I love puzzles. Any kind of puzzles, but especially puzzles in videogames. Specifically games dedicated to one type of puzzle (not to rag on Professor Layton, he's cool too).
SquareLogic is sudoku with a few more rules, basically. It starts off on a 4x4 grid and goes up to... I don't know. Probably 9x9. You have to figure out the numbers with rules it gives you instead of being given some other numbers. If you like sudoku, you'll love this.
I've given it 4/5 stars, not because it could be better, but because every time you do a preliminary set of levels (of which there are about 59 sets of 13), you unlock a further 150-800 puzzles just on that set. I do really like the game, but I think there's probably more puzzles in this game that I'll be able to do in my entire life so I'll never be able to see it.
I say pick it up. Just be prepared for it to take up a large portion of your life.