English

Slopes of Tilings

Discrete Mathematics 2010-12-08 v1 Computational Complexity Formal Languages and Automata Theory

Abstract

We study here slopes of periodicity of tilings. A tiling is of slope if it is periodic along direction but has no other direction of periodicity. We characterize in this paper the set of slopes we can achieve with tilings, and prove they coincide with recursively enumerable sets of rationals.

Keywords

Cite

@article{arxiv.1012.1330,
  title  = {Slopes of Tilings},
  author = {Emmanuel Jeandel and Pascal Vanier},
  journal= {arXiv preprint arXiv:1012.1330},
  year   = {2010}
}

Comments

Journ\'ees Automates Cellulaires 2010, Turku : Finland (2010)

R2 v1 2026-06-21T16:54:25.947Z