GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE

DOI10.1142/S0218348X20501200MaRDI QIDQ5085427

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Publication date: 27 June 2022

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

diametergeodesicSierpinski carpetrectifiable curveMenger sponge

Mathematics Subject Classification ID

Brownian motion (60J65) Fractals (28A80) Vertex degrees (05C07)

Cites Work

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• An efficient algorithm to determine all shortest paths in Sierpiński graphs
• Periodic billiard orbits of self-similar Sierpiński carpets
• The average distance on the Sierpiński gasket
• Manhattan property of geodesic paths on self-affine carpets
• Quasisymmetric rigidity of square Sierpiński carpets
• Average geodesic distance of skeleton networks of Sierpinski tetrahedron
• Distances in Sierpiński graphs and on the Sierpiński gasket
• Rectifiable curves in Sierpinski carpets
• Isoperimetric Estimates on Sierpinski Gasket Type Fractals
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• AVERAGE GEODESIC DISTANCE OF SIERPINSKI GASKET AND SIERPINSKI NETWORKS
• GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET
• AVERAGE GEODESIC DISTANCE ON SIERPINSKI HEXAGON AND SIERPINSKI HEXAGON NETWORKS
• AVERAGE GEODESIC DISTANCE OF SIERPINSKI CARPET
• Erratum to: Rectifiable curves in Sierpinski carpets, volume 60:1 (2011), 285--309
• A geometric property of the Sierpiński carpet

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