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MathNet 2023-part-04 — 191 problems (EN–VI) Question 171

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 171

A diagonal line of a (not necessarily convex) polygon with at least four sides is any line through two non-adjacent vertices of that polygon. Determine all polygons with at least four sides satisfying the following condition: The reflexion of each vertex in each diagonal line lies inside or on the boundary of the polygon.