801 citations
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Showing 2007 · math.MGShow all
3 papers · 2 filters
math.MG2007★ 1 cited
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★ 25 cited
Coincidence rotations of the root lattice
Michael Baake, Uwe Grimm, Manuela Heuer +1
The coincidence site lattices of the root lattice are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in ter…
math.MG2007
Self-dual tilings with respect to star-duality
Dirk Frettlöh
The concept of star-duality is described for self-similar cut-and-project tilings in arbitrary dimensions. This generalises Thurston's concept of a Galois-dual tiling. The dual til…