Ribbon tile invariants from the signed area

DOI10.1006/jcta.2001.3208zbMath1001.05040OpenAlexW2016296196MaRDI QIDQ1601417

Igor Pak, Moore, Cristopher

Publication date: 11 December 2002

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/32f03dbd7fbfa255998f437853be74b28150dfe1

zbMATH Keywords

height representationpolyomino tilingstile invariants

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyominoes (05B50)

Related Items (4)

The number of ribbon tilings for strips ⋮ Tile invariants: New horizons. ⋮ A pentagonal number theorem for tribone tilings ⋮ Ribbon tilings and multidimensional height functions

Cites Work

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• Tiling groups: New applications in the triangular lattice
• On tilings by ribbon tetrominoes
• Tiling with polyominoes and combinatorial group theory
• A note on tiling with integer-sided rectangles
• Conway's Tiling Groups
• A Pedestrian Approach to a Method of Conway, or, A Tale of Two Cities
• Ribbon tile invariants
• Exact sampling with coupled Markov chains and applications to statistical mechanics
• Hard tiling problems with simple tiles

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