The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations

DOI10.3906/MAT-1909-68zbMath1455.28008OpenAlexW3042672201MaRDI QIDQ4970771

Aslıhan İklim Şen, Mustafa Saltan

Publication date: 7 October 2020

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://dergipark.org.tr/tr/pub/tbtkmath/issue/53824/723630

zbMATH Keywords

Sierpinski gasketfractalintrinsic metriccode representation

Mathematics Subject Classification ID

Fractals (28A80)

Cites Work

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• The average distance on the Sierpiński gasket
• Equidistribution and Brownian motion on the Sierpiński gasket
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• The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron
• The intrinsic metric on the box fractal
• Intrinsic metrics on Sierpinski-like triangles and their geometric properties
• Distances in Sierpiński graphs and on the Sierpiński gasket
• Isoperimetric Estimates on Sierpinski Gasket Type Fractals
• An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation
• GEODESICS OF THE SIERPINSKI GASKET
• GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET
• A geometric property of the Sierpiński carpet
• A discrete chaotic dynamical system on the Sierpinski gasket
• Shortest Paths in the Tower of Hanoi Graph and Finite Automata

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