Jon Totushek, NDSU

Math Club, March 06^th.

Title: "Sweet" Clyde's Inversion Theorem (a.k.a. Keeler's Theorem)

Abstract: In the Futurama episode "The Prisoner of Benda" the Professor has created a machine that allows two people to switch bodies. However, once two bodies have switched, they can not switch back. As the episode progresses, the Futurama characters all switch bodies and eventually nobody is in their own body. This raises the question: is there a way to get everybody back in their original bodies without swapping two bodies that have already swapped? If so, how many extra bodies are needed to make this possible? In this talk we will answer these questions by examining what is now known as Keeler's Theorem.