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

Yıl: 2020 Cilt: 44 Sayı: 2 Sayfa Aralığı: 356 - 377 Metin Dili: İngilizce DOI: 10.3906/mat-1909-68 İndeks Tarihi: 05-05-2020

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

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

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
APA İKLİM ŞEN A, SALTAN M (2020). The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. , 356 - 377. 10.3906/mat-1909-68
Chicago İKLİM ŞEN Aslıhan,SALTAN MUSTAFA The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. (2020): 356 - 377. 10.3906/mat-1909-68
MLA İKLİM ŞEN Aslıhan,SALTAN MUSTAFA The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. , 2020, ss.356 - 377. 10.3906/mat-1909-68
AMA İKLİM ŞEN A,SALTAN M The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. . 2020; 356 - 377. 10.3906/mat-1909-68
Vancouver İKLİM ŞEN A,SALTAN M The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. . 2020; 356 - 377. 10.3906/mat-1909-68
IEEE İKLİM ŞEN A,SALTAN M "The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations." , ss.356 - 377, 2020. 10.3906/mat-1909-68
ISNAD İKLİM ŞEN, Aslıhan - SALTAN, MUSTAFA. "The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations". (2020), 356-377. https://doi.org/10.3906/mat-1909-68
APA İKLİM ŞEN A, SALTAN M (2020). The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. Turkish Journal of Mathematics, 44(2), 356 - 377. 10.3906/mat-1909-68
Chicago İKLİM ŞEN Aslıhan,SALTAN MUSTAFA The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. Turkish Journal of Mathematics 44, no.2 (2020): 356 - 377. 10.3906/mat-1909-68
MLA İKLİM ŞEN Aslıhan,SALTAN MUSTAFA The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. Turkish Journal of Mathematics, vol.44, no.2, 2020, ss.356 - 377. 10.3906/mat-1909-68
AMA İKLİM ŞEN A,SALTAN M The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. Turkish Journal of Mathematics. 2020; 44(2): 356 - 377. 10.3906/mat-1909-68
Vancouver İKLİM ŞEN A,SALTAN M The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. Turkish Journal of Mathematics. 2020; 44(2): 356 - 377. 10.3906/mat-1909-68
IEEE İKLİM ŞEN A,SALTAN M "The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations." Turkish Journal of Mathematics, 44, ss.356 - 377, 2020. 10.3906/mat-1909-68
ISNAD İKLİM ŞEN, Aslıhan - SALTAN, MUSTAFA. "The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations". Turkish Journal of Mathematics 44/2 (2020), 356-377. https://doi.org/10.3906/mat-1909-68