Tiling a Rectangle with PolyominoesReportar como inadecuado




Tiling a Rectangle with Polyominoes - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 LIRMM - Laboratoire d-Informatique de Robotique et de Microélectronique de Montpellier

Abstract : A polycube in dimension $d$ is a finite union of unit $d$-cubes whose vertices are on knots of the lattice $\mathbb{Z}^d$. We show that, for each family of polycubes $E$, there exists a finite set $F$ of bricks parallelepiped rectangles such that the bricks which can be tiled by $E$ are exactly the bricks which can be tiled by $F$. Consequently, if we know the set $F$, then we have an algorithm to decide in polynomial time if a brick is tilable or not by the tiles of $E$.

Keywords : Tiling Polyomino





Autor: Olivier Bodini -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados