William Young is a first-year graduate student at Vanderbilt Univesity. His research for this paper was done at Wabash College for an REU while an undergraduate at Purdue University in the summer of 2007. He presented portions of it at the joint meeting of the AMS and MAA in January 2008. William's non-mathematical interests include the Supreme Court, philosophy, and anthropology.

Faculty Sponsor: Mike Axtell, Professor of Mathematics, University of St. Thomas