Penrose life: ash and oscillators

  • Authors:

  • Margaret Hill;Susan Stepney;Francis Wan

  • Affiliations:

  • Department of Computer Science, University of York, Heslington, York, UK;Department of Computer Science, University of York, Heslington, York, UK;Ampleforth College, York, UK

  • Venue:
  • ECAL'05 Proceedings of the 8th European conference on Advances in Artificial Life
  • Year:
  • 2005

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Abstract

We compare the long term behaviour of Conway’s Game of Life cellular automaton, from initial random configurations, on a bounded rectangular grid and a bounded Penrose tiling grid. We investigate the lifetime to stability, the final ‘ash’ density, and the number and period of final oscillators. Penrose grids have similar qualitative behaviour but different quantitative behaviour, with shorter lifetimes, lower ash densities, and higher ocurrence of long-period oscillators.