March 18th, 2018, 05:12 PM  #1 
Newbie Joined: Mar 2018 From: UK Posts: 3 Thanks: 0  Interactive sphere eversion
I have put an interactive model of the deNeve/Hills sphere eversion at http://chrishills.org.uk/sphereeversion/interactive/. You can clickanddrag 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 
March 18th, 2018, 06:04 PM  #2 
Senior Member Joined: Aug 2012 Posts: 1,887 Thanks: 525 
I've only heard of Smale's sphere eversion. Is deNeve/Hills related or different?

March 21st, 2018, 02:43 AM  #3 
Newbie Joined: Mar 2018 From: UK Posts: 3 Thanks: 0 
Smale showed in 1958 that sphere eversions are possible. Several different eversions have been discovered since then  see www.chrishills.org.uk/sphereeversion 

Tags 
eversion, interactive, smale, sphere 
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