Structure of planar integral self-affine tilings

DOI10.1002/mana.201000061zbMath1242.52023OpenAlexW2077869732MaRDI QIDQ3225782

Da-Wen Deng, Tao Jiang, Sze-Man Ngai

Publication date: 22 March 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201000061

zbMATH Keywords

Cantor settilingneighborself-affine tile

Mathematics Subject Classification ID

Fractals (28A80) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (4)

Boundaries of disk-like self-affine tiles ⋮ Self-affine manifolds ⋮ Fractal tiles and quasidisks ⋮ A class of self-affine tiles in \(\mathbb{R}^d\) that are \(d\)-dimensional tame balls

Cites Work

• Unnamed Item
• Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
• Vertices of self-similar tiles
• Expanding polynomials and connectedness of self-affine tiles
• On the connectedness of self-affine attractors
• Self-affine tiles in \(\mathbb{R}^n\)
• The topological structure of fractal tilings generated by quadratic number systems
• A Planar Integral Self-Affine Tile with Cantor Set Intersections with Its Neighbors
• Disklikeness of planar self-affine tiles
• Classification of Self-Affine Lattice Tilings
• On the Connectedness of Self-Affine Tiles
• DISCLIKE LATTICE REPTILES INDUCED BY EXACT POLYOMINOES
• Integral Self-Affine Tiles in ℝ ⁿ I. Standard and Nonstandard Digit Sets
• Disk-like self-affine tiles in \(\mathbb{R}^2\)

This page was built for publication: Structure of planar integral self-affine tilings