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Arrangements of Stars on the American Flag

Dimitris Koukoulopoulos and Johann Thiel
The American Mathematical Monthly
Vol. 119, No. 6 (June‒July 2012), pp. 443-450
DOI: 10.4169/amer.math.monthly.119.06.443
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Page Count: 8
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Arrangements of Stars on the American Flag
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Abstract In this article, we examine the existence of nice arrangements of stars on the American flag. We show that despite the existence of such arrangements for any number of stars from 1 to 100, with the exception of 29, 69 and 87, they are rare as the number of stars increases.

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