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

Authors

MUSTAFA SALTAN
YUNUS ÖZDEMİR
BÜNYAMİN DEMİR

DOI

10.3906/mat-1702-55

Abstract

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.

Keywords

Sierpinski gasket, code representation, intrinsic metric

First Page

716

Last Page

725

Recommended Citation

SALTAN, MUSTAFA; ÖZDEMİR, YUNUS; and DEMİR, BÜNYAMİN (2018) "An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation," Turkish Journal of Mathematics: Vol. 42: No. 2, Article 24. https://doi.org/10.3906/mat-1702-55
Available at: https://journals.tubitak.gov.tr/math/vol42/iss2/24