MathDB

8.7

Part of 2022 Sharygin Geometry Olympiad

Problems(1)

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

Source: Sharygin Finals 2022 8.7

10/26/2022
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?
geometrypointscombinatoricscombinatorial geometry