Report of computer experiments on the Rauzy fractals (Algebraic system, Logic, Language and Related Areas in Computer Sciences II)

Abstract

For a Pisot primitive unimodular substitution over the alphabet A with d letters, a substitution dynamical system consisting of a subset of the full A shift and a shift map is constructed. And we obtain d - 1 dimensional domain, so called the Rauzy fractals as a geometrical realization of the substitution dynamical system. The authors conducted computer experiments to observe geometrical properties of the Rauzy fractals. In this report, examples of the Rauzy fractals are given.