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Motion under Curvature

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Visit this site: http://math.berkeley.edu/~sethian/Movies/Moviecurvcollapse.html
Author:J. A. Sethian
Description: A paper and movie of a curvature collapse. A famous theorem in differential geometry, proved less than ten years ago, says that any simple closed curve moving under its curvature collapses nicely to a circle and then disappears. That is, no matter how wildly twisting a curve is, as long as it is simple, it will "relax" to a circle and then disappear.
Levels: High School (9-12), College
Languages: English
Resource Types: Video, Articles
Math Topics: Differential Geometry

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