By the same authors

Investigations of Game of Life cellular automata rules on Penrose Tilings: lifetime and ash statistics

Research output: Contribution to conferencePaper



Publication details

DatePublished - 2008
Original languageUndefined/Unknown


Conway’s Game of Life rules can be applied to Cellular Automata (CAs) running on aperiodic grids, namely Penrose tilings. Here we investigate the result of running such CAs from random initial conditions. This requires development of a Penrose tiling algorithm suitable for CA experiments, in particular, a tiling that can be lazily expanded as CA activity reaches an edge. We describe such an algorithm, our experimental setup, and demonstrate that the Penrose kite and dart tiling has significantly different statistical behaviour from the Penrose rhomb tiling.

Bibliographical note

Paper given at Automata 2008, Bristol, UK, June 2008

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