Enigma 1563: Drawing a line
22 February 2012
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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?