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

Abstract

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.

10 pages 10 figures. arXiv admin note: text overlap with arXiv:1707.02875