English

A computer search for planar substitution tilings with n-fold rotational symmetry

Metric Geometry 2015-10-06 v1 Combinatorics

Abstract

We describe a computer algorithm that searches for substitution rules on a set of triangles, the angles of which are all integer multiples of {\pi}/n. We find new substitution rules admitting 7-fold rotational symmetry at many different inflation factors.

Keywords

Cite

@article{arxiv.1404.5193,
  title  = {A computer search for planar substitution tilings with n-fold rotational symmetry},
  author = {Franz Gähler and Eugene E. Kwan and Gregory R. Maloney},
  journal= {arXiv preprint arXiv:1404.5193},
  year   = {2015}
}

Comments

21 pages, 10 figures