Hi everyone! My name is Kara Paradowski and I will be giving my 480 presentation on Wednesday April 7, 2021 at 2:10 PM via zoom.  I hope you all can attend!  Here is a quick description of what I am going to cover in my talk.

There are many types of geometry that we study, and one that we briefly talked about was hyperbolic geometry.  So, I am going to dive more into that, more specifically, distance in hyperbolic geometry. 

Prior knowledge on geometry is not needed but may be helpful.  I’ll touch on main points of hyperbolic geometry to catch you up to speed, then I’ll go over important models that play a role into finding the distance, the formulas, (yes, there are multiple), and then calculate the distance by using one of them. 

Objectives:

  • Understand similarities and differences between Euclidean and Hyperbolic Geometry
  • Learn about the history of hyperbolic geometry
  • Learn about the Beltrami-Klein and Poincare Disc Model
  • Learn about finding distance in hyperbolic geometry

Hope to see everyone Wednesday!