On the number of isohedral polyominoes

DOI10.22405/2226-8383-2024-25-1-138-154zbMATH Open1543.05021MaRDI QIDQ6570128

Al'bina Andreevna Mokrova, Anton Shutov

Publication date: 10 July 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

polyominoesplane tilingsisohedral polyominoesisohedrality criteria

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyominoes (05B50)

Cites Work

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• Tilings by translation: enumeration by a rational language approach
• On the tiling by translation problem
• Tiling complexity of small n-ominoes \((N<10)\)
• On translating one polyomino to tile the plane
• Isohedral polyomino tiling of the plane
• Mathematical problems. Lecture delivered before the international congress of mathematicians at Paris in 1900. Translated by \textit{Mary Winston Newson}.
• Planar tilings by polyominoes, polyhexes, and polyiamonds
• John Conway, tilings, and me
• A method to generate polyominoes and polyiamonds for tilings with rotational symmetry
• A Quasilinear-Time Algorithm for Tiling the Plane Isohedrally with a Polyomino
• Polymorphic Polyominoes
• Will It Tile? Try the Conway Criterion!
• The eighty-one types of isohedral tilings in the plane
• On the Number of p4-Tilings by an n-Omino
• Enumeration of Polyominoes, Polyiamonds and Polyhexes for Isohedral Tilings with Rotational Symmetry
• An algorithm for deciding if a polyomino tiles the plane
• Checker Boards and Polyominoes

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