English

Deltoid tangents with evenly distributed orientations and random tilings

Mathematical Physics 2019-10-16 v1 Combinatorics Metric Geometry math.MP

Abstract

We study the construction of substitution tilings of the plane based on certain simplicial configurations of tangents of the deltoid with evenly distributed orientations. The random tiling ensembles are obtained as a result of tile rearrangements in the substitution rules associated to edge flips.

Keywords

Cite

@article{arxiv.1910.06906,
  title  = {Deltoid tangents with evenly distributed orientations and random tilings},
  author = {Juan García Escudero},
  journal= {arXiv preprint arXiv:1910.06906},
  year   = {2019}
}

Comments

18 pages, 12 figures