Rational Curvature of Polytopes and the Euler Number 
Rational Curvature of Polytopes and the Euler Number
by UNSW / N.J. Wildberger
Video Lecture 17 of 26
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Date Added: July 28, 2011

Lecture Description

In this video lecture, Prof. N.J. Wildberger talks about 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.

Course Index

Course Description

In this course, Prof. N.J. Wildberger gives 26 video lectures on Algebraic Topology.  This is a beginner's course in Algebraic Topology given by Assoc. Prof. N J Wildberger of the School of Mathematics and Statistics, UNSW. It features a visual approach to the subject that stresses the importance of familiarity with specific examples. It also introduces 'rational curvature', a simple but important innovation. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.

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