Slopes of Tilings
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2010
- DOI:
- 10.48550/arXiv.1012.1330
- arXiv:
- arXiv:1012.1330
- Bibcode:
- 2010arXiv1012.1330J
- Keywords:
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- Computer Science - Discrete Mathematics;
- Computer Science - Computational Complexity;
- Computer Science - Formal Languages and Automata Theory
- E-Print:
- Journ\'ees Automates Cellulaires 2010, Turku : Finland (2010)