The math for them gets slippery pretty quick. The generalization of tetrominoes (tetris pieces) and pentominoes are called polyominoes. I recently had a student decide he wanted to see if he could fill in a chess board with tetris pieces, with the added restriction that he use all of them as close to the same number of times as possible. Can you make a square out of them? A rectangle? All sorts of fun puzzles are suggested on this page. One very natural thing to do, after seeing how many there are and what they have to be (and deciding whether you want to count ones that are reflections of others as the same or different), is to see how they fit together. So despite looking like a weird choice, they actually made the most natural choice you can make in both cases.īeing such a natural shape, one would expect them to have been studied before, and indeed people have been playing with them for a long time. They count as different if you can’t rotate OR reflect one to make another.
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