Strange Pattern in symmetries - Bott periodicity

A strange repeating pattern in the symmetries of circles, spheres and higher dimensional spheres called Bott periodicity. We will learn about symmetries of spheres, homotopy groups, the orthogonal groups and, finally, Bott periodicity. Produced by Connect films #SoME1 #3b1b 00:00 Introduction 00:57 Symmetries of Spheres 04:17 Homotopy Groups 09:28 Loops of Symmetries 11:23 Bott periodicity 13:53 Summary