In differential topology, sphere eversion is the process of tur... - dofaq.co
sphere eversion

In differential topology, sphere eversion is the process of tur...

wikipedia - 01 Sep 2015
In differential topology, sphere eversion is the process of turning a sphere inside out in a three-dimensional space. (The word eversion means "turning inside out".) Remarkably, it is possible smoothly and continuously to turn a sphere inside out in this way (with possible self-intersections) without cutting or tearing it or creating any crease. This is surprising, both to non-mathematicians and to those who understand regular homotopy, and can be regarded as a veridical paradox; that is something th

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