Slopes of Tilings

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.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Emmanuel Jeandel, Pascal Vanier
• Keywords: CORR 2010, Education, Enumerable Sets, Rationals, Recursively