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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?

Source:Crux Mathematicorum, December 1996, proposed by "Proof."

[The problem name (my fault) refers to Prince Rupert's cube. -Jeff]© Copyright 1997 Stan Wagon. Reproduced with permission.

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2 October 1998