The game of life rules on penrose tilings: Still life and oscillators

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Abstract

John Horton Conway's Game of Life is a simple two-dimensional, two state cellular automaton (CA), remarkable for its complex behaviour. That behaviour is known to be very sensitive to a change in the CA rules. Here we continue our investigations into its sensitivity to changes in the lattice, by the use of an aperiodic Penrose tiling lattice. © 2010 Springer-Verlag London Limited.

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Owens, N., & Stepney, S. (2010). The game of life rules on penrose tilings: Still life and oscillators. In Game of Life Cellular Automata (pp. 331–378). Springer London. https://doi.org/10.1007/978-1-84996-217-9_18

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