Generating Functions for Hyperbolic Plane Tessellations
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.
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Cite this version of the work
Jiale Xie
(2017).
Generating Functions for Hyperbolic Plane Tessellations. UWSpace.
http://hdl.handle.net/10012/12233
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