Tiling a square with eight congruent polyominoes (Q1268613)
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scientific article; zbMATH DE number 1212919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tiling a square with eight congruent polyominoes |
scientific article; zbMATH DE number 1212919 |
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Tiling a square with eight congruent polyominoes (English)
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14 January 1999
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A polyomino is a rookwise connected tile formed by joining unit squares at their edges. A problem that has attracted attention is that of finding polyominoes that tile rectangles. \textit{W. R. Marshall} [J. Comb. Theory, Ser. A 77, No. 2, 181-192 (1997; Zbl 0867.05018)] gives a particular polyomino eight copies of which (and no fewer) tile a rectangle. The paper under review generalizes this construction to give an infinite family of polyominoes of rectangular order eight.
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polyomino
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0.8776984
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0.8740988
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