**From New Scientist #2726, 19th September 2009** [link]

*Enigma* is a piece of contemporary art. It consists of a solid white cuboid of sides 18 centimetres, 24 centimetres and some other length (which is not a whole number of centimetres).

On each face of the cuboid there is a straight red line a whole number of centimetres long going from the mid-point of one edge to the mid-point of another. The six lines together form a continuous route over the surface of the cuboid. The shortest two of the lines are of different lengths.

What are the lengths of the six lines?

[enigma1563]

### Like this:

Like Loading...

*Related*

The following Python program runs in 36ms.

Solution:The lengths of the lines are 18cm, 24cm, 31cm, 31cm, 32cm and 32cm.