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Thursday, 2009 January 8, 10:36 — mathematics

circles in ellipses

Many people have worked on the problem of packing equal circles efficiently in various regular shapes. David Cantrell asks, what is the ellipse of least area that can enclose n unit circles? Sometimes it’s a circle (n=1,7,19), sometimes it’s highly eccentric (n=23). Several of the results are rather pretty.

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