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MathNet 2026 — Part 09 Question 73

Math Olympiad Vault · MathNet 2026 — Part 09

Question 73

Let $E$ be an ellipse that is not a circle. For which $n \geq 3$ is it possible to inscribe a regular $n$-gon in $E$? (For each $n$, either show how to construct such an $n$-gon or prove that none exists.)