This type of puzzle, because of it's open-ended nature, has more than one solution. I've created puzzles with no physically specified solution before, such as the Cell Wall Transport System puzzles. Having no clear finish line makes it harder to understand the problem space. What is unique here is there is no necessary sequential ordering of moves which would limit the number of solutions. Instead, there is a sort of spatial ordering of moves, but that does not entirely rule out other solutions.

For this particular puzzle, I found one solution that is 37 moves long (the original is 24 moves long, both are listed below). The alternate solutions depend upon the interactions of moving between pairs of circles multiple times. In this manner, you can force one of the two circles to be aligned properly. To force the alignment of the other circle in the pair, you can find a new partner circle and repeat the process. This chain of alignments could conceivably solve the entire puzzle, if you have enough time (and patience).

 

 

 

Last updated: September 1, 2003
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