AlgTop16: Rational curvature of polytopes and the Euler number

We show that the total curvature of a polyhedron is equal to its Euler number. This only works with the rational formulation of curvature, using an analog of the turn angle suitable for the 2 dimensional sphere. This important modification to the theory is original with this lecture series!

This is the 16th lecture of this beginner's course in Algebraic Topology, given by N J Wildberger at UNSW.