Properties of Böröczki tilings in high dimensional hyperbolic spaces
Abstract
Description
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
17 pages, 3 Figures, corrected several typos, revised proofs