Abstract

The study of geometric group theory has suggested several theorems related to subdivision tilings that have a natural hyperbolic structure. However, few examples exist. We construct subdivision tilings for the complement of every nonsingular, prime alternating link and all torus links, and explore some of their properties and applications. Several examples are exhibited with color coding of tiles.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2009-03-12

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd2815

Keywords

geometry, subdivision, knot, link, alternating, platonic, radial

Included in

Mathematics Commons

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