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Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 2

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

Mustafa SALTAN
Aslıhan İKLİM ŞEN
Sayfa
356–377
Yayın Tarihi
2022-11-04
DOI
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Finally, we give several geometrical properties of this fractalby using the intrinsic metric formula.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri:Moreover, as seen in the studies on thissubject, the contraction coefficients of the associated iterated function systems (IFSs) are the same for each fractal.
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Sonuç & Katkı:Finally, we give several geometrical properties of this fractalby using the intrinsic metric formula.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

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.

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Bu Makaleye Atıf Yap

SALTAN, M., ŞEN, A. İ. (2022). The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 2, 356–377. https://ajindex.com/articles/607485

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Kaynakça (16)

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