# Rotation Index of Evolutes

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The evolute of a plane curve is the envelope of its normal lines. The evolute of a simple convex curve is closed and bounded, and its evolute has cusps corresponding to the vertices of the curve.

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Contributed by: Thomas Waters (June 2018)

Open content licensed under CC BY-NC-SA

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Reference

[1] T. Waters, "The Conjugate Locus on Convex Surfaces," *Geometriae Dedicata*, forthcoming. arxiv.org/abs/1806.00278.

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