A characterization of flip-accessibility for rhombus tilings of the whole plane

DOI10.1016/j.ic.2008.03.008zbMath1160.68035OpenAlexW1985925313MaRDI QIDQ948073

Thomas Fernique, Olivier Bodini, Eric Rémila

Publication date: 8 October 2008

Published in: Information and Computation (Search for Journal in Brave)

Full work available at URL: https://hal-lirmm.ccsd.cnrs.fr/lirmm-00149368/file/bfr.pdf

zbMATH Keywords

flipstatistical mechanicsquasicrystalrhombus tilingtiling of the planeDe Bruijn line

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Polyhedra and polytopes; regular figures, division of spaces (51M20) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (8)

Fast domino tileability ⋮ Martin boundary of killed random walks on isoradial graphs ⋮ Brun expansions of stepped surfaces ⋮ Parallelogram tilings, worms, and finite orientations ⋮ The \(Z\)-invariant massive Laplacian on isoradial graphs ⋮ Y-equivalence and rhombic realization of projective-planar quadrangulations ⋮ Distances on Lozenge Tilings ⋮ A \(d\)-dimensional extension of Christoffel words

Cites Work

• Unnamed Item
• Unnamed Item
• Rhombus tilings: decomposition and space structure
• Generating random elements of finite distributive lattices
• Tiling a polygon with parallelograms
• Functional stepped surfaces, flips, and generalized substitutions
• Conway's Tiling Groups
• Combinatorial Image Analysis

This page was built for publication: A characterization of flip-accessibility for rhombus tilings of the whole plane