Fractal Structure of a Class of Two-Dimensional Two-State Cellular Automata
Akane Kawaharada, Takao Namiki · 2017
It is well known that each linear cellular automaton rule with prime number of symbols has its limit set under suitable scaling, however, in case of nonlinear rules, the existence of limit set has not been reported even if case study. In the present paper the authors report on existence of a nonlinear two-dimensional cellular automaton rule which has limit set and on the box dimension of the boundary of its limit set.