Very cool!
When I first saw the title of this game, I thought it was gong to be a golf one! It was really cool to come up with different ways to cut these squares up. The hardest one for me was easily Level 3. In case anyone else is suffering as much as I am with that one, here's how to beat it. You have to first create cuts through the bottom and top part right where the rest is exposed to the outside. Then you should use a slice that splits the top part from the rest.
It could have been more detailed, but it wa still plenty fun. I guess it helps that I'm realizing that puzzle games like this really make your mind exercise. It's amazing how hard it can be where you have to get 100% of the red part away. The sounds are decent. You might also want to put in a background of some kind.