Abstract | ||
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. Given a list 1\Theta1; 1\Thetaa; 1\Thetab; : : : ; 1\Thetac of rectangles, with a; b; : : : ; c non-negative,when can 1 \Theta t be tiled by positive and negative copies of rectangles which are similar(uniform scaling) to those in the list? We prove that such a tiling exists iff t is in thefield Q(a; b; : : : ; c).When can rectangle 1 \Theta t be packed by (finitely many) squares? Dehn1903 gavethe answer: If and only if t is rational. For irrational t he showed 1 \Theta t not packableby ... |
Year | Venue | Keywords |
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1997 | Electr. J. Comb. | wall number,. tiling,dehn's theorem,packing,fl elds. |
DocType | Volume | Issue |
Journal | 4 | 2 |
Citations | PageRank | References |
3 | 1.11 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Kevin Keating | 1 | 49 | 8.87 |
Jonathan L. King | 2 | 3 | 1.11 |