Topology of connected self-similar tiles in the plane with disconnected interiors
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Publication:1779519
DOI10.1016/j.topol.2004.11.009zbMath1077.37019OpenAlexW2091470825MaRDI QIDQ1779519
Publication date: 1 June 2005
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2004.11.009
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Related Items (20)
On the fundamental group of self-affine plane tiles ⋮ A survey on topological properties of tiles related to number systems ⋮ Boundary local connectivity of tiles in \(\mathbb R^2\) ⋮ Topological properties of self-similar fractals with one parameter ⋮ Self-affine tiles generated by a finite number of matrices ⋮ Topological properties of a class of self-affine tiles in $\mathbb {R}^3$ ⋮ On self-affine tiles that are homeomorphic to a ball ⋮ Interior components of a tile associated to a quadratic canonical number system ⋮ CONNECTEDNESS OF A CLASS OF SELF-AFFINE CARPETS ⋮ Topology of crystallographic tiles ⋮ A 1-dimensional Peano continuum which is not an IFS attractor ⋮ Geometry of canonical self-similar tilings ⋮ Disk-like tiles and self-affine curves with noncollinear digits ⋮ The finite number of interior component shapes of the Levy dragon ⋮ Topology of planar self-affine tiles with collinear digit set ⋮ On self-affine tiles whose boundary is a sphere ⋮ On cut sets of attractors of iterated function systems ⋮ THE CRAB: A CONNECTED FRACTILE OF INFINITE CONNECTIVITY ⋮ Topological structure of fractal squares ⋮ BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES
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- Inside the Levy Dragon
- A TECHNIQUE IN THE TOPOLOGY OF CONNECTED SELF-SIMILAR TILES
- TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
- Disk-like self-affine tiles in \(\mathbb{R}^2\)
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