Would the Baron ever lie?
Source: 44th International Tournament of Towns, Junior A-Level P3, Fall 2022
February 16, 2023
combinatoricsgeometryTournament of TownsBaron Munchausen
Problem Statement
Baron Munchausen claims that he has drawn a polygon and chosen a point inside the polygon in such a way that any line passing through the chosen point divides the polygon into three polygons. Could the Baron’s claim be correct?