English

Observations on the hex clusters of the Spectre tilings

Combinatorics 2024-12-02 v1 Metric Geometry

Abstract

Decorating the Spectre tile with hexagons reveals triangular hexagonal clusters whose structure we study. In the process we reprove that the Spectre tilings exist and are uniquely hierarchical. The proof is not computer-assisted.

Keywords

Cite

@article{arxiv.2407.05359,
  title  = {Observations on the hex clusters of the Spectre tilings},
  author = {Arnaud Chéritat},
  journal= {arXiv preprint arXiv:2407.05359},
  year   = {2024}
}

Comments

136 pages, 238 figures