Game has many faults.
At its core, this game is a good idea, and is pretty innovative. However, I do have some criticisms to offer, despite the fact that this will probably be bot-removed because anything other than resounding praise for front-page media seems to be treated as garbage.
Anyway, your puzzles are all pretty much the same. You shift around the tiles until something matches up, move across the tiles, rinse and repeat. I didn't play all the way until the end, so while I'm sure it gets challenging eventually, it is still a lot of the same.
Secondly, the actual tile shifting doesn't have any variety whatsoever. You have three tiles, you slide them around in a clockwise or counterclockwise fashion and eventually something lines up. Not that much fun.
Both of these problems could be fixed by having a variable number of tiles. Perhaps you could have some dummy tiles in there, ones that trick you and that you don't really need.
My last problem is the tile-crossing system. By level 7 I had already come across multiple levels wherein it looked like I could run from one tile to the next, only to be stopped for some reason. You need to be more consistent with what works in your game. Just because I'm not going the way you want me to go, doesn't mean that you have to block me off for some reason.
All in all, this is a great game buried under some major and some minor flaws.