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Suppose there is a square each of side $a$. I want to fill the square with circle of radius $r$. How many overlapping circles are needed to fill up the square?

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    exactly filling it up is not possible i guess, it becomes a quite tedious calculation ain't it?2011-12-27
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    anyway related to this - http://stackoverflow.com/questions/7946152/ideas-for-an-algorithm-for-random-distribution-of-circles-in-a-square ?2011-12-27
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    There probably is no "nice" exact formula for arbitrary a and r, but an overlapping hexagonal cover will be asymptotically optimal.2011-12-27
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    Thank you very much for answers.2012-01-02

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