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March 18th, 2018, 05:12 PM   #1
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Interactive sphere eversion

I have put an interactive model of the deNeve/Hills sphere eversion at http://chrishills.org.uk/sphereeversion/interactive/. You can click-and-drag to change the viewpoint, drag the Zoom slider to change the zoom, and drag the AnimationSpeed slider to speed up and slow down the animation.

Various people have found other ways of turning a sphere inside out, but I find them very difficult to follow. With this interactive model you can zoom in on any areas that aren't clear, view them from different angles, watch them in slow motion, or drag the ControlValue slider to view the eversion at any stage.

There is also a video at .

Chris Hills
Cambridge UK
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March 18th, 2018, 06:04 PM   #2
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I've only heard of Smale's sphere eversion. Is deNeve/Hills related or different?
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March 21st, 2018, 02:43 AM   #3
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Smale showed in 1958 that sphere eversions are possible. Several different eversions have been discovered since then - see www.chrishills.org.uk/sphereeversion
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