The Libraries will be performing routine maintenance on UWSpace on October 20th, 2025, from 10:00-10:30 pm ET. UWSpace will be unavailable during this time. Service should resume by 10:30 pm ET.
 

Generating Functions for Hyperbolic Plane Tessellations

Loading...
Thumbnail Image

Date

2017-08-28

Authors

Xie, Jiale

Advisor

Wagner, David

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.

Description

Keywords

LC Subject Headings

Citation