We normally think of space as more or less Euclidean. Straight lines are infinite; they cross maybe once, if that. Mathematicians spent almost 2000 years trying to prove that this is the only kind of space that can possibly exist. Instead they eventually found that there are non-Euclidean spaces that are logically, perfectly consistent. I wrote a program to simulate living in a non-Euclidean space, where space may not be infinite, where the corners of a triangle might not add up to 180 degrees, and where one might step through holes in the fabric of reality itself. I’ll discuss and demonstrate the process and mathematics of creating and binding virtual scenery and a camera to a multidimensional manifold with a three dimensional surface. Level of technicality may be varied as audience interest dictates. Awesome visuals guaranteed.

**Matthew Ewer, ’12 **

Gilbert, AZ

Majors: Computer Science, Mathematics and Statistics

Sponsor: Stephen Bean