Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices

DOI10.1016/J.JMAA.2015.10.081zbMath1330.52023OpenAlexW2215072681MaRDI QIDQ898869

Sze-Man Ngai, Juan Tao, Jing-Cheng Liu

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.081

zbMATH Keywords

connectednessdigit setself-affine tile

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (6)

Self-affine tiles generated by a finite number of matrices ⋮ A class of self-affine tiles in \(\mathbb{R}^3\) that are tame balls revisited ⋮ On a planar six-neighbor theorem and its application ⋮ AFFINE MAURER–CARTAN INVARIANTS AND THEIR APPLICATIONS IN SELF-AFFINE FRACTALS ⋮ Topological Properties of a Class of Higher-dimensional Self-affine Tiles ⋮ A class of self-affine tiles in \(\mathbb{R}^d\) that are \(d\)-dimensional tame balls

Cites Work

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• Disklikeness of planar self-affine tiles
• On the structure of self-similar sets
• Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
• On the Connectedness of Self-Affine Tiles
• Remarks on Self-Affine Tilings
• Self-similar lattice tilings

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