The topological structure of fractal tilings generated by quadratic number systems
Copyright policy )The topological structure of fractal tilings generated by quadratic number systems
The authors study topological properties of tilings associated with number systems of \(\mathbb Z[\alpha]\), where \(\alpha\) is a quadratic number: fractal boundary, interior, graphs determining the set of neighbors of a given tile. Their approach is twofold, using both geometry of numbers and automata theory.
- Niigata University Japan
- University of Leoben Austria
Radix representation, Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Multi-dimensional shifts of finite type, tiling dynamics, Automata, Connectedness, Computational Mathematics, Fractals, Computational Theory and Mathematics, Combinatorial aspects of tessellation and tiling problems, Modelling and Simulation, Tilings in \(n\) dimensions (aspects of discrete geometry), Tiling, Fractal, Radix representation; digital problems
Radix representation, Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Multi-dimensional shifts of finite type, tiling dynamics, Automata, Connectedness, Computational Mathematics, Fractals, Computational Theory and Mathematics, Combinatorial aspects of tessellation and tiling problems, Modelling and Simulation, Tilings in \(n\) dimensions (aspects of discrete geometry), Tiling, Fractal, Radix representation; digital problems
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