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.
Read more about this topic: Nonomino
Famous quotes containing the word packing:
“The good husband finds method as efficient in the packing of fire-wood in a shed, or in the harvesting of fruits in the cellar, as in Peninsular campaigns or the files of the Department of State.”
—Ralph Waldo Emerson (18031882)