English

On certain families of planar patterns and fractals

General Topology 2017-07-19 v1 Dynamical Systems

Abstract

This survey article is dedicated to some families of fractals that were introduced and studied during the last decade, more precisely, families of Sierpi\'nski carpets: limit net sets, generalised Sierpi\'nski carpets and labyrinth fractals. We give a unifying approach of these fractals and several of their topological and geometrical properties, by using the framework of planar patterns.

Keywords

Cite

@article{arxiv.1707.05737,
  title  = {On certain families of planar patterns and fractals},
  author = {Ligia L. Cristea},
  journal= {arXiv preprint arXiv:1707.05737},
  year   = {2017}
}

Comments

survey article, 10 pages, 7 figures