COMPOSITION OF INFLATION RULES FOR APERIODIC STRUCTURES WITH NINE-FOLD SYMMETRY

DOI10.1142/S0217979299000217zbMath1229.82150OpenAlexW2063964596MaRDI QIDQ3106607

Juan García Escudero

Publication date: 29 December 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979299000217

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

Related Items (4)

A construction of algebraic surfaces with many real nodes ⋮ DECAGONAL QUASICRYSTAL PATTERNS WITH EIGHT PROTOTILES ⋮ The Root Lattice $$A_{2}$$ in the Construction of Substitution Tilings and Singular Hypersurfaces ⋮ Substitutions with vanishing rotationally invariant first cohomology

Cites Work

• Quasiperiodicity and randomness in tilings of the plane
• A construction of inflation rules based on \(n\)-fold symmetry
• The construction of self-similar tilings
• ELECTRON MICROSCOPY OF QUASICRYSTALS AND THE VALIDITY OF THE TILING APPROACH
• An interpretation of 2D quasiperiodic patterns in terms of automorphisms of free groups
• Grammars for icosahedral Danzer tilings
• Heptagonal quasicrystal tilings
• Quasicrystal Tilings with Nine-Fold and Fifteen-Fold Symmetries and Their Bragg Spectra

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