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Equidistant Sets

by

Mark Huibregtse
Skidmore College

May 18, 2015
5:00 pm
Bailey Hall 207

Refreshments will be served in Bailey Hall 204 4:45pm


Abstract:

Given two subsets A and B of the plane, the equidistant set determined by A and B is the locus of points equidistant from the two sets (which are called the focal sets). For example, the equidistant set determined by two points P, Q in the plane is the perpendicular bisector of the segment PQ. In the summer of 2014, a student (Adam Winchell) and I did a summer research project on equidistant sets. We were motivated by an article that had recently appeared in the January 2014 issue of the American Mathematical Monthly: On Equidistant Sets and Generalized Conics: The Old and the New, by Mario Ponce and Patricio Santibāņez. In the talk, I will report on the questions we considered and the answers we found. Along the way we will consider several (hopefully) interesting examples.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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