Armenian Journal of Mathematics, 9(1)
2017; 1–19
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The growing ratios of hyperbolic regular mosaics with bounded cells

L ́aszl ́o N ́emeth*

Received: 2024-12-18 · Published: 2017-06-09

© 2017 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
The growing ratios of hyperbolic regular mosaics with bounded cells
Author
L ́aszl ́o N ́emeth
Source journal
Armenian Journal of Mathematics, 9(1)
Published
2017-06-09
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/142

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.
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