The solution path is highlighted in blue. Tubes that cannot be traversed are grayed out with an X. Because of the cyclical nature of the transpositions, the problem space has many loops. These are indicated by the dashed lines connecting certain states lower in the tree with the same states higher in the tree. (Be sure to always go up the dotted lines, not down!)

You might have noticed there is another solution, of equal length, very similar to the one shown above. Near the end of the solution, instead of moving from Y to O and back, you could move from Y to Q and back.

There is yet another solution, longer and significantly different from the first two, which does not simply contain an unnecessary loop.

First Posted : May 28, 2016
Last Updated : May 28, 2016

Knossos Games by Tim Boester