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- W4297797141 abstract "We define rules for cellular automata played on quasiperiodic tilings of the plane arising from the multigrid method in such a way that these cellular automata are isomorphic to Conway's Game of Life. Although these tilings are nonperiodic, determining the next state of each tile is a local computation, requiring only knowledge of the local structure of the tiling and the states of finitely many nearby tiles. As an example, we show a version of a glider moving through a region of a Penrose tiling. This constitutes a potential theoretical framework for a method of executing computations in non-periodically structured substrates such as quasicrystals." @default.
- W4297797141 created "2022-10-01" @default.
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- W4297797141 date "2017-08-29" @default.
- W4297797141 modified "2023-09-25" @default.
- W4297797141 title "A Game of Life on Penrose tilings" @default.
- W4297797141 doi "https://doi.org/10.48550/arxiv.1708.09301" @default.
- W4297797141 hasPublicationYear "2017" @default.
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