Topological properties of two-dimensional number systems

DOI10.5802/JTNB.265zbMath1012.11072OpenAlexW2044524872MaRDI QIDQ5939695

Jörg M. Thuswaldner, Shigeki Akiyama

Publication date: 30 July 2001

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2000__12_1_69_0

zbMATH Keywords

arcwise connectedfundamental domainradix representation

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Radix representation; digital problems (11A63)

Related Items (16)

Dynamical directions in numeration ⋮ The topological structure of fractal tilings generated by quadratic number systems ⋮ The properties of a family of tiles with a parameter ⋮ Topological structure of a class of planar self-affine sets ⋮ Power integral bases for certain pure sextic fields ⋮ Fractal tiles associated with shift radix systems ⋮ Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert ⋮ A class of self-affine tiles in \(\mathbb{R}^3\) that are tame balls revisited ⋮ Disk-like tiles and self-affine curves with noncollinear digits ⋮ Boundary parametrization of self-affine tiles ⋮ Number systems, \(\alpha\)-splines and refinement ⋮ On canonical number systems ⋮ REMARKS ON SELF-AFFINE FRACTALS WITH POLYTOPE CONVEX HULLS ⋮ On cut sets of attractors of iterated function systems ⋮ A class of self-affine tiles in \(\mathbb{R}^d\) that are \(d\)-dimensional tame balls ⋮ Disklikeness of planar self-affine tiles

Cites Work

• On the fractal curves induced from the complex radix expansion
• On the structure of self-similar sets
• Canonical number systems in imaginary quadratic fields
• Complex Numbers with Three Radix Expansions
• Canonical number systems in algebraic number fields
• Fractal properties of number systems
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