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Problem of the Week 834

Prince Rupert's Tetrahedra?

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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.