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Automatic generation of formulae for polyominoes with a fixed perimeter defect

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Publication:2088891
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DOI10.1016/j.comgeo.2022.101919zbMath1498.05050OpenAlexW4288734188WikidataQ114195452 ScholiaQ114195452MaRDI QIDQ2088891

Bar Magal, Gill Barequet

Publication date: 6 October 2022

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2022.101919


zbMATH Keywords

polyominoesautomatic generation of formulaeperimeter defect


Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Polyominoes (05B50)


Related Items (1)

Polycubes with small perimeter defect


Uses Software

  • SymPy
  • OEIS


Cites Work

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  • Counting polycubes without the dimensionality curse
  • Counting polyominoes: yet another attack
  • A pattern theorem for lattice clusters
  • Enumerating polyominoes with fixed perimeter defect
  • Contributions to the Cell Growth Problem
  • Cell Growth Problems
  • A Procedure for Improving the Upper Bound for the Number of n-Ominoes
  • Checker Boards and Polyominoes
  • Improved upper bounds on the growth constants of polyominoes and polycubes
  • Enumerations of lattice animals and trees




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