On the computation of some code sets of the added Sierpinski triangle

Aslıhan İklim Şen; Mustafa Saltan

Article Details

On the computation of some code sets of the added Sierpinski triangle

Authors:

Aslıhan İklim Şen | Mustafa Saltan

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.130-144

Document Type:

Article

Publication Date:

2/2024

Document Language:

English

Document ID (Org No.):

2001312252

pISSN:

2651-477X

Keywords:

Abstract:

 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.

 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.

 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.

 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.

Article Details

On the computation of some code sets of the added Sierpinski triangle

Authors:

Aslıhan İklim Şen | Mustafa Saltan

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.130-144

Document Type:

Article

Publication Date:

2/2024

Document Language:

English

Document ID (Org No.):

2001312252

pISSN:

2651-477X

Sierpinski gasket

fractal

intrinsic metric

code representation

Issues

Article Details

On the computation of some code sets of the added Sierpinski triangle

Authors: Aslıhan İklim Şen | Mustafa Saltan

Publisher: Hacettepe University

Main Topics: Mathematical Sciences

Journal: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.130-144

Document Type: Article

Publication Date: 2/2024

Document Language: English

Document ID (Org No.): 2001312252

pISSN: 2651-477X

Sierpinski gasket

fractal

intrinsic metric

code representation

Issues

Authors:

Aslıhan İklim Şen | Mustafa Saltan

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 1, pp.130-144

Document Type:

Article

Publication Date:

2/2024

Document Language:

English

Document ID (Org No.):

2001312252

pISSN:

2651-477X