Geodesics in generalizations of the Sierpinski carpet

DOI10.1090/CONM/797/15950MaRDI QIDQ6494703

Derek L. Smith, Ethan Berkove, Elene Karangozishvili

Publication date: 30 April 2024

zbMATH Keywords

geodesicSierpinski carpet1-normMenger sponge

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fractals (28A80)

Cites Work

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• Periodic billiard orbits of self-similar Sierpiński carpets
• On the connectivity of attractors of iterated function systems
• Manhattan property of geodesic paths on self-affine carpets
• Mean geodesic distance of the level-\(n\) Sierpinski gasket
• Average geodesic distance of skeleton networks of Sierpinski tetrahedron
• 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 THE SIERPINSKI GASKET
• GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET
• MEAN GEODESIC DISTANCE OF n-LEVEL SIERPINSKI CARPET
• GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE
• AVERAGE GEODESIC DISTANCE ON SIERPINSKI HEXAGON AND SIERPINSKI HEXAGON NETWORKS
• AVERAGE GEODESIC DISTANCE OF SIERPINSKI CARPET
• A geometric property of the Sierpiński carpet

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