Computation by competing patterns: life rule B2/S2345678

Martinez, Genaro J.; Adamatzky, Andrew; McIntosh, Harold V.; de Lacy Costello, Ben

Abstract

Patterns, originating from different sources of perturbations, propagating in a precipitating chemical medium do usually compete for the space. They sub-divide the medium onto the regions unique for an initial configuration of disturbances. This sub-division can be expressed in terms of computation. We adopt an analogy between precipitating chemical media and semi-totalistic binary two-dimensional cellular automata, with cell-state transition rule B2/S2...8. We demonstrate how to implement basic logic and arithmetical operations (computability) by patterns propagating in geometrically constrained Life rule B2/S2...8 medium.

• Publication Date: Jun 1, 2008
• Peer Reviewed: Peer Reviewed
• Pages: 356-367
• Book Title: Automata 2008: Theory and Applications of Cellular Automata
• ISBN: 978-1-905986-16-3
• Keywords: Life rule B2/S2345678
• Public URL: https://uwe-repository.worktribe.com/output/1011839