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The unexpectedly hard windmill question (2011 IMO, P2)
International Mathematical Olympiad, 1992, shortlisted problem 2
1992 IMO Problem 2: A Beautiful Functional Challenge
IMO 1960 Problem 2
International Mathematical Olympiad, 1992, problem 2 (proposed by India)
Functional Equations Part 2 [IMO 1992 Shortlist]
IMO 2023 Problem 2: Full Solution with a Homothety
2012 IMO Problem 2 (Two solutions)
1982 IMO Problem #2
Solving IMO 2009, Problem 2
IMO 1992 - Problem 1
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Last Updated: October 22, 2026
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TIMESTAMPS: 00:00 Intro 45 - 75/105 - 210 Take 10 00:22 First thing I notice 01:10 The first exploration steps 04:28 The second ... Topic: Algebra Subtopic: Functional Equations. Let's take a look at another functional equation which is the The famous (infamous?) "windmill" Solving yet another functional equation by considering further and further compositions, defining a recursion, and solving it by the ... Solving a functional equation from the International Mathematical Olympiad, A tangent to one circle and a line through two points should not meet on the angle bisector by accident, yet in artofproblemsolving.com/community/c3839_2012_imo. Topic: Geometry Subtopics: Concurrency; homothety. 00:00 Intro 25 - 45/90 - 150 Take 15 00:30 Lessons from shooting the