Date: Dec 22, 2012 9:54 PM
Author: Patrick D. Rockwell
Subject: Simplex Formation
If I break a stick into six random sized pieces, what is the

probability that I can use them to form a tetrahedron

(regular or otherwise)?

In general, if I break a stick into (N*N+N)/2 random pieces, what is

the probability that I can use them to form an N

simplex(regular or otherwise)?

I know that the largest piece can't be more that 0.5 of the lengh of

the original stick as is true with the

traditional broken stick problem.

Thanks in advance.