SYMMETRIC SELF-ORGANIZATION IN A CELLULAR AUTOMATON REQUIRING AN ESSENTIALLY RANDOM FEEDBACK: OBSERVATIONS, CONJECTURES, QUESTIONS
André M. Barbé, Fritz V. Haeseler · International Journal of Bifurcation and Chaos · 2003
A triangular cellular array whose cell-states satisfy the local rule of the cellular automaton that generates Pascal's triangle modulo 2 is subjected to a feedback inspired by conditions for rotational symmetry of its state-pattern. We discuss observations and conjectures about the fact that, in order to stabilize effectively in a rotationally symmetric pattern, the underlying recursion (feedback) procedure must have an essentially random nature.