On Dendrites Generated By Symmetric Polygonal Systems: The Case of Regular Polygons
Metric Geometry
2018-02-13 v1 Dynamical Systems
Abstract
We define -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.
Cite
@article{arxiv.1802.04148,
title = {On Dendrites Generated By Symmetric Polygonal Systems: The Case of Regular Polygons},
author = {Mary Samuel and Dmitry Mekhontsev and Andrey Tetenov},
journal= {arXiv preprint arXiv:1802.04148},
year = {2018}
}
Comments
10 pages 10 figures. arXiv admin note: text overlap with arXiv:1707.02875