Disk-like tiles derived from complex bases

DOI10.1007/S10114-004-0354-YzbMath1063.11006OpenAlexW2062243990MaRDI QIDQ705109

Jun Luo, Zuo Ling Zhou

Publication date: 25 January 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0354-y

zbMATH Keywords

fractalsradix representationself-affine tile

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Fractals (28A80) Relations of low-dimensional topology with graph theory (57M15) Radix representation; digital problems (11A63) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (5)

The properties of a family of tiles with a parameter ⋮ Boundary local connectivity of tiles in \(\mathbb R^2\) ⋮ Self-affine manifolds ⋮ Topology of crystallographic tiles ⋮ Every component of a fractal square is a Peano continuum

Cites Work

• The Fractal Dimension of Sets Derived from Complex Bases
• Classification of Self-Affine Lattice Tilings
• TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
• Remarks on the theory of prime ends
• Disk-like self-affine tiles in \(\mathbb{R}^2\)
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