The Banach-Tarski Paradox | Department of Mathematics

The Banach-Tarski Paradox

Event Information
Event Location: 
GAB 461
Event Date: 
Wednesday, October 30, 2013 - 3:30pm

We will take the unit ball in R^3, cut it into pieces, and with only rigid transformations, reform those pieces into two unit balls. Often maligned as a paradox, we will see that the Banach-Tarski theorem really occurs quite naturally, and actually has more to do with certain matrix groups than about the volume of three dimensional objects.