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Comment by dynamic_sausage

This text seems to quickly get rather technical, with theorems and stuff. I would suggest looking at Golomb's classical Polyominoes first https://archive.org/details/polyominoes00golo/page/n7/mode/2...

If you like playing with polyominoes, there is a really fun chesslike table game inspired by them called Blokus, and someone wrote an open-source engine for it: https://pentobi.sourceforge.io/

Of course, as already noted in another comment, there's the ultimate tetromino game: Tetris (literally defined as tetromino tennis)...

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