Intrinsic Metric Formulas on Some Self-Similar Sets via the Code Representation

Autor: Melis Güneri, Mustafa Saltan
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Fractal and Fractional, Vol 3, Iss 1, p 13 (2019)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract3010013
Popis: In recent years, intrinsic metrics have been described on various fractals with different formulas. The Sierpinski gasket is given as one of the fundamental models which defined the intrinsic metrics on them via the code representations of the points. In this paper, we obtain the explicit formulas of the intrinsic metrics on some self-similar sets (but not strictly self-similar), which are composed of different combinations of equilateral and right Sierpinski gaskets, respectively, by using the code representations of their points. We then express geometrical properties of these structures on their code sets and also give some illustrative examples.
Databáze: Directory of Open Access Journals