Self-dual tilings with respect to star-duality

DOI10.1016/j.tcs.2007.10.028zbMath1133.05018arXiv0704.2528OpenAlexW2000330487MaRDI QIDQ2474223

Dirk Frettlöh

Publication date: 5 March 2008

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2528

zbMATH Keywords

aperiodic tilingsquasicrystalsautomata sequencestilings in 2 dimensions

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Automata sequences (11B85) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (4)

Selfdual substitutions in dimension one ⋮ Dual systems of algebraic iterated function systems ⋮ Periodic codings of algebraic graph-directed IFS ⋮ A note on aperiodic Ammann tiles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Substitutions in dynamics, arithmetics and combinatorics
• Fractal Penrose tiles. II: Tiles with fractal boundary as duals of Penrose triangles
• Some properties of invertible substitutions of rank \(d\), and higher dimensional substitutions.
• Pure point dynamical and diffraction spectra
• Self-affine tiling via substitution dynamical systems and Rauzy fractals.
• The tilings encyclopedia
• PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE
• Quasiperiodic tilings with tenfold symmetry and equivalence with respect to local derivability
• Limit-(quasi)periodic point sets as quasicrystals withp-adic internal spaces
• Dynamics of self-similar tilings
• Reprsentation des systmes dynamiques substitutifs non unimodulaires
• Kolakoski-(2m,2n) are limit-periodic model sets
• Higher dimensional extensions of substitutions and their dual maps

This page was built for publication: Self-dual tilings with respect to star-duality