English

3D permutations and triangle solitaire

Combinatorics 2025-04-18 v2

Abstract

We provide a bijection between a class of 3-dimensional pattern avoiding permutations and triangle bases, special sets of integer points arising from the theory of tilings and TEP subshifts. This answers a conjecture of Bonichon and Morel.

Keywords

Cite

@article{arxiv.2502.14657,
  title  = {3D permutations and triangle solitaire},
  author = {Juliette Schabanel},
  journal= {arXiv preprint arXiv:2502.14657},
  year   = {2025}
}

Comments

17 pages, 15 figures