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Here is a famous puzzle, apparently created by Henry Dudeney. In a
room that it 12x12x30, there is a spider near the top of one of the smaller
walls. She is one unit (foot or whatever) from the ceiling, and centered
between the side walls. She sees a fly on the opposite wall, one unit from the
floor and centered between the side walls. What is the shortest path that she
can travel (on walls, ceiling, an/or floor) to get to the fly (which remains
stationary the entire time)?