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math.COJan 1, 2023
authors
  • Giedrius Alkauskas
institutions
  • Vilnius University
  • Vilnius University of Applied Sciences
arXiv abstractPDF
paper

Colouring monohedral tilings: defects and grain boundaries

arXiv:2301.10975 · doi:10.1007/s00283-025-10418-w

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

15 pages, 23 figures

References in corpus (3)

  • An aperiodic hexagonal tile
  • An aperiodic monotile
  • A Coloring Book Approach to Finding Coordination Sequences
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