AlgTop16b: Rational curvature of polytopes and Euler's formula (cont.)
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 is the second video in the 16th lecture of this beginner's course in Algebraic Topology, given by N J Wildberger at UNSW.
Length:
10:20