MathDB
10 points on a plane, no 4 od them on boundary of some square

Source: Sharygin Finals 2022 8.7

October 26, 2022
geometrypointscombinatoricscombinatorial geometry

Problem Statement

Ten points on a plane a such that any four of them lie on the boundary of some square. Is obligatory true that all ten points lie on the boundary of some square?