The paper determines the shape a permutomino has to have in order to tile the plane by translation. This characterization leads to the enumeration of such permutominoes since their border can be regarded as a binary word, with respect to their semiperimeter.
On the shape of permutomino tiles / A. Blondin Massé; A. Frosini; S. Rinaldi; L. Vuillon. - In: DISCRETE APPLIED MATHEMATICS. - ISSN 0166-218X. - STAMPA. - 161:(2013), pp. 2316-2327. [10.1016/j.dam.2012.08.034]
On the shape of permutomino tiles
FROSINI, ANDREA;
2013
Abstract
The paper determines the shape a permutomino has to have in order to tile the plane by translation. This characterization leads to the enumeration of such permutominoes since their border can be regarded as a binary word, with respect to their semiperimeter.
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