The Curious Case of Reversible Elementary Second Order Cellular Automaton 115
arXiv:2606.13159v15.6
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Provides theoretical results for a specific cellular automaton rule, which is incremental for the cellular automata community.
The paper proves that reversible elementary second order cellular automaton rule 115 is periodic on finite initial configurations and studies families of configurations with interesting period functions.
We prove that the reversible elementary second order cellular automaton rule 115 is periodic when started on finite initial configurations. We also study some families of finite configurations that have interesting period functions.