Tiling a square with eight congruent polyominoes
type: Item
instance of: scholarly article
title: Tiling a square with eight congruent polyominoes
zbMATH Open document ID: 0905.05020
author: K. Appert
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-01-14T00:00:00Z
review text: A polyomino is a rookwise connected tile formed by joining unit squares at their edges. A problem that has attracted attention is that of finding polyominoes that tile rectangles. \textit{W. R. Marshall} [J. Comb. Theory, Ser. A 77, No. 2, 181-192 (1997; Zbl 0867.05018)] gives a particular polyomino eight copies of which (and no fewer) tile a rectangle. The paper under review generalizes this construction to give an infinite family of polyominoes of rectangular order eight.
reviewed by: Andrew Vince
Mathematics Subject Classification ID: 05B45
Mathematics Subject Classification ID: 05B50
zbMATH DE Number: 1212919
zbMATH Keywords: polyomino
MaRDI profile type: Publication
OpenAlex ID: W2079583788
cites work: Tiling rectangles with polyominoes
cites work: Packing rectangles with congruent polyominoes
cites work: Tiling rectangles and half strips with congruent polyominoes
DOI: 10.1006/JCTA.1997.2860
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description: scientific article; zbMATH DE number 1212919