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

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.

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Bibliographic Details
Published in:arXiv.org 2018-02
Main Authors: Samuel, Mary, Mekhontsev, Dmitry, Tetenov, Andrey
Format: Article
Language:English
Subjects:
Dendritic structure
Polygons
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422