English

Inductive Rotation Tilings

Metric Geometry 2014-12-18 v2

Abstract

A new method for constructing aperiodic tilings is presented. The method is illustrated by constructing a particular tiling and its hull. The properties of this tiling and the hull are studied. In particular it is shown that these tilings have a substitution rule, that they are nonperiodic, aperiodic, limitperiodic and pure point diffractive.

Keywords

Cite

@article{arxiv.1410.0592,
  title  = {Inductive Rotation Tilings},
  author = {Dirk Frettlöh and Kurt Hofstetter},
  journal= {arXiv preprint arXiv:1410.0592},
  year   = {2014}
}

Comments

15 pages, 9 figures, some minor errors removed

R2 v1 2026-06-22T06:11:47.039Z