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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Rushton, Brian Craig, "Alternating Links and Subdivision Rules" (2009). Theses and Dissertations. 1840.
geometry, subdivision, knot, link, alternating, platonic, radial