The growing ratios of hyperbolic regular mosaics with bounded cells

Understand

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.