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The unexpectedly hard windmill question (2011 IMO, P2)
Solving the 2006 IMO Problems: Day 2
IMO 2001 Problem 2
1964 IMO Problem #2
The Hardest Mathematics Problem Ever Asked on the IMO
2012 IMO Problem 2 (Two solutions)
1981 IMO Problem #6 (Tower of 2's)
'Hardest' IMO question of 1988 (#6)
IMO 2024 Problem 2 - If you LOVE *number theory* and HATE *geometry*, it's a field day!
1982 IMO Problem #2
1961 IMO Problem #2
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Last Updated: October 2, 2026
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Summary
A beautiful puzzle that eluded AI, and the intuition it requires. our virtual career fair: 3b1b.co/talent See new ... Online Resources: + AOPS Community, Contest Collections for the The famous (infamous?) "windmill" I'm back, by popular demand, solving some Olympiad exam artofproblemsolving.com/community/c3839_2012_imo. This proof amplifies a solid understanding of basic algebra , Vieta rule and number theory. mathematics International Mathematical Olympiad ( Topic: Geometry Subtopics: Concurrency; homothety.