That's a very nice little game you submitted, the idea is really good (even if it's a sequel, but as you also made the first one, i can say the idea is STILL very good :) ).
I really liked the perfectly dosed increase of difficulty. Starting with very simple puzzles, to strongly challenging ones ; and making us discover the growing move in the middle was a very good idea. Everything allows the game to have a good length of life.
I also liked the possibility of using several ways to win, (I guess I sometimes used some non academic logic to win, particularly on the 28th level "the lift" :D) that prevent the player for getting mad with an incomprehension of what to do, and gets him more interested in it, finding the better way to reach the star.
I'm not totally seduced by the plastical aspect of the different shapes which I find not really pretty or making an homogeneous ensemble (the star is too different than the squares, some shapes are shining while some other don't, colors don't really match each other, textures don't fancy me, etc.), but it doesn't prevent me from playing and I evoke that just to talk about bad points (which are furthermore a matter of tastes).
So finally, it's a very nice game, addicting, intelligent, and well realized. Good job ! 4 and 4 !
(Raa, and this secret medal is hard to find !)