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.
-
If P0P1 is of length 1, find the
distance between the skew lines P0P1
and PnPn+1.
-
Find the angle between the skew lines
P0P1
and PnPn+1.
Source: H.S.M. Coxeter
The solution will be posted shortly.
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