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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? – Bhargav Dec 27 '11 at 16:50
anyway related to this -… ? – Bhargav Dec 27 '11 at 16:53
There probably is no "nice" exact formula for arbitrary a and r, but an overlapping hexagonal cover will be asymptotically optimal. – Lopsy Dec 27 '11 at 18:10
Thank you very much for answers. – user12290 Jan 2 '12 at 6:47

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