Problem #58
Construct an infinite sequence of reglar tetrahedra (sometimes referred
to as a tetrahelix) so that the points P_{0},
P_{1}, P_{2}, ... are all distinct and
P_{0}P_{1}P_{2}
P_{3},
P_{1}P_{2}P_{3}
P_{4},
P_{2}P_{3}P_{4}
P_{5},... are all regular tetrahedra.

If P_{0}P_{1} is of length 1, find the
distance between the skew lines P_{0}P_{1}
and P_{n}P_{n+1}.

Find the angle between the skew lines
P_{0}P_{1}
and P_{n}P_{n+1}.
Source: H.S.M. Coxeter
The solution will be posted shortly.
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