I was very confused in the first minute, than I figured out than I can move, not just rotate.
Then I tried to join the 2 islands and move to the next one.
That did not worked, so I tried it again a bit differently.
After 5 to six attempts, I got the next level. Passed a few levels, and I am even more confused now... xd
Loved the art style, and I love (what I think is) the idea, but you should write some basic tutorial next time. :)