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- W4286615452 abstract "Abstract In this article, the replication of arbitrary patterns by reversible and additive cellular automata is reported. The orbit of an 1D cellular automaton operating on p symbols that is both additive and reversible is explicitly given in terms of coefficients that appear in the theory of Gegenbauer polynomials. It is shown that if p is an odd prime, the pattern formed after ( p − 1)/2 time steps from any arbitrary initial condition (spatially confined to a region of side less than p ) replicates after p + ( p − 1)/2 time steps in a way that resembles budding in biological systems." @default.
- W4286615452 created "2022-07-23" @default.
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- W4286615452 date "2022-08-10" @default.
- W4286615452 modified "2023-10-16" @default.
- W4286615452 title "Replication of spatial patterns with reversible and additive cellular automata" @default.
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- W4286615452 doi "https://doi.org/10.1088/1751-8121/ac8382" @default.
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