Slopes of Tilings

Details Slopes of Tilings Slopes of Tilings

2010-12-03

arxiv.org/abs/1012.1330v1

Computer Science

Discrete Mathematics

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

Scientific paper

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.

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