English

Parallelogram tilings, Worms and Finite Orientations

Dynamical Systems 2012-02-22 v1 Metric Geometry

Abstract

This paper studies properties of tilings of the plane by parallelograms. In particular it is established that in parallelogram tilings using a finite number of shapes all tiles occur in only finitely many orientations.

Keywords

Cite

@article{arxiv.1202.4686,
  title  = {Parallelogram tilings, Worms and Finite Orientations},
  author = {Dirk Frettlöh and Edmund Harriss},
  journal= {arXiv preprint arXiv:1202.4686},
  year   = {2012}
}
R2 v1 2026-06-21T20:22:57.646Z