Regular Homotopies in the Plane, Part 2

Duration: 19

Year Published: 1972

Creator: Educational Development Center

Format: 16mm

Color: Color

Description: Uses computer graphics to visually prove the converse of the Whitney-Graustein theorem proved in Part 1, namely that two regular curves with the same rotation number are regularly homotopic. Specifies conditions of the proof by general construction technique, constructs a graph of the tangent vector for each curve, and suggests procedures for constructing intermediate tangent vector graphs which, in turn, become the basis for the proof. Records the correspondence between the tangent vector graph and the deformation of the curve.

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