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Prince Rupert's Tetrahedron (Posted on 2013-07-21) Difficulty: 3 of 5
Can you find a tetrahedron T contained inside a tetrahedron W such that the sum of the lengths of the edges of T is bigger than the sum of the lengths of the edges of W?

No Solution Yet Submitted by Danish Ahmed Khan    
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2-d solution Comment 1 of 1
I don't see how this is possible for tetrahedra, it certainly is not possible for triangles:

A triangle T contained in triangle W can be enlarged/rotated so that its 3 vertices lie on the sides of W.  The triangle inequality assures that the perimeter if T is smaller than that of W.

  Posted by Jer on 2013-07-27 14:36:39
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