Wild emergence of complex organisation in a simpler cellular automata
Centre of Excellence for Mathematics and Statistics of Complex Systems Seminar
by Tony Smith
Abstract: Six months intense study of the development from simple seeds with the Generations 345/3/6 cellular automata rule has revealed a vast new territory of emergent phenomena and a limitless supply of data on the behaviour of complex interactions extremely close to the elusive boundary of order and chaos. Viable seed patterns form a slowly growing chaotic core with outbound streams of 1/2 speed (space)ships headed NSEW. Around once per million live cells, one of several varieties of also 1/2 speed track/trail laying engines appears, surviving indefinitely within the ship streams. The tracks and trails exhibit resilience, even healing, and support a range of attached patterns moving at various fractional speeds.
Those attached patterns and subsequent interactions with ships in the streams provide numerous different mechanisms for initiating new chaotic cores far from the original core. Most important reactions exhibit phase dependent variability making them computationally irreducible and attractive for statistical analysis despite being fully deterministic.
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