**UM Math Graduate Students Seminar**

Dr. Drew Armstrong

* University of Miami *

**will present**

**Pascal's Mystic Hexagram **

Friday, February 28, 2013, 2:30pm

Ungar Building Room 506

**Abstract:** When Blaise Pascal was 16 years old he published the following remarkable theorem. Consider any conic section in the plane (for example a circle). Choose any six points on the conic and connect them in any way as a hexagon (possibly self-intersecting). If you extend the three pairs of opposite sides of the hexagon they will meet at three collinear points (see the picture). I will explain the best way to prove Pascal's theorem. It involves complex numbers and points at infinity.