English

Substitution tilings with statistical circular symmetry

Metric Geometry 2007-05-23 v1

Abstract

Two new series of substitution tilings are introduced in which the tiles appear in infinitely many orientations. It is shown that several properties of the well-known pinwheel tiling do also hold for these new examples, and, in fact, for all substitution tilings showing tiles in infinitely many orientations.

Keywords

Cite

@article{arxiv.0704.2521,
  title  = {Substitution tilings with statistical circular symmetry},
  author = {Dirk Frettlöh},
  journal= {arXiv preprint arXiv:0704.2521},
  year   = {2007}
}
R2 v1 2026-06-21T08:20:10.482Z