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AlgTop11a: Rational curvature, winding and turning

This video introduces an important re-scaling of curvature, using the natural geometric unit rather than radians or degrees. We call this the turn-angle, or tangle, and use it to describe polygons, convex and otherwise. We also introduce winding numbers and the turning number of a planar curve.This is the first video of the 11th lecture in this beginner's course on Algebraic Topology, given by Assoc Prof N J WIldberger at UNSW.NOTE: This entire series is now available in the full (hour long lectures), also at this channel under the playlist AlgTop (full lectures):http://www.youtube.com/playlist?list=PL6763F57A61FE6FE8&feature=view_all
Length: 09:56

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