The Ameyalli-Rule: Logical Universality in a 2D Cellular Automaton
José Manuel Gómez Soto and Andrew Wuensche
We present a new spontaneously emergent glider-gun in a 2D Cellular Automaton and build the logical gates NOT, AND and OR required for logical universality. The Ameyalli-rule is not based on survival/birth logic but depends on 102 isotropic neighborhood groups making an iso-rule, which can drive an interactive input-frequency histogram for visualising iso-group activity and dependent functions for filtering and mutation. Neutral inputs relative to logical gates are identified which provide an idealized striped-down form of the iso-rule.
Keywords: Cellular automata, iso-rule, glider-gun, logical gates, universality