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MathNet 2026 — Part 03 Question 60

Math Olympiad Vault · MathNet 2026 — Part 03

Question 60

In a rectangle with dimensions $2 \times 3$ there is a polyline of length 36, which can have self-intersections. Show that there exists a line parallel to two sides of the rectangle, which intersects the other two sides in their interior points and intersects the polyline in fewer than 10 points.

Question illustration