Quadrilateral Labyrinth Fractals

TL;DR

This paper introduces and analyzes quadrilateral labyrinth fractals, a new class of fractals on quadrilaterals, extending previous work on labyrinth fractals on squares and triangles, and explores their topological properties.

Contribution

It presents the construction method for quadrilateral labyrinth fractals and investigates their topological characteristics, expanding the understanding of labyrinth fractals on arbitrary quadrilaterals.

Findings

Constructed a new class of fractals on quadrilaterals.

Analyzed the topological properties of these fractals.

Extended previous labyrinth fractal models to more general quadrilaterals.

Abstract

In this paper, a class of fractals, called quadrilateral labyrinth fractals, are introduced and studied. They are a special kind of fractals on any quadrilateral on the plane. This type of fractal is motivated by labyrinth fractal on the unit square and triangle, which were already studied. This paper mainly deals with the construction of quadrilateral labyrinth fractal and studying its topological properties.