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Winding number

The term winding number may also refer to the rotation number of an iterated map.
In mathematics, the winding number of a closed curve in the plane around a given point is an integer representing the total number of times that curve travels counterclockwise around the point. The winding number depends on the orientation of the curve, and is negative if the curve travels around the point clockwise.

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This video is the second of two which shows how mathematicians were able to theoretically turn a sphere inside out.

Contributed by David Hamilton

This video is the first of two which shows how mathematicians were able to theoretically turn a sphere inside out.

Contributed by David Hamilton

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