Super impressive game. Reminds me a lot of The Incredible Machine, but this one is more stressful!
Like others have commented I think a couple of changes like more time to place initial objects, or even having your previous objects remain on the playing field (and possibly able to be rotated) would help so much. I ended up getting frustrated repeating the first object placement over and over because I just mis-placed later objects. Even with that I passed 5 of the 8 levels. :)
Music is great, atmosphere is great. Well done! I'm hoping you polish this one into a full game.