An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation

Demir, Bünyamin; Saltan, Mustafa; Özdemir, Yunus

doi:10.3906/mat-1702-55

An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation

Mustafa SALTAN, (Anadolu Üniversitesi, Eğitim Fakültesi, Matematik Bölümü, Eskişehir, Türkiye)

Yunus ÖZDEMİR, (Anadolu Üniversitesi, Eğitim Fakültesi, Matematik Bölümü, Eskişehir, Türkiye)

Bünyamin DEMİR (Anadolu Üniversitesi, Eğitim Fakültesi, Matematik Bölümü, Eskişehir, Türkiye)

Turkish Journal of Mathematics

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Yıl: 2018 Cilt: 42 Sayı: 2 Sayfa Aralığı: 716 - 725 Metin Dili: İngilizce DOI: 10.3906/mat-1702-55 İndeks Tarihi: 03-08-2022

An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation

Öz:

The computation of the distance between any two points of the Sierpinski gasket with respect to the intrinsic metric has already been investigated by several authors. However, to the best of our knowledge, in the literature there is not an explicit formula obtained by using the code set of the Sierpinski gasket. In this paper, we obtain an explicit formula for the intrinsic metric on the Sierpinski gasket via the code representations of its points. We finally give an important geometrical property of the Sierpinski gasket with regard to the intrinsic metric by using its code representation.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Saltan M, Özdemir Y, Demir B (2018). An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. , 716 - 725. 10.3906/mat-1702-55
Chicago	Saltan Mustafa,Özdemir Yunus,Demir Bünyamin An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. (2018): 716 - 725. 10.3906/mat-1702-55
MLA	Saltan Mustafa,Özdemir Yunus,Demir Bünyamin An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. , 2018, ss.716 - 725. 10.3906/mat-1702-55
AMA	Saltan M,Özdemir Y,Demir B An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. . 2018; 716 - 725. 10.3906/mat-1702-55
Vancouver	Saltan M,Özdemir Y,Demir B An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. . 2018; 716 - 725. 10.3906/mat-1702-55
IEEE	Saltan M,Özdemir Y,Demir B "An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation." , ss.716 - 725, 2018. 10.3906/mat-1702-55
ISNAD	Saltan, Mustafa vd. "An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation". (2018), 716-725. https://doi.org/10.3906/mat-1702-55

APA	Saltan M, Özdemir Y, Demir B (2018). An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. Turkish Journal of Mathematics, 42(2), 716 - 725. 10.3906/mat-1702-55
Chicago	Saltan Mustafa,Özdemir Yunus,Demir Bünyamin An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. Turkish Journal of Mathematics 42, no.2 (2018): 716 - 725. 10.3906/mat-1702-55
MLA	Saltan Mustafa,Özdemir Yunus,Demir Bünyamin An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. Turkish Journal of Mathematics, vol.42, no.2, 2018, ss.716 - 725. 10.3906/mat-1702-55
AMA	Saltan M,Özdemir Y,Demir B An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. Turkish Journal of Mathematics. 2018; 42(2): 716 - 725. 10.3906/mat-1702-55
Vancouver	Saltan M,Özdemir Y,Demir B An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation. Turkish Journal of Mathematics. 2018; 42(2): 716 - 725. 10.3906/mat-1702-55
IEEE	Saltan M,Özdemir Y,Demir B "An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation." Turkish Journal of Mathematics, 42, ss.716 - 725, 2018. 10.3906/mat-1702-55
ISNAD	Saltan, Mustafa vd. "An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation". Turkish Journal of Mathematics 42/2 (2018), 716-725. https://doi.org/10.3906/mat-1702-55