(182) 5

Part of 1988 Tournament Of Towns

Problems(1)

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

Source:

20 \times 20 \times 20

cube is composed of

2000

2 \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)

combinatoricscombinatorial geometrycube