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MathNet 2010 — Part 03 Question 113

Math Olympiad Vault · MathNet 2010 — Part 03

Question 113

We have drawn a polygon with $2n$ sides without picking up the pencil from the paper. If we name the sides from $1$ to $2n$ with the order of drawing them, then the odd sides are all vertical and are drawn bottom-up. Prove that this polygon intersects itself.