Abstract

We give an explicit expression for the intrinsic metric on the Sierpinski gasket SG(3) (the mod-3 Sierpinski gasket) via code representation of its points. We also investigate the geodesics of SG(3) and determine the number of geodesics between two points.

DOI

10.3906/mat-1907-18

Keywords

Sierpinski gasket, mod-3 Pascal-Sierpinski gasket, intrinsic metric, geodesic

First Page

2741

Last Page

2754

Recommended Citation

ÖZDEMİR, Y (2019). The intrinsic metric and geodesics on the Sierpinski gasket SG(3). Turkish Journal of Mathematics 43 (6): 2741-2754. https://doi.org/10.3906/mat-1907-18

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