Generating Functions for Hyperbolic Plane Tessellations
Loading...
Date
2017-08-28
Authors
Xie, Jiale
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
For a hyperbolic plane tessellation there is a generating function with respect to the distance.
This generating function is the same as the growth function of a group of isometries
of hyperbolic plane that acts regularly in the tessellation. For most of the tessellation the
generating functions have a symmetric form. In this thesis we will show the computation
of the generating function for the hyperbolic plane tessellation and find the tessellations
that have a symmetric form in the generating functions.