Mustafa SALTAN, Yunus ÖZDEMİR, Bünyamin DEMİR

6586

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

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,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

An application of $q$-Sumudu transform for fractional $q$-kinetic equationequatio

Sunil Dutt PUROHIT, Faruk UÇAR

Nageswara Rao KARREY, Germina Kizhekekunnel AUGUSTINE

Sunil Dutt PUROHIT, Faruk UÇAR

Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and $p$-adic $q$-integralspolynomials via Dirichlet character and $p$-adic $q$-integrals

Yılmaz ŞİMŞEK

Applications of extended Watson’s summation theorem

Young Sup KIM, Sebastien GABOURY, Arjun Kumar RATHIE

Saida SANDEL, Abdelhamid AYADI

Nurbol ISMAILOV, Şuayip YÜZBAŞI

Ümit IŞLAK

On the Fekete–Szegö type functionals for starlike and convex functions

Pawel ZAPRAWA

Barbara OPOZDA, Wlodzimierz M. MIKULSKI