On a theorem of Bandt and Wang and its extension to \(p2\)-tiles

DOI10.1007/s00454-008-9129-zzbMath1166.52015OpenAlexW2093185178MaRDI QIDQ1016535

Jun Luo, Benoît Loridant

Publication date: 6 May 2009

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-008-9129-z

zbMATH Keywords

tilingcrystallographic reptileshomeomorphy to a disk

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (4)

Topology of a class of \(p2\)-crystallographic replication tiles ⋮ Crystallographic number systems ⋮ Every component of a fractal square is a Peano continuum ⋮ BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES

Cites Work

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• Vertices of self-similar tiles
• Crystallographic reptiles
• The topological structure of fractal tilings generated by quadratic number systems
• Topology of crystallographic tiles
• When Soap Bubbles Collide
• On the structure of self-similar sets
• On the Connectedness of Self-Affine Tiles
• On the boundary connectedness of connected tiles
• Disk-like self-affine tiles in \(\mathbb{R}^2\)

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