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Optimal Rectangles for Circles

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Some circles must be packed into a minimal rectangle. For 4, 6, 8, 9, 10, or 12 circles, the square lattice works best. Beyond that, the hexagonal lattice works best. Sometimes, as with 49 circles, a hexagonal layout seeming to miss a single circle is most efficient.

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA

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