Abstract | ||
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Let T be a bounded region in the Cartesian plane built from nitely manyrectangles of the form [a 1 ; a 2 ) [b 1 ; b 2 ), with a 1 < a 2 and b 1 < b 2 . We give anecessary and su?cient condition for T to be tilable with nitely many positiveand negative squares.In [1] Dehn proved that an ab rectangle R can be tiled with nitely many nonoverlappingsquares if and only if b=a is rational. This result may be proved as follows(cf. [3, 4, 5, 7]): If b=a is rational then clearly R can be... |
Year | DOI | Venue |
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1999 | 10.1006/jcta.1998.2902 | J. Comb. Theory, Ser. A |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Of the form,Mathematics,Bounded function,Cartesian coordinate system | Journal | 85 |
Issue | ISSN | Citations |
1 | Journal of Combinatorial Theory, Series A | 2 |
PageRank | References | Authors |
0.69 | 1 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Kevin Keating | 1 | 49 | 8.87 |
Jonathan King | 2 | 2 | 0.69 |