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Digit sets for self-similar tiles

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Publication:2355366
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DOI10.1007/s10255-015-0481-5zbMath1398.11053OpenAlexW1461114399MaRDI QIDQ2355366

Yu-Mei Xue, La-na Li

Publication date: 22 July 2015

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-015-0481-5


zbMATH Keywords

self-similar tileproduct-form digit setvery weak product-form digit setweak product-form digit set


Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)





Cites Work

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  • Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
  • Projecting the one-dimensional Sierpiński gasket
  • Tiling the line with translates of one tile
  • Self-affine tiles in \(\mathbb{R}^n\)
  • Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
  • Non-Negative Digit Sets in Positional Number Systems
  • On one-dimensional self-similar tilings and $pq$-tiles




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