MathDB
TOT 182 1988 Spring S5 20x20x20 cube into 2000 bricks of 2x2x1

Source:

May 20, 2020
combinatoricscombinatorial geometrycube

Problem Statement

A 20×20×2020 \times 20 \times 20 cube is composed of 20002000 bricks of size 2×2×12 \times 2 \times 1 . Prove that it is possible to pierce the cube with a needle so that the needle passes through the cube without passing through a brick .
(A . Andjans , Riga)
Back to ProblemsView on AoPS