domingo, dezembro 21, 2008

Jogo da Vida

Uma referência para meu (possível) futuro estudante de mestrado...

(Submitted on 11 May 2006 (v1), last revised 18 Sep 2006 (this version, v2))

Abstract: The cellular automata with local permutation invariance are considered. We show that in the two-state case the set of such automata coincides with the generalized Game of Life family. We count the number of equivalence classes of the rules under consideration with respect to permutations of states. This reduced number of rules can be efficiently generated in many practical cases by our C program. Since a cellular automaton is a combination of a local rule and a lattice, we consider also maximally symmetric two-dimensional lattices. In addition, we present the results of compatibility analysis of several rules from the Life family.

Comments: 11 pages, corrected to match published version
Subjects: Mathematical Physics (math-ph); Cellular Automata and Lattice Gases (nlin.CG)
Journal reference: CASC 2006, LNCS 4194, pp. 240--250, 2006. Springer-Verlag Berlin Heidelberg 2006
Cite as: arXiv:math-ph/0605040v2

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