A construction of inflation rules based on \(n\)-fold symmetry

DOI10.1007/BF02717732zbMath0849.52016OpenAlexW1982424758WikidataQ56443070 ScholiaQ56443070MaRDI QIDQ1911769

Yanyan Li

Publication date: 5 November 1996

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02717732

zbMATH Keywords

triangleinflationtilingtranslationprototileinflation factor\(n\)-fold dihedral symmetrypath of triangles

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (13)

A construction of algebraic surfaces with many real nodes ⋮ DECAGONAL QUASICRYSTAL PATTERNS WITH EIGHT PROTOTILES ⋮ CONFIGURATIONAL ENTROPY FOR STONE-INFLATION HEXAGONAL AND OCTAGONAL PATTERNS ⋮ Deltoid tangents with evenly distributed orientations and random tilings ⋮ The Root Lattice $$A_{2}$$ in the Construction of Substitution Tilings and Singular Hypersurfaces ⋮ Notes on vertex atlas of Danzer tiling ⋮ Randomness and topological invariants in pentagonal tiling spaces ⋮ Random tilings of spherical 3-manifolds ⋮ On the index of Siegel grids and its application to the tomography of quasicrystals ⋮ Substitutions with vanishing rotationally invariant first cohomology ⋮ COMPOSITION OF INFLATION RULES FOR APERIODIC STRUCTURES WITH NINE-FOLD SYMMETRY ⋮ Cyclotomic aperiodic substitution tilings ⋮ A computer search for planar substitution tilings with \(n\)-fold rotational symmetry

Cites Work

• Some generalized Penrose patterns from projections ofn-dimensional lattices
• PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE
• Quasicrystals and icosians
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