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math.MG2008
A Local Characterization of Combinatorial Multihedrality in Tilings
Nikolai Dolbilin, Egon Schulte
A locally finite face-to-face tiling of euclidean d-space by convex polytopes is called combinatorially multihedral if its combinatorial automorphism group has only finitely many o…
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…