Here's a sample puzzle http://www.tantrix.nu/img/match/matchmain.gif The program that generated the puzzles verified that there's only one way to fit the remaining tiles into the frame, but no one ever verified that the lots of the available puzzles don't lead to the same or similar solution. Clearly, if you started with the solution and randomly removed tiles, there are many valid starting points that would lead to that solution. There definitely are may positions where you could pick up a block of 3 or more tiles and put them down (possibly rotated) in different positions, and have a new solution. That's what I want to look for, initially in the available set of 20,000 puzzles. Ultimately, I want to verify or refute the feeling of Deja Vu I have; that these puzzles are all the same after a while.