Title
Shape tiling
Abstract
. 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
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
Kevin Keating1498.87
Jonathan L. King231.11