Pattern reproduction in tessellation automata of arbitrary dimension

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Amoroso and Cooper have shown that for an arbitrary state alphabet A, one- and two-dimensional tessellation automata are definable which have the ability to reproduce any finite pattern contained in the tessellation space. This note shows that the same construction may be applied to tessellation spaces of any finite dimension.

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论文评审过程:Received 9 December 1970, Revised 4 February 1971, Available online 27 December 2007.

论文官网地址:https://doi.org/10.1016/S0022-0000(71)80019-3