Spatial updating, spatial transients, and regularities of a complex automaton with nonperiodic architecture

• DOI: 10.1063/1.2732896
• Publication Date: 2007-06-28T22:09:32Z
• Authors: Joana G. Freire; Owen J. Brison; Jason A. C. Gallas
• Keywords: Lattice gas automaton; Lattice (music); Elementary cellular automaton

We study the dynamics of patterns exhibited by rule 52, a totalistic cellular automaton displaying intricate behaviors and wide regions active/inactive synchronization patches. Systematic computer simulations involving 2(30) initial configurations reveal that all complexity in this originates from random juxtaposition very small number interfaces delimiting Such are studied with sidewise spatial updating algorithm. This novel tool allows us to prove found empirically only possible for these periods, independently size automata. The algorithm provides an alternative way determine automata arbitrary size, taking into account connections lattice.