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Symmetry 2018, 10(6), 204; https://doi.org/10.3390/sym10060204

Intrinsic Metrics on Sierpinski-Like Triangles and Their Geometric Properties

Department of Mathematics, Anadolu University, Eskişehir 26470, Turkey
Received: 8 May 2018 / Revised: 3 June 2018 / Accepted: 5 June 2018 / Published: 7 June 2018
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Abstract

The classical Sierpinski Gasket defined on the equilateral triangle is a typical example of fractals. Sierpinski-like triangles can also be constructed on isosceles or scalene triangles. An explicit formula for the intrinsic metric on the classical Sierpinski Gasket via code representation of its points is given. The aim of this paper is to generalize this formula to the Sierpinski-like triangles. We also investigate geometrical properties of these triangles with respect to the intrinsic metric. Moreover, we describe certain properties of the classical Sierpinski gasket which are not shared by all of its analogues. View Full-Text
Keywords: Sierpinski Gasket; fractals; code representation; intrinsic metric Sierpinski Gasket; fractals; code representation; intrinsic metric
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Saltan, M. Intrinsic Metrics on Sierpinski-Like Triangles and Their Geometric Properties. Symmetry 2018, 10, 204.

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