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- W3159587953 abstract "To respect physics and nature, cellular automata (CA) models of self-organisation, emergence, computation and logical universality should be isotropic, having equivalent dynamics in all directions. We present a novel paradigm, the iso-rule, a concise expression for isotropic CA by the output table for each isotropic neighborhood group, allowing an efficient method of navigating and exploring iso-rule-space. We describe new functions and tools in DDLab to generate iso-groups and iso-rules, for multi-value as well as binary, in one, two and three dimensions. These methods include filing, filtering, mutating, analysing dynamics by input-frequency and entropy, identifying the critical iso-groups for glider-gun/eater dynamics, and automatically classifying iso-rule-space. We illustrate these ideas and methods for two dimensional CA on square and hexagonal lattices." @default.
- W3159587953 created "2021-05-10" @default.
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- W3159587953 date "2021-01-01" @default.
- W3159587953 modified "2023-09-27" @default.
- W3159587953 title "Isotropic Cellular Automata: the DDLab iso-rule Paradigm." @default.
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