Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Ptolemy-like Theorems in the Minkowski Plane
Speaker: Matthew Russell, Rutgers University
Date: Thursday, March 6, 2014 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
Ptolemy's theorem is a classical result that gives a formula relating the side lengths and diagonals of cyclic quadrilaterals. More generally, there are theorems that do the same for cyclic polygons. It has previously been shown that these theorems still hold (with appropriate modifications) in spherical and hyperbolic geometries. In this talk, we will examine the appropriate analogues of these theorems in the Minkowski plane, along with the Maple experimentation that aided the discovery process.
Joint work with Ed Chien.