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A Note on Tiling with Integer-Sided Rectangles

โœ Scribed by Richard Kenyon


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
350 KB
Volume
74
Category
Article
ISSN
0097-3165

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โœฆ Synopsis


We show how to determine if a given rectilinear polygon can be tiled with rectangles, each having an integer side.


๐Ÿ“œ SIMILAR VOLUMES


Tiling a Rectangle with the Fewest Squar
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We show that a square-tiling of a p\_q rectangle, where p and q are relatively prime integers, has at least log 2 p squares. If q>p we construct a square-tiling with less than qร‚p+C log p squares of integer size, for some universal constant C.

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A set tiles the integers if and only if the integers can be written as a disjoint union of translates of that set. We consider the problem of finding necessary and sufficient conditions for a finite set to tile the integers. For sets of prime power ลฝ . size, it was solved by D. Newman 1977, J. Numbe

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