Properties of Böröczki tilings in high dimensional hyperbolic spaces

Details Properties of Böröczki tilings in high dimensional hyperbolic spaces Properties of Böröczki tilings in high dimensional hyperbolic spaces

2007-05-02

arxiv.org/abs/0705.0291v2

Mathematics

Metric Geometry

17 pages, 3 Figures, corrected several typos, revised proofs

Scientific paper

We consider families of B\"or\"oczky tilings in hyperbolic space in arbitrary
dimension, study some basic properties and classify all possible symmetries. In
particular, it is shown that these tilings are non-crystallographic, and that
there are uncountably many tilings with a fixed prototile.

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