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Old 07-14-2005, 10:56 PM
Nottom Nottom is offline
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Join Date: Feb 2003
Location: Hokie Country
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Default Re: Quick Rando Question : Fair Coin

I'd guess somewhere around 1/Sqrt(3)~0.577 times the diameter of the coin. Assuming the coin is dropped from a random position so that no rotational velocity is involved which would seriously bias a coin this think.

Brief Explanation (hard without a picture).

../// <-coin
.///
///
..^

OK imagine that is a think coin sitting on its corner. Now it should fall to the flat side if its center of mass is to the right of that little arrow, and fall to its edge if its to the left. Now to make it even the angle that the center of mass is directly above the corner, should be 60 degrees. This leaves 60 for the edge and 60 for each side.

A little bit of trig later leads to the thinkness being .577*diameter in order for that to happen.
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