A new mathematical model for tiling finite regions of the plane with polyominoes
, 2020 Marcus R. Garvie, John Burkardt
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Discrete mathematics as a resource for developing scientific activity in the classroom. [PDF]
ZDM, 2022 Colipan X, Liendo A.
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Counting perfect matchings in polyominoes with an application to the dimer problem [PDF]
, 1987 Peter E. John, H. Sachs, H. Zernitz
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On Computing the Degree of Convexity of Polyominoes [PDF]
, 2015 Stefano Brocchi +2 more
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The combinatorics of Motzkin polyominoes
Discrete Applied MathematicsA word $w=w_1\cdots w_n$ over the set of positive integers is a Motzkin word whenever $w_1=\texttt{1}$, $1\leq w_k\leq w_{k-1}+1$, and $w_{k-1}\neq w_{k}$ for $k=2, \dots, n$. It can be associated to a $n$-column Motzkin polyomino whose $i$-th column contains $w_i$ cells, and all columns are bottom-justified.
Baril, Jean-Luc +3 more
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Inversion relations, reciprocity and polyominoes [PDF]
, 1999 Mireille Bousquet‐Mélou +3 more
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Parallelogram polyominoes, partially labelled Dyck paths, and the Delta\n conjecture (FULL VERSION) [PDF]
, 2017 Michele D’Adderio, Alessandro Iraci
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What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution. [PDF]
Entropy (Basel), 2022 Viswanathan GM +3 more
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Polyomino Convolutions and Tiling Problems
Journal of Combinatorial Theory, Series A, 2001 8 pages, 8 figures. To appear in \emph{J. of Combin. Theory Ser. A}
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Development of a Public-Domain Measure of Two-Dimensional Rotation Ability and Preliminary Evidence for Discriminant Validity among Occupations. [PDF]
J Intell, 2023 Mather KA, Condon DM.
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