MathDB
MMO 228 Moscow MO 1952 3 cylinders into a cube

Source:

August 8, 2019
geometry3D geometrycylindercube

Problem Statement

How to arrange three right circular cylinders of diameter a/2a/2 and height aa into an empty cube with side aa so that the cylinders could not change position inside the cube? Each cylinder can, however, rotate about its axis of symmetry.