Difference between revisions of "1990 IMO Problems/Problem 6"

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Revision as of 06:00, 5 July 2016

6. Prove that there exists a convex $1990-gon$ with the following two properties: (a) All angles are equal. (b) The lengths of the $1990$ sides are the numbers $1^2, 2^2,3^2,\dots, 1990^2$ in some order.