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.
![](/sites/all/themes/cas7/images/untbanner.png)
Thinking about UNT?
It's easy to apply online. Join us and discover why we're the choice of over 46,000 students.
Apply now