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math.DS2012★ 18 cited
Dynamical properties of almost repetitive Delone sets
Dirk Frettlöh, Christoph Richard
We consider the collection of uniformly discrete point sets in Euclidean space equipped with the vague topology. For a point set in this collection, we characterise minimality of a…
math.DS2012
Parallelogram tilings, Worms and Finite Orientations
Dirk Frettlöh, Edmund Harriss
This paper studies properties of tilings of the plane by parallelograms. In particular it is established that in parallelogram tilings using a finite number of shapes all tiles occ…