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Indecomposability: polyominoes and polyomino tilings

Published online by Cambridge University Press:  01 August 2016

Simone Rinaldi  and
D. G. Rogers
Simone Rinaldi
Affiliation:
Dipartimento di Scienze Matematiche ed Informatiche “R.Magari”, Università Siena, Plan dei Mantellini 44, 53100 Siena, Italy, e-mail: rinaldi@unisi.it
D. G. Rogers
Affiliation:
Dipartimento di Scienze Matematiche ed Informatiche “R.Magari”, Università Siena, Plan dei Mantellini 44, 53100 Siena, Italy, e-mail: rinaldi@unisi.it
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Extract

When we were preparing our earlier article [1], we thought to look back to see what else had appeared in the Gazette on the subject of polyominoes. A polyomino is a finite collection of cells in the square grid with connected interior - so it is insufficient that cells be connected only corner to corner. Some authors require polyominoes to have a simply connected interior, that is, to be without holes, as was appropriate, for example, in [1] for stack polyominoes. The classic text on polyominoes is Solomon Golomb's engaging book [2], first published in 1965, now supplemented at an even more accessible level by [3].

Type
Articles
Information
The Mathematical Gazette , Volume 92 , Issue 524 , July 2008 , pp. 193 - 204
Copyright
Copyright © The Mathematical Association 2008

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