max circle inscribed in non-convex hexagon by folding a square
Source: X All-Ukrainian Tournament of Young Mathematicians, Qualifying p13
May 26, 2021
geometrygeometric inequalityfoldinghexagonUkrainian TYM
Problem Statement
A paper square is bent along the line , which passes through its center, so that a non-convex hexagon is formed. Investigate the question of the circle of largest radius that can be placed in such a hexagon.