2013/04/09 by Maria Ramirez-Solano, Ramirez-Solano, Maria
Computer Science · Materials Science · Mathematics · #46L55 #52C20 #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA) #Point processes and geometric inequalities #Quasicrystal Structures and Properties #Topological and Geometric Data Analysis #math.DS #math.OA #msc:46L55 #msc:52C20
paper · pdf · doi:10.48550/arxiv.1304.2652
arxiv created 2013/04/09 · openalex publication_date 2013/04/09 · arxiv updated 2013/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the article "Construction of the continuous hull for the combinatorics of a regular pentagonal tiling of the plane" we constructed a compact topological space for the combinatorics of "A regular pentagonal tiling of the plane", which we call the continuous hull. We also constructed a substitution map on the space which turns out to be a homeomorphism, and so the pair given by the continuous hull and the substitution map yields a dynamical system. In this paper we show how we can write this dynamical system as another dynamical system given by an inverse limit and a right shift map.