DMTCS Proceedings, Discrete Models for Complex Systems, DMCS'03

Font Size:  Small  Medium  Large
DMTCS Conference vol AB (2003), pp. 81-88


Discrete Models for Complex Systems, DMCS'03

Michel Morvan and Éric Rémila (eds.)

DMTCS Conference Volume AB (2003), pp. 81-88

author: Olivier Bodini
title: Tiling a Rectangle with Polyominoes
keywords: Tiling, Polyomino
abstract: A polycube in dimension d is a finite union of unit
-cubes whose vertices are on knots of the lattice
. We show that, for each family of polycubes
, there exists a finite set
of bricks (parallelepiped rectangles) such that the bricks which can be tiled by
are exactly the bricks which can be tiled by
. Consequently, if we know the set
, then we have an algorithm to decide in polynomial time if a brick is tilable or not by the tiles of
  If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files.
reference: Olivier Bodini (2003), Tiling a Rectangle with Polyominoes, in Discrete Models for Complex Systems, DMCS'03, Michel Morvan and Éric Rémila (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AB, pp. 81-88
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
ps.gz-source: (64 K)
ps-source: (888 K)
pdf-source: dmAB0107.pdf (112 K)

The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.

Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.

Automatically produced on Di Sep 27 10:09:10 CEST 2005 by gustedt

Valid XHTML 1.0 Transitional