Title
Signed tilings with squares
Abstract
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
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 Keating1498.87
Jonathan King220.69