2019/07/10 by Maurice Margenstern, Margenstern, Maurice · 1 citation
Computer Science · Materials Science · Mathematics · #68R05 #Cellular Automata and Applications #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #Quasicrystal Structures and Properties #acm:68R05 #cs.DM #math.CO #msc:68R05 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1907.04677
35 pages, 6 figures
arxiv created 2019/07/10 · openalex publication_date 2019/07/10 · arxiv updated 2019/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this second paper, we look at the following question: are the properties of the trees associated to the tilings \p,4\ and \p+2,3\ of the hyperbolic plane still true if we consider a finitely generated tree by the same rules but rooted at a black node? The direct answer is no, but new properties arise, no more complex than in the case of a tree rooted at a white node, and worth of interest. The present paper is an extension of the previous paper: arXiv:1904.12135.