The Ammann-Beenker tilings revisited
classification
🧮 math.CO
cs.DM
keywords
tilingsammann-beenkerfamilycontainsdigitizationeuclideanformfour-dimensional
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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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