Radix expansions and connectedness of planar self-affine fractals

DOI10.1007/s00605-020-01461-0zbMath1450.28010OpenAlexW3080364625MaRDI QIDQ2006798

Lian Wang, King-Shun Leung

Publication date: 12 October 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-020-01461-0

zbMATH Keywords

connectednessradix expansionself-affine setneighbor-generating scheme

Mathematics Subject Classification ID

Fractals (28A80) Connected and locally connected spaces (general aspects) (54D05) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

• Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets
• Connectedness of a class of planar self-affine tiles
• On the connectedness of planar self-affine sets
• Self-affine manifolds
• Connectedness of planar self-affine sets associated with non-collinear digit sets
• A survey on topological properties of tiles related to number systems
• A characterization of connected self-affine fractals arising from collinear digits
• Topological properties of self-similar fractals with one parameter
• Disklikeness of planar self-affine tiles
• On the structure of self-similar sets
• Classification of Self-Affine Lattice Tilings
• On the Connectedness of Self-Affine Tiles
• Topological properties of a class of self-affine tiles in $\mathbb {R}^3$
• Remarks on Self-Affine Tilings
• CONNECTEDNESS OF A CLASS OF SELF-AFFINE CARPETS
• Self-similar lattice tilings
• Disk-like self-affine tiles in \(\mathbb{R}^2\)

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