There was a precursor in 2005, a paper called "How to Construct Tetris Configurations". Their output was monochrome, but I'm sure the proof results are transferable.

http://scitua.scit.wlv.ac.uk/OJS_IJIGS/index.php/IJIGS/artic...

http://www.liacs.nl/~kosters/tetris/ijigstetrisfinal.pdf