GEODESICS OF THE SIERPINSKI GASKET

DOI10.1142/S0218348X1850024XzbMath1433.28028OpenAlexW2792639351MaRDI QIDQ4959948

Bünyamin Demir, Yunus Özdemir, Mustafa Saltan

Publication date: 7 April 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x1850024x

zbMATH Keywords

geodesicSierpinski gasketintrinsic metriccode representation

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (8)

A metric formula on a quotient space which is related to the sequence space $\Sigma _{2}$ ⋮ INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS ⋮ The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron ⋮ Geodesic interpolation on Sierpiński gaskets ⋮ The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations ⋮ Mean geodesic distance of the level-\(n\) Sierpinski gasket ⋮ The intrinsic metric on the box fractal ⋮ The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller

Cites Work

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• The average distance on the Sierpiński gasket
• Equidistribution and Brownian motion on the Sierpiński gasket
• Sierpiński gasket as a Martin boundary. II: The intrinsic metric
• Distances in Sierpiński graphs and on the Sierpiński gasket
• An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation

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