On Dendrites Generated by Symmetric Polygonal Systems: The Case of Regular Polygons

  • Mary SamuelEmail author
  • Dmitry Mekhontsev
  • Andrey Tetenov
Conference paper
Part of the Trends in Mathematics book series (TM)


We define G-symmetric polygonal systems of similarities and study the properties of symmetric dendrites, which appear as their attractors. This allows us to find the conditions under which the attractor of a zipper becomes a dendrite.



Supported by Russian Foundation of Basic Research projects 16-01-00414 and 18-501-51021


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Mary Samuel
    • 1
    Email author
  • Dmitry Mekhontsev
    • 2
  • Andrey Tetenov
    • 2
    • 3
    • 4
  1. 1.Department of MathematicsBharata Mata CollegeKochiIndia
  2. 2.Sobolev Mathematics InstituteNovosibirskRussia
  3. 3.Gorno-Altaisk State UniversityAltay RepublitsRussia
  4. 4.Novosibirsk State UniversityNovosibirskRussia

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