Title page for ETD etd-05082008-175931

Type of Document Master's Thesis
Author Wilkerson, Mary Elizabeth
URN etd-05082008-175931
Title Circle Packing in Euclidean and Hyperbolic Geometries
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Floyd, William J. Committee Chair
Haskell, Peter E. Committee Member
Thomson, James E. Committee Member
  • Circle Packings
  • Uniform Neighbor Model
Date of Defense 2008-04-29
Availability unrestricted
Given a graph that defines a triangulation of a simply connected surface, it is possible to associate a radius with each vertex so that the vertices represent centers of circles, and the edges denote patterns of tangency. Such a configuration of circles is called a circle packing. We shall give evidence for the existence and uniqueness of circle packings generated by such graphs, as well as an explanation of the algorithms used to find and output a circle packing on the complex plane and hyperbolic disc.
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