Problem #58

Construct an infinite sequence of reglar tetrahedra (sometimes referred to as a tetrahelix) so that the points P0, P1, P2, ... are all distinct and P0P1P2 P3, P1P2P3 P4, P2P3P4 P5,... are all regular tetrahedra.

Source: H.S.M. Coxeter

The solution will be posted shortly.

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