Jessica Striker, NDSU

Math Club, February 27^th, 2015.

Title: Polytopes - points or planes?

Abstract: Polytopes are n-dimensional geometric objects analogous to polygons. In this talk, we’ll play with definitions of polytopes in terms of points and planes, explore a famous theorem of Birkhoff and Von Neumann, and look at more recent examples of polytopes. Even though it’s hard to visualize geometric objects in dimensions higher than three, it turns out that with the right mathematical tools, we can give a beautiful description.