"A new, different world: Some non-Euclidean geometries"
featuring Dr. Hanna Bennett

On September 28, 2013, UT's Dr. Hanna Bennett led the Saturday Morning Math Group in an exploration of non-Euclidean geomtries. The session began with a bit of mathematical history, starting with Euclid's postulates and continuing with the later work of Bolyai and Gauss in geometry without Euclid's parallel postulate. Students then delved into non-Euclidean geometry themselves, experimenting with beach balls to study shortest paths on spheres, and other aspects of sphereical geometry. After some discoveries about how lines, angles, circles work on the surface of a sphere, the group moved on to look at hyperbolic space, using paper to create their own hyperbolic soccer ball models!

Printable version of the flyer

Videos from the talk: Dr. Hanna Bennett, September 28, 2013,

Handouts and slides from the talk:

• Slides
• Non-Euclidean Geometry
• Soccer Ball Instructions
• Soccer Ball Template

Here are some pictures from the talk. Right click and select 'view image' to see it larger.