English

Colouring monohedral tilings: defects and grain boundaries

Combinatorics 2025-08-08 v4

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

Keywords

Cite

@article{arxiv.2301.10975,
  title  = {Colouring monohedral tilings: defects and grain boundaries},
  author = {Giedrius Alkauskas},
  journal= {arXiv preprint arXiv:2301.10975},
  year   = {2025}
}

Comments

15 pages, 23 figures

R2 v1 2026-06-28T08:20:57.935Z