In recent years, the intrinsic metrics have been formulated on the classical fractals. In particular, Sierpinski-like triangles such as equilateral, isosceles, scalene, added and mod$-3$ Sierpinski triangle have been considered in many different studies. The intrinsic metrics can be defined in different ways. One of the methods applied to obtain the intrinsic metric formulas is to use the code representations of the points on these self-similar sets. To define the intrinsic metrics via the code representations of the points on fractals makes also possible to investigate different geometrical, topological properties and geodesics of these sets. In this paper, we investigate some circles and closed sets of the added Sierpinski triangle and express them as the code sets by using its intrinsic metric.
Sierpinski gasket fractal intrinsic metric code representation
TÜBİTAK
118F356
The authors would like to thank TÜBİTAK for their support of the project.
118F356
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Proje Numarası | 118F356 |
Erken Görünüm Tarihi | 15 Ağustos 2023 |
Yayımlanma Tarihi | 29 Şubat 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 53 Sayı: 1 |