𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Combinatorially Regular Polyomino Tilings

✍ Scribed by James W. Cannon; William J. Floyd; Walter R. Parry


Publisher
Springer
Year
2005
Tongue
English
Weight
260 KB
Volume
35
Category
Article
ISSN
0179-5376

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Regular generalized polyomino graphs
✍ Shou-Zhong Wang; Rong Si Chen πŸ“‚ Article πŸ“… 2006 πŸ› Springer 🌐 English βš– 237 KB
Polyomino Convolutions and Tiling Proble
✍ Ali Ulas Ozgur Kisisel πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 252 KB

We define a convolution operation on the set of polyominoes and use it to obtain a criterion for a given polyomino not to tile the plane (rotations and translations allowed). We apply the criterion to several families of polyominoes and show that the criterion detects some cases that are not detecta

Minimum boundary touching tilings of pol
✍ Andreas Spillner πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 136 KB

## Dedicated to Professor GΓΌnter Asser on the occasion of his eightieth birthday We study the problem of tiling a polyomino P with as few squares as possible such that every square in the tiling has a non-empty intersection with the boundary of P . Our main result is an algorithm which given a sim

Tiling a Square with Eight Congruent Pol
✍ Michael Reid πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 76 KB

The problem of finding polyominoes that tile rectangles has attracted a lot of attention; see [1] for an overview, and [2, 3] for more recent results. Several general families of such polyominoes are known, but sporadic examples seem to be scarce. Marshall [2, Fig. 9] gives a polyomino of rectangula