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1990 IMO Problems/Problem 6

Revision as of 06:00, 5 July 2016 by Ani2000 (talk | contribs) (Created page with "6. Prove that there exists a convex <math>1990-gon</math> with the following two properties: (a) All angles are equal. (b) The lengths of the <math>1990</math> sides are the n...")
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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.

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