IMO LongList 1967, Soviet Union 2
Source: IMO LongList 1967, Soviet Union 2
December 16, 2004
geometry3D geometryrotationcombinatoricsgeometric transformationIMO ShortlistIMO Longlist
Problem Statement
Is it possible to find a set of (or ) points on the boundary of a cube such that this set remains fixed under all rotations which leave the cube fixed ?