Title
Tiling a Polygon with Two Kinds of Rectangles
Abstract
We fix two rectangles with integer dimensions. We give a quadratic time algorithm which, given a polygon F as input, produces a tiling of F with translated copies of our rectangles (or indicates that there is no tiling). Moreover, we prove that any pair of tilings can be linked by a sequence of local transformations of tilings, called flips. This study is based on the use of Conway’s tiling groups and extends the results of Kenyon and Kenyon (limited to the case when each rectangle has a side of length 1).
Year
DOI
Venue
2005
10.1007/s00454-005-1173-3
Discrete and Computational Geometry
Keywords
DocType
Volume
Computational Mathematic,Time Algorithm,Local Transformation,Quadratic Time,Integer Dimension
Journal
34
Issue
ISSN
Citations 
2
0302-9743
6
PageRank 
References 
Authors
0.51
10
1
Name
Order
Citations
PageRank
Eric Rémila132945.22