Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1990 IMO Problems/Problem 6

Revision as of 05:00, 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...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1990_IMO_Problems/Problem_6&oldid=79181"