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/
BYU ScholarsArchive Citation
Rushton, Brian Craig, "Alternating Links and Subdivision Rules" (2009). Theses and Dissertations. 1840.
https://scholarsarchive.byu.edu/etd/1840
Date Submitted
2009-03-12
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd2815
Keywords
geometry, subdivision, knot, link, alternating, platonic, radial
Language
English