no internal points in regular triangle inside regular hexagon
Source: Sharygin Finals 2023 9.2
August 2, 2023
geometrySharygin Geometry OlympiadSharygin 2023combinatorial geometryhexagon
Problem Statement
Can a regular triangle be placed inside a regular hexagon in such a way that all vertices of the triangle were seen from each vertex of the hexagon? (Point is seen from , if the segment dots not contain internal points of the triangle.)