On One-Sided, Topologically Mixing and Strongly Transitive CA with a Continuum of Period-Two Points

In a metric Cantor space B-n(N)(B-n(Z)) for any integer n >= 2 we present a modified construction of a one-sided, topologically mixing, open and strongly transitive cellular automaton (B-n(N)(B-n(Z)), F-n) with radius r = 1. The automaton has no fixed points but has continuum of period-two points and topological entropy log(n). Additionally, in restriction to B-n(N), it has a dense set of strictly temporally periodic points. The construction guarantees the strong transitivity of (B-n(Z), F-n), and it is based on the cellular automaton (B-N, F) with radius r = 1, defined for any prime number p. We have proved in our previous paper that (B-N, F) is non-injective, chaotic in Devaney sense, has no fixed points but has continuum of period-two points and topological entropy log(p). In this paper we prove that it has the remaining mentioned properties of (B-n(N), F-n).