Stephen J Willson |
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| Affiliation: | (1) Department of Mathematics, Iowa State University, 50011 Ames, Iowa, USA |
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| Abstract: | The transition ruleF of a cellular automaton may sometimes be regarded as a  rule of growth of a crystal from a seed . A study is made of the iterates,F,F
2
 .For certain one-dimensional growth rules, the limiting shapes of the crystals are computed, and an asymptotic formula for the size of the crystal as a function of time is obtained. |
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