Playing billiards with Pi

Abstract: 

Mathematical billiards has been a playground for various topics within geometry and dynamical systems for the last 100 years. In this talk, we give an introduction to mathematical billiards and explore the importance of counting collisions in a billiard system. We show that by simply following the laws of physics we can use a billiard system to produce the first N digits of pi for any natural number N. Further, we will also cover some theorems regarding collisions in a billiard system and extend this technique to linear point billiards.