Discrete Geometry: Integer Polytopes - Steve Trettel

Event Date: 

Wednesday, February 18, 2015 -
2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Event Price: 

Free

Event Contact: 

Michael Dougherty

Email: dougherty@math.ucsb.edu

  • Discrete Geometry Seminar

A square can easily be drawn in the plane so that its vertices have integer coordinates, but a short argument shows this to be impossible for the equilateral triangle (which however, can be drawn in R^3 with integer points for vertices).  In this talk we will see which polytopes are able to be embedded in some R^k so that all of their vertices are integer points.