Colouring monohedral tilings: defects and grain boundaries

2023/01/26 by Giedrius Alkauskas, Alkauskas, Giedrius
Computer Science · Materials Science · #05B45 #52C20 #52C23 #Cellular Automata and Applications #Combinatorics (math.CO) #FOS: Mathematics #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2301.10975

openalex publication_date 2023/01/26 · openalex created_date 2023/01/28 · openalex updated_date 2026/07/28

Abstract

In this paper it is proved that there exist periodic monohedral tilings and finite seeds of colored tiles, which force non-periodic coloring of the whole plane

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