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arXiv · 2308.00060

An Invitation to Number-Conserving Cellular Automata

Markus Redeker
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Abstract

Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional number-conserving automata. Here I describe in greater detail how one can simulate the automata on a computer and how to find interesting rules. I show several rules that I have found this way and also some theorems about the space of number-conserving automata.

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Markus Redeker. 2023-07-31. An Invitation to Number-Conserving Cellular Automata. https://arxiv.org/abs/2308.00060

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