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MathNet 2017-part-06 — 176 problems (EN–VI) Question 91

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 91

Let $n \geq 3$ be a natural number. What is the maximum number of diagonals of a regular $n$-gon that can be drawn so that, whenever two of them intersect in the interior, they are perpendicular to each other?