Enigma 12: Cubic walks
5 November 2012
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From New Scientist #1154, 10th May 1979 [link]
The picture shows a perfectly smooth one-inch cube of sugar floating freely in space. Dotty and Potty are two very tiny space-flies, and each goes for a walk on the surface of the cube. Each starts where she chooses. Dotty must end up at her starting point; Potty need not. On the way, Dotty likes to take a nibble at each face of the cube. On her way, Potty wants a nibble at each edge.
If each takes the shortest walk which meets her own requirements, how long are each of their walks?
This is the 250th Enigma Puzzle to be added to the Enigmatic Code site!