Properties of Böröczki tilings in high dimensional hyperbolic spaces
arXiv:0705.0291
Abstract
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 that these tilings are non-crystallographic, and that there are uncountably many tilings with a fixed prototile.
17 pages, 3 Figures, corrected several typos, revised proofs