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## Money money

I am thoroughly enjoying Jordan Ellenberg’s “How not to be wrong”. This small post is some fun looking at Buffon’s coin puzzle. This shows a sample of twenty coins of varying radius relative to the underlying square. The fair game arises when the radius to length of square side is $\frac{1}{4+2\sqrt{2}}\approx 0.15$. The fraction in the boxes are the observed number of coins in the square and the predicted fraction. The value below the  box is the ratio of radius to square length.