Shifting attention from the plane to the sphere and torus, we extend the study of pseudo-triangulations. Planar representations of each surface are used. A number of theorems and concepts are taken from the plane and applied to the sphere and torus not only for pseudo-triangulations but for triangulations as well. We found the number of edges and faces in a triangulation on n vertices in the plane, on the sphere and on the torus.
| Identifer | oai:union.ndltd.org:wpi.edu/oai:digitalcommons.wpi.edu:etd-theses-1162 |
| Date | 14 February 2008 |
| Creators | Potter, John R |
| Contributors | Brigitte Servatius, Advisor, , |
| Publisher | Digital WPI |
| Source Sets | Worcester Polytechnic Institute |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Masters Theses (All Theses, All Years) |
Page generated in 0.002 seconds