The purpose of the game, as with Loyd's Fifteen and Sliders , is to return the counters into their Home position , position they were in before reshuffling. The puzzle consists of several counters placed on two intersecting circles. Clicking on the upper counters induces clockwise rotations. Clicking on the lower counters results in counterclockwise rotations. Left counters rotate the left circle.
Right counters rotate the right circle.
The middle ones handle the whole set. The empty counter is skipped in all cases. With 7 counters the puzzle is solvable for any starting configuration. You can experiment with this by hitting the Cheat button which swaps the second and the first counters. The permutation is presented as a product of cycles .