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

2018/02/09 by Mary Samuel, Samuel, Mary, Dmitry Mekhontsev +3
Mathematics · #28A80 #Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG) #math.DS #math.MG #msc:28A80

paper · pdf · doi:10.48550/arxiv.1802.04148

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

arxiv created 2018/02/09 · arxiv updated 2018/02/13

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.

Citations

• On dendrites, generated by polyhedral systems and their ramification points

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