Ammann tilings: a classification and an application

Details Ammann tilings: a classification and an application Ammann tilings: a classification and an application

2011-12-13

arxiv.org/abs/1112.2896v2

Mathematics

Logic

Scientific paper

We propose a description of all Ammann tilings of a plane, a half-plane and a
quadrant. Using the description we show that there are continuum different
Ammann tilings of a plane and half-plane, but only three tilings of a quadrant.
It is well known that all Ammann tilings are aperiodic. We show how one can use
this fact to construct an aperiodic set of Wang tiles.

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