Boundary parametrization of planar self-affine tiles with collinear digit set
From MaRDI portal
Publication:625871
DOI10.1007/S11425-010-4096-2zbMath1209.28004OpenAlexW2032232289MaRDI QIDQ625871
Benoît Loridant, Shigeki Akiyama
Publication date: 25 February 2011
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-010-4096-2
Related Items (9)
Boundaries of disk-like self-affine tiles ⋮ Self-affine tiles generated by a finite number of matrices ⋮ Representations for complex numbers with integer digits ⋮ Space-filling curves of self-similar sets (II): edge-to-trail substitution rule ⋮ Boundary parametrization of self-affine tiles ⋮ Topology of a class of \(p2\)-crystallographic replication tiles ⋮ Topology of planar self-affine tiles with collinear digit set ⋮ Substitutive number systems ⋮ BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary parametrization of self-affine tiles
- Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
- On the fractal curves induced from the complex radix expansion
- Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
- Replicating superfigures and endomorphisms of free groups
- Recurrent sets
- Self-affine tiles in \(\mathbb{R}^n\)
- The topological structure of fractal tilings generated by quadratic number systems
- On single-matrix graph-directed iterated function systems
- Disklikeness of planar self-affine tiles
- Hausdorff Dimension in Graph Directed Constructions
- On a generalized dimension of self‐affine fractals
- Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
- Dynamics of self-similar tilings
- Canonical number systems, counting automata and fractals
- TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
- Self-similar lattice tilings
- Disk-like self-affine tiles in \(\mathbb{R}^2\)
This page was built for publication: Boundary parametrization of planar self-affine tiles with collinear digit set
