Margaret Hill, Susan Stepney, Francis Wan.
Penrose Life: ash and oscillators.

In Mathieu S. Capcarrere, Alex A. Freitas, Peter J. Bentley, Colin G. Johnson, Jonathan Timmis, editors. Advances in Artificial Life: ECAL 2005, Canterbury, UK, September 2005 . LNAI 3630:471-480. Springer, 2005

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.

@inproceedings(SS-ECAL05,
  author = "Margaret Hill and Susan Stepney and Francis Wan",
  title = "Penrose {L}ife: ash and oscillators",
  pages = "471--480",
  crossref = "ECAL05"
)

@proceedings(ECAL05,
  title = "Advances in Artificial Life: ECAL 2005, Canterbury, UK, September 2005",
  booktitle = "Advances in Artificial Life: ECAL 2005, Canterbury, UK, September 2005",
  editor = "Mathieu S. Capcarrere and Alex A. Freitas and Peter J. Bentley
            and Colin G. Johnson and Jonathan Timmis",
  series = "LNAI",
  volume = 3630,
  publisher = "Springer",
  year = 2005
)