Solution from Ayumilove Diary that does work.
Then I got to Level 29 where I got stuck. I finally gave up and looked up the solution, and when I found it, it was really annoying. It simply interchanged a couple of pieces in a way that should not have worked as well.
I should have know the game was bogus when I ran into the first problem: placing a bridge over a solid surface. I am pretty sure I tried this in one of the earlier levels and it wouldn't let me.