## Equidistant Sets |

**Mark Huibregtse**

Skidmore College

May 18, 2015

5:00 pm

Bailey Hall 207

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

Given two subsets A and B of the plane, theequidistant setdetermined by A and B is the locus of points equidistant from the two sets (which are called thefocal 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.

Union College Math Department Home PageComments to: math@union.edu Created automatically on: Tue Oct 23 16:37:06 EDT 2018 |