The growing ratios of hyperbolic regular mosaics with bounded cells
Metric Geometry
2017-12-22 v1 Combinatorics
Abstract
In 3- and 4-dimensional hyperbolic spaces there are four, respectively five, regular mosaics with bounded cells. A belt can be created around an arbitrary base vertex of a mosaic. The construction can be iterated and a growing ratio can be determined by using the number of the cells of the considered belts. In this article we determine these growing ratios for each mosaic in a generalized way.
Cite
@article{arxiv.1705.02648,
title = {The growing ratios of hyperbolic regular mosaics with bounded cells},
author = {László Németh},
journal= {arXiv preprint arXiv:1705.02648},
year = {2017}
}
Comments
17 pages, 3 figures