MathDB
suspicious clever combigeo

Source: Sharygin Final 2024 8.8

August 2, 2024
combinatorial geometrySharygin Geometry OlympiadSharygin 2024geometry

Problem Statement

Two polygons are cut from the cardboard. Is it possible that for any disposition of these polygons on the plane they have either common inner points or only a finite number of common points on the boundary?