MathDB
Bricks in 4-dimensional space - Paenza 2010

Source:

August 27, 2010
geometry3D geometrycombinatorics unsolvedcombinatorics

Problem Statement

In 44-dimensional space, a set of 1×2×3×41 \times 2 \times 3 \times 4 bricks is given. Decide whether it is possible to build boxes of the following sizes using these bricks: i) 2×5×7×122 \times 5 \times 7 \times 12 ii) 5×5×10×125 \times 5 \times 10 \times 12 iii) 6×6×6×66 \times 6 \times 6 \times 6.