This is not new, but it’s one of the very best math videos on the inter-tubes. It’s designed by Bill Thurston, who’s known not only for his mathematical talent (winning him a Fields medal), but for his incredible ability to teach.
The video is about Thurston’s technique for everting a sphere. But the real gems are the little visual techniques (complete with sound effects), so important for this kind of mathematics. Thurston’s video not only makes them accessible, but provides a rare peek into the mind of one of the greatest mathematicians of our time.
See also my note on the history of sphere eversion, and on a more efficient method; you might also try this software from the Geometry Center, which provides an even more hands on experience of turning a sphere inside out. Enjoy!
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