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The boundaries of self-similar tiles in \(\mathbb{R}^n\)

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Publication:1296289
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DOI10.1016/S0166-8641(98)00031-5zbMath0986.28012OpenAlexW2025746983MaRDI QIDQ1296289

James E.Keesling

Publication date: 2 December 1999

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00031-5


zbMATH Keywords

Hausdorff dimensionself-similar setstopological boundary


Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)


Related Items (8)

Dimensions of the Boundaries of Self-Similar Sets ⋮ The properties of a family of tiles with a parameter ⋮ On strong affine representations of the polycyclic monoids ⋮ On boundaries of attractors in dynamical systems ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ Lattice substitution systems and model sets ⋮ Pure point spectrum and regular model sets in substitution tilings on \(\mathbb{R}^d\) ⋮ On properties of similarity boundary of attractors in product dynamical systems






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