activity
20132021
most citedMixed labyrinth fractals

14 citations · 24 across the 4 of their papers we have counts for

collaborators

9 papers

math.DS2021

On the dimension of arcs in mixed labyrinth fractals

Ligia L. Cristea, Damir Vukicevic

Mixed labyrinth fractals are dendrites in the unit square introduced by Cristea and Steinsky. They were studied recently by Cristea and Leobacher with respect to the lengths of arc…

math.GN2020★ 14 cited

Mixed labyrinth fractals

Ligia L. Cristea, Bertran Steinsky

Labyrinth fractals are self-similar fractals that were introduced and studied in recent work by Cristea and Steinsky. In the present paper we define and study more general objects,…

math.CO2020

Triangular labyrinth fractals

Ligia L. Cristea, Paul Surer

We define and study a class of fractal dendrites called triangular labyrinth fractals. For the construction, we use triangular labyrinth patterns systems that consist of two triang…

math.DS2018★ 4 cited

On the length of arcs in labyrinth fractals

Ligia L. Cristea, Gunther Leobacher

Labyrinth fractals are self-similar dendrites in the unit square that are defined with the help of a labyrinth set or a labyrinth pattern. In the case when the fractal is generated…

math.GT2018

Supermixed labyrinth fractals

Ligia L. Cristea, Gunther Leobacher

Labyrinth fractals are dendrites in the unit square. They were introduced and studied in the last decade first in the self-similar case [Cristea & Steinsky (2009,2011)], then in th…

math.GN2017

On certain families of planar patterns and fractals

Ligia L. Cristea

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 set…