The group that made this is The Geometry Center at The University of Minnesota: <a href="http://www.geom.uiuc.edu/" rel="nofollow">http://www.geom.uiuc.edu/</a><p>Another one of their videos is "Not Knot": <a href="http://www.youtube.com/watch?v=AGLPbSMxSUM" rel="nofollow">http://www.youtube.com/watch?v=AGLPbSMxSUM</a><p>But I can't find a link to their latest video, called "The Shape of Space".<p>This was made in 2004. I wonder how much easier it would be to do this with 16 years of advances in 3d modeling?<p>I wish it were more common...
That was great, the only thing missing was why. I am sure there are some interesting applications of the principles they explored and I would have loved to have heard a few at the end. Feel free to fill me in.
Rob Kusner over at UMass did work on optimal sphere eversions -- pretty interesting:<p><a href="http://en.wikipedia.org/wiki/Minimax_eversion" rel="nofollow">http://en.wikipedia.org/wiki/Minimax_eversion</a>