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Turning a Sphere Inside Out
- 1976 ----- color ----- 23 min ----- 16mm
- Opens with a discussion of the problem of turning a sphere inside out by passing the surface through itself without making any holes or creases. In 1958 Stephen Smale, by complicated mathematical inductions, proved that it could be done. However, no one could visualize it. Eventually, several people invented homotopies that would work. The one in this film was developed by Bernard Morin, a blind mathematician. The homotopy is illustrated with a sequence of models showing the crucial stages in the motion. Closes with several different sequences of advanced computer animation revealing the continuous motion of the sphere.
- Topics: (Computer Sciences, Mathematics)
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