Drawing a line
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?
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WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 21 October. The Editor鈥檚 decision is final. Please send entries to Enigma 1563, New 杏吧原创, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).
Answer to 1557 Reverse division: (1) 1859 (2) 3876
The winner Don Bradford of Belconnen, ACT, Australia