MathDB
TOT 276 1990 Autumn O S4 bricks from 11x12x13 box

Source:

June 8, 2024
geometrycombinatoricscombinatorial geometry

Problem Statement

We have “bricks” made in the following way: we take a unit cube and glue to three of its faces which have a common vertex three more cubes in such a way that the faces glued together coincide. Is it possible to construct from these bricks an 11×12×1311 \times 12 \times 13 box?
(A Andjans, Riga )