Smale's paradox
In differential topology, Smale's paradox states that it is possible to turn a sphere inside out in 3-space with possible self-intersections but without creating any crease, a process often called sphere eversion.
References
- Max Nelson, "Turning a Sphere Inside Out", International Film Bureau, Chicago, 1977 (video)
- Anthony Phillips, "Turning a surface inside out, Scientific American, May 1966, pp. 112-120.
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