OK, sometimes when I go from 2D to 3D, I auto-jump up from the paper. In level 17 I need to do this to get up from the bottom. I can't get it to happen on purpose, but it occasionally happens when I don't need it to. I really want to know how I can do it deliberately.
If pulling the blue string doesn't give you enough snap, be aware that you can pull it down, then push it up and "kick" the thing on it instead of relying on the rubber-band effect.
Finding out that you can move the tiles once placed helped me a lot. When you're close to done and know you can only place one more of the tiles you have, choose one that matches either side of your current arc, that way you can move it to the other side, maybe even shift several tiles until you open up a place where one of your new tiles can go.
It sounds like the reason this game is in the "newly badged" list is that they re-released it in HTML so it won't become unplayable when flash is gone.
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:O