gamesofchance

Buffon’s Needles – A Computation of Pi

French mathematician named Georges Buffon devised a way to calculate pi based on probability. Buffon’s method begins with a uniform grid of parallel lines, a unit distance apart. If you drop a needle of length k < 1 on the grid, the probability that the needle falls across a line is 2k divided by pi. Thus the number of needles landing on the line divided by the total number of throws = 2k divided by pi. Knowing k we can now solve for pi. The more throws we make, the greater the accuracy.

Buffon casting needles on a hardwood floor

(the opening gambit of geometrical probability)

counting the number of times

the needle falls across the lines

working backwards to a solution of pi

(centuries of mathematicians later landing

on the cracks in his theory)

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This entry was published on February 27, 2012 at 2:51 am and is filed under Math, Pi. Bookmark the permalink. Follow any comments here with the RSS feed for this post.

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