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The Ammann-Beenker tilings revisited

Published 17 Aug 2012 in math.CO and cs.DM | (1208.3545v1)

Abstract: This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclidean space. This family contains the Ammann-Beenker tilings as the solution of a simple optimization problem.

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