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 | | From: | Patrick D. Rockwell | | Subject: | Buffon Laplace Needle Problem. | | Date: | Mon, 24 Jan 2005 05:49:24 GMT |
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 | I found out that there is a Buffon Laplace Needle Problem which says that
if you drop a needle of length l on a grid of squares who's dimensions are
aXb
then the probability of the needle crossing a line is
(2*l*((a+b)-l^2)/(a*b) if l
but what about the cases where l>=a,b?
I believe that as long as the length of the needle is
<=(a^2+b^2)^0.5 then there is still a possibility
that it won't cross a line.
What about the 3 dimensional case, or the 4 dimensional
case where you have a matrix of cubes who'se dimensions are
aXbXcX.... and a needle of length l. how would you do something
like that?
Thanks in advance for any help.
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Patrick D. Rockwell
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