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The Lonely Vertex Problem
D. Frettlöh, A. Glazyrin
In a locally finite tiling of n-dim Euclidean space by convex polytopes, each point of the space is either a vertex of at least two tiles, or no vertex at all.
math.MG2007
Properties of Böröczki tilings in high dimensional hyperbolic spaces
N. Dolbilin, D. Frettlöh
We consider families of Böröczky tilings in hyperbolic space in arbitrary dimension, study some basic properties and classify all possible symmetries. In particular, it is shown th…
math.MG2007
Substitution tilings with statistical circular symmetry
Dirk Frettlöh
Two new series of substitution tilings are introduced in which the tiles appear in infinitely many orientations. It is shown that several properties of the well-known pinwheel tili…