Solokus is a packing puzzle from Ken Watanabe.  The object is to fit all the blocks into the grid, obviously.
  1. Some pieces can be rotated.
2. Some pieces can be rotated and flipped.
3. The most interesting rule is that when pieces are the same color, they must be connected at a corner. See 2nd image - reds and greens.
There are 120 free levels and I've done 109.  The 'advanced' puzzles are not free, but I haven't gotten to them yet. I honestly didn't think I'd like this game, but I do. I've spent 2-3 hours on this.

https://itunes.apple.com/us/app/solokus/id1180479583"mt=8

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