filling space of 7 unit cubes by solids , no 2 of them have a common interior
Source: Austrian - Polish 2000 APMC
May 4, 2020
3D geometrygeometrycombinatoricscubes
Problem Statement
Consider the solid obtained by attaching unit cubes at the six faces of a unit cube . Prove or disprove that the space can be filled up with such solids so that no two of them have a common interior point.