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Simplex Formation
Posted:
Dec 22, 2012 9:54 PM


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.



