Crystallographic number systems
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Publication:714973
DOI10.1007/s00605-011-0340-2zbMath1337.11004OpenAlexW2040726806MaRDI QIDQ714973
Publication date: 15 October 2012
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-011-0340-2
Other geometric groups, including crystallographic groups (20H15) Radix representation; digital problems (11A63) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Related Items (3)
Elementary fractal geometry. New relatives of the Sierpiński gasket ⋮ Topology of a class of \(p2\)-crystallographic replication tiles ⋮ A single fractal pinwheel tile
Cites Work
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- On a theorem of Bandt and Wang and its extension to \(p2\)-tiles
- Radix representations of quadratic fields
- Crystallographic reptiles
- On the characterization of canonical number systems
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- Integral self-affine tiles of Bandt's model
- The topological structure of fractal tilings generated by quadratic number systems
- Topology of crystallographic tiles
- Canonical number systems in imaginary quadratic fields
- Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
- Canonical number systems, counting automata and fractals
- Dynamical properties of quasihyperbolic toral automorphisms
- New criteria for canonical number systems
- Integral Self-Affine Tiles in ℝ n I. Standard and Nonstandard Digit Sets
- Generalized radix representations and dynamical systems II
- Self-similar lattice tilings
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