Title: 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.