Nonomino - Packing and Tiling

Packing and Tiling

37 nonominoes have a hole. This makes it trivial to prove that the complete set of nonominoes cannot be packed into a rectangle, and that not all nonominoes can be tiled. However, it has been proven that 1,050 free nonominoes, or all but 235, do tile the plane.

One nonomino has a two-square hole (second rightmost in the top row). It is the smallest polyomino with a two-square hole.

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