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Polyomino


4.6 ( 6976 ratings )
ゲーム パズル 教育 ボード
開発者 Masataka Nishimori
無料

Puzzles commonly ask for tiling a given region with a given set of polyominoes, such as the 12 pentominoes. Golombs and Gardners books have many examples. A typical puzzle is to tile a 6×10 rectangle with the twelve pentominoes; the 2339 solutions to this were found in 1960. Where multiple copies of the polyominoes in the set are allowed, Golomb defines a hierarchy of different regions that a set may be able to tile, such as rectangles, strips, and the whole plane, and shows that whether polyominoes from a given set can tile the plane is undecidable, by mapping sets of Wang tiles to sets of polyominoes.