The growing ratios of hyperbolic regular mosaics with bounded cells

Authors

  • László Németh Institute of Mathematics of University of Sopron Bajcsy Zs. u. 4., 9400 Sopron, Hungary

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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Published

2017-06-09

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Section

Articles

How to Cite

The growing ratios of hyperbolic regular mosaics with bounded cells. (2017). Armenian Journal of Mathematics, 9(1), 1-19. https://armjmath.sci.am/index.php/ajm/article/view/142