DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

Co-organizers:

Matthew Russell, Rutgers University, russell2 {at} math [dot] rutgers [dot] edu)

Doron Zeilberger, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

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

Abstract:

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.

See: http://www.math.rutgers.edu/~russell2/expmath/