The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations

Aslıhan İklim ŞEN; Mustafa SALTAN

doi:https://doi.org/10.3906/mat-1909-68

Makale detayları

The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations

Yazarlar:

Aslıhan İklim ŞEN | Mustafa SALTAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 2, pp.356-377

Belge Tipi:

Makale

Yayın Tarihi:

2/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745447

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1909-68

Özet:

 

To formulate the intrinsic metrics by using the code representations of the points on the classical fractals is an important research area since these formulas help to prove many geometrical and structural properties of these fractals. In various studies, the intrinsic metrics on the code set of the Sierpinski gasket, the Sierpinski tetrahedron, and the Vicsek  box  fractal are explicitly formulated. However, in the literature, there are not many works on the intrinsic metric that is obtained by the code representations of the points on fractals. Moreover, as seen in the studies on this subject, the contraction coefficients of the associated iterated function systems  IFSs  are the same for each fractal. In this paper, we define the intrinsic metric formula on the added Sierpinski triangle, whose IFS has different contraction factors, by using the code representations of the points of it. Finally, we give several geometrical properties of this fractal by using the intrinsic metric formula.

Makale detayları

The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations

Yazarlar: Aslıhan İklim ŞEN | Mustafa SALTAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2020 Vol.44 Issue 2, pp.356-377

Belge Tipi: Makale

Yayın Tarihi: 2/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000745447

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

DOI: https://doi.org/10.3906/mat-1909-68

Sayı

Yazarlar:

Aslıhan İklim ŞEN | Mustafa SALTAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 2, pp.356-377

Belge Tipi:

Makale

Yayın Tarihi:

2/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745447

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1909-68