Gliders and Ether in Rule 54

Details Gliders and Ether in Rule 54 Gliders and Ether in Rule 54

2010-07-17

arxiv.org/abs/1007.2920v1

AUTOMATA 2010: 16th International Workshop on Cellular Automata and Discrete Systems. Nazim Fat\`es, Jarkko Kari and Thomas Wo

Nonlinear Sciences

Cellular Automata and Lattice Gases

10 pages, 6 figures, 3 tables. Some errors of the printed version are corrected

Scientific paper

This is a study of the one-dimensional elementary cellular automaton rule 54 in the new formalism of "flexible time". We derive algebraic expressions for groups of several cells and their evolution in time. With them we can describe the behaviour of simple periodic patterns like the ether and gliders in an efficient way. We use that to look into their behaviour in detail and find general formulas that characterise them.

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