Surjective Span 6 Cellular Automata

Abstract

Using FSA and the construction algorithm, we generated a list of surjective span 6 cellular automata as a modest sample for our FDense program. We wanted to experimentally quantify Mike Boyle's conjecture which states that the jointly periodic points of one-dimensional cellular automata are dense. Furthermore, we wanted to know if the cardinality of cellular automata on N symbols is greater than or equal to the square root of N.