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Re: Simplex construction
Posted:
Nov 21, 2013 3:28 PM


> If you break a stick into six randomly sized pieces, > what is the probability that they will form a > tetrahedron? > > Can you do it for (n*nn)/2 pieces to form an n > simplex? So far, the only thing that I have to go on > is > That the largest piece can't be longer than the total > length of the other pieces as would be true if we > were building a triangle (2 simplex). Thanks in > advance for any help.
Hi Patrick,
by numeric experiments I obtained following values:
p(2) = 0.25 = 1/4 , p(3) = 0.0666 ~ 1/4^2 , p(4) = 0.01773 ~ 1/4^3 , p(5) = 0.004776 ~ 1/4^4 .
Hope this helps, Avni



