On certain families of planar patterns and fractals

Abstract

This survey article is dedicated to some families of fractals that were introduced and studied during the last decade, more precisely, families of Sierpiński carpets: limit net sets, generalised Sierpiński 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.

survey article, 10 pages, 7 figures