Date: Dec 20, 2012 10:20 PM
Author: Patrick D. Rockwell
Subject: Tetrahedron Formation.

If I break a stick into 6 pieces, what is the probability that they
can form a tetrahedron?

In general, if I break a stick into (n*n+n)/2 pieces, what is the
probability that they can form an n-simplex?

I know that the longest piece must be no more than 0.5 of the lengh of
the original unbroken stick.

Thanks in advance.