Properties of B\"or\"oczki tilings in high dimensional hyperbolic spaces
Metric Geometry
2008-03-14 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0705.0291,
title = {Properties of B\"or\"oczki tilings in high dimensional hyperbolic spaces},
author = {N. Dolbilin and D. Frettlöh},
journal= {arXiv preprint arXiv:0705.0291},
year = {2008}
}
Comments
17 pages, 3 Figures, corrected several typos, revised proofs