MathDB
MMO 341 Moscow MO 1956 1956 points in a cube of edge 13

Source:

August 19, 2019
geometry3D geometrycombinatoricscombinatorial geometrycube

Problem Statement

19561956 points are chosen in a cube with edge 1313. Is it possible to fit inside the cube a cube with edge 11 that would not contain any of the selected points?