MathDB
TOT 518 1996 Autumn S A1 colour 4+4 verices of a cube in 2 colors

Source:

August 16, 2024
geometry3D geometrycombinatoricscombinatorial geometryColoring

Problem Statement

Can one paint four vertices of a cube red and the other four points black so that any plane passing through three points of the same colour contains a vertex of the other colour?
(Mebius, Sharygin)