TY  - JOUR
TI  - An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation
AB  - 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.
AU  - Demir, Bünyamin
AU  - Saltan, Mustafa
AU  - Özdemir, Yunus
DO  - 10.3906/mat-1702-55
PY  - 2018
JO  - Turkish Journal of Mathematics
VL  - 42
IS  - 2
SN  - 1300-0098
SP  - 716
EP  - 725
DB  - TRDizin
UR  - http://search/yayin/detay/1107301
ER  -