Work

Construction of a Dynamical System on the Sierpinski Gasket $SG(3)$

Year: 2025

Type: article

Abstract: Classical Sierpinski gasket is one of the fundamental examples of self-similar sets. This set is also named as mod-$2$ Sierpinski gasket. In this study, we mention the mod-$3$ Sierpinski gasket and obtain this self-similar set by using the escape time algorithm with some special mappings. Then, we express a dynamical system on the mod-$3$ Sierpinski gasket with the help of the code representations of its points.

Source: International Electronic Journal of Geometry

DOI: 10.36890/iejg.1689189

Authors: Nisa Aslan, Mustafa Saltan

Institution: Eskisehir Technical University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Eskişehir Teknik Üniversitesi

Award: G1404099286