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Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates (2006)
Journal Article
Martínez, G. J., Adamatzky, A., & McIntosh, H. V. (2006). Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates. Chaos, Solitons and Fractals, 28(1), 100-111. https://doi.org/10.1016/j.chaos.2005.05.013

Rule 54, a two state, three neighbor cellular automaton in Wolfram's systems of nomenclature, is less complex that Rule 110, but nevertheless possess a rich and complex dynamics. We provide a systematic and exhaustive analysis of glider behavior and... Read More about Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates.

Phenomenology of reaction-diffusion binary-state cellular automata (2006)
Journal Article
Mora, J. C. S. T., Martínez, G. J., & Adamatzky, A. (2006). Phenomenology of reaction-diffusion binary-state cellular automata. International Journal of Bifurcation and Chaos, 16(10), 2985-3005. https://doi.org/10.1142/S0218127406016598

We study a binary-cell-state eight-cell neighborhood two-dimensional cellular automaton model of a quasi-chemical system with a substrate and a reagent. Reactions are represented by semitotalistic transitions rules: every cell switches from state 0 t... Read More about Phenomenology of reaction-diffusion binary-state cellular automata.