English

Direct Construction of Aperiodic Tilings with the Hat Monotile

Combinatorics 2023-06-13 v1

Abstract

In 2023, the quest for an aperiodic monotile was answered by the hat monotile. In this article, structures in this aperiodic tiling are discovered, which allow for a direct computation of the tiling, similar to well-known methods for the Penrose tilings.

Keywords

Cite

@article{arxiv.2306.06512,
  title  = {Direct Construction of Aperiodic Tilings with the Hat Monotile},
  author = {Ulrich Reitebuch},
  journal= {arXiv preprint arXiv:2306.06512},
  year   = {2023}
}

Comments

19 pages, 20 figures