Cube to tetrahedron

Puzzle

Cut cube in two pieces from which tetrahedron can be assembled.

Comments

This puzzle came to my mind around 1996 and about that time I also found a solution. I do not know if anybody else discovered this puzzle before or after that date. Probably, I am not the first, but it is possible.

By the way, this puzzle has (almost) nothing to do with the third Hilbert problem.

Solution

Solution is here
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