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Space-filling curves and geodesic laminations. II: Symmetries

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Publication:431188
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DOI10.1007/s00605-012-0406-9zbMath1312.28011OpenAlexW1966375970MaRDI QIDQ431188

Victor F. Sirvent

Publication date: 26 June 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0406-9


zbMATH Keywords

symmetriesfractalsiterated function systemsspace filling curvesgeodesic laminations


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Fractals (28A80)


Related Items

Space-filling curves of self-similar sets (II): edge-to-trail substitution rule ⋮ Self-similar sets satisfying the common point property



Cites Work

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  • Boundary parametrization of self-affine tiles
  • Space filling curves and geodesic laminations
  • Space-filling curves
  • Geodesic laminations as geometric realizations of Arnoux-Rauzy sequences
  • Invariant factors, Julia equivalences and the (abstract) Mandelbrot set
  • On the structure of self-similar sets
  • Geodesic laminations as geometric realizations of Pisot substitutions
  • Symmetry and enumeration of self-similar fractals
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