The polyomino '□□ □□' (two blocks of two squares with a gap) does not tile any rectangle, how do I prove/disprove that it tiles the plane?
2026-03-28 03:51:39.1774669899
The "□□ □□" polyomino
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You can fill the plane, by forming rows repeating horizontally the following figure:
then attaching the rows with a shift of $1$ square.