The intrinsic metric and geodesics on the Sierpinski gasket SG(3)

Authors : Yunus Özdemir

Pages : 2741-2754

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Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : Sierpinski gasket, mod-3 Pascal-Sierpinski gasket, intrinsic metric, geodesic