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Message from discussion Variation of Buffon's Needle Problem
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Dan Cass  
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 More options Nov 2 2009, 4:23 pm
Newsgroups: sci.math
From: Dan Cass <dc...@sjfc.edu>
Date: Mon, 02 Nov 2009 11:23:42 EST
Local: Mon, Nov 2 2009 4:23 pm
Subject: Re: Variation of Buffon's Needle Problem
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> You may already know about Buffon's Needle Problem
> http://mathworld.wolfram.com/BuffonsNeedleProblem.html

> I am thinking about the following variation

> Find the probability that a needle of length "l" will
> land on a
> circle, given a floor with equally spaced Concentric
> circles at a
> distance "d" apart?

> Here is the drawing which I have made for my
> simulation
> http://i233.photobucket.com/albums/ee201/vcpandya/Need
> leProblem.jpg

So are the radii as suggested in your picture to be d,2d,3d,etc?
Seems like an interesting variation to me, but one problem I see is that of finiteness of a region.

If one takes the region as a square of sidelength N centered at (0,0) and then lets N->infinity,
the answer might differ from another choice of squares which are say of sidelength N with lower left corner at (0,0).


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