scientific article; zbMATH DE number 6897879

zbMath1395.52024MaRDI QIDQ4571826

A. V. Shutov, E. V. Kolomeikina

Publication date: 29 June 2018

Full work available at URL: http://mathnet.ru/eng/dvmg358

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

self-avoiding walkslower and upper boundstilings of the planepolyhexeslattice tilings

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Cites Work

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• The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\)
• Tilings by translation: enumeration by a rational language approach
• Planar tilings by polyominoes, polyhexes, and polyiamonds
• A method to generate polyominoes and polyiamonds for tilings with rotational symmetry
• Contributions to the Cell Growth Problem
• Will It Tile? Try the Conway Criterion!
• Enumeration of Polyominoes, Polyiamonds and Polyhexes for Isohedral Tilings with Rotational Symmetry
• Cell Growth Problems
• A Procedure for Improving the Upper Bound for the Number of n-Ominoes

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