Computational Science Technical Note CSTN-137

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Static and Dynamical Equilibrium Properties to Categorise Generalised Game-of-Life Related Cellular Automata

K. A. Hawick

Archived August 2011, Revised April 2012

Abstract

Conways's Game-of-Life (GoL) is one of a family of spatial cellular automata rule sets that employ the Moore neighbourhood on a rectilinear lattice of cells. GoL generalises to set of other automata using different neighbour-numbers that lead to birth and survival. These models exhibit different static properties and also different long term dynamical equilibrium points. We define some quantifiable metrics and explore how some well known GoL variants can be categorised into groupings, categorised by their static properties and dynamical equilibria. We also explore effects due to differing initial crowding levels of the live seed cell population, and how this affects the categories.

Keywords: statistical mechanics; Game of Life; generalised rules; cellular automata; complex system.

Full Document Text: PDF version.

Citation Information: BiBTeX database for CSTN Notes.

BiBTeX reference:

@INPROCEEDINGS{CSTN-137,
  author = {K. A. Hawick},
  title = {Static and Dynamical Equilibrium Properties to Categorise Generalised
	Game-of-Life Related Cellular Automata},
  booktitle = {Int. Conf. on Foundations of Computer Science (FCS'12)},
  year = {2012},
  pages = {51-57},
  address = {Las Vegas, USA},
  month = {16-19 July},
  publisher = {CSREA},
  institution = {Computer Science, Massey University},
  timestamp = {2012.04.19}
}


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