- Paths in Euclidean Space
This handout proves that in euclidean space a straight line is the shortest path between two points and that the path metric for subsets of euclidean space is a metric. - Sup Metric and Euclidean Metric
This handout proves that the identity map from R^2 with the euclidean metric to R^2 with the sup metric is a homeomorphism. - The Grasshopper Metric
This handout proves that the grasshopper metric on the surface arising from gluing edges of a euclidean polygon is well-behaved. - The Figure 8 knot complement
These slides show how to decompose the figure 8 knot complement into two tetrahedra with their vertices removed. - Special Relativity and Hyperbolic Geometry
These slides give some idea of the relationship between special relativity and hyperbolic geometry. (Based on a book by Woodhouse) - Trees and Hyperbolic Geometry
These slides show how a problem from computer science can be solved using hyperbolic geometry. (Based on a paper of Sleator, Tarjan, and Thurston)