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On the shape of permutomino tiles

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Publication:387869
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DOI10.1016/j.dam.2012.08.034zbMath1278.05067OpenAlexW2154900993MaRDI QIDQ387869

Andrea Frosini, Simone Rinaldi, Alexandre Blondin Massé, Laurent Vuillon

Publication date: 17 December 2013

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2012.08.034


zbMATH Keywords

tilingspolyominoespalindromespermutominoespseudoperiods


Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Polyominoes (05B50)


Related Items

Proving a conjecture on prime double square tiles



Cites Work

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  • A parallelogram tile fills the plane by translation in at most two distinct ways
  • Tilings by translation: enumeration by a rational language approach
  • Permutation diagrams, fixed points and Kazhdan-Lusztig \(R\)-polynomials
  • On the tiling by translation problem
  • A closed formula for the number of convex permutominoes
  • On translating one polyomino to tile the plane
  • The singular locus of a Schubert variety
  • Tiling the Plane with Permutations
  • Arbitrary versus periodic storage schemes and tessellations of the plane using one type of polyomino
  • Permutations defining convex permutominoes
  • The undecidability of the domino problem
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