We live on a 4 dimensional Pringle ( Non Euclidean Geometry and the shape of the Universe)

Everything we were taught in geometry falls apart if our universe is curved. This video is a friendly introduction to nonEuclidean geometry and how cosmologists used the Cosmic Microwave Background to calculate the curvature of our universe. This video is a submission to the second Summer of Math Exposition, some2. Hope you enjoy it If you want to try out some of the code used in the video, check out this notebook on Geodesics on a Pringle: Alperin, Hayes, Lang, Folding the Hyperbolic Crane : Euclid, Elements: Playfair s Axiom: Bolyai, The Science Absolute of Space: Liddle, An Introduction to Modern Cosmology: Olive, Peacock, BigBang Cosmology : Planck 2018 results: Image Credit NASA, WMAP Science Team.