Connected generalised Sierpiński carpets

DOI10.1016/J.TOPOL.2010.02.005zbMath1195.28008OpenAlexW2056271805MaRDI QIDQ968910

Bertran Steinsky, Ligia Loreta Cristea

Publication date: 10 May 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.02.005

zbMATH Keywords

graphSierpinski carpetfractalconnected set

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Fractals (28A80) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (5)

Mixed labyrinth fractals ⋮ The topological Hausdorff dimension and transport properties of Sierpiński carpets ⋮ Gap sequences of fractal squares ⋮ Noteworthy fractal features and transport properties of Cantor tartans ⋮ Fractal squares with finitely many connected components ^*

Cites Work

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• On the connectedness of limit net sets
• Modelling porous structures by repeated Sierpinski carpets
• On the structure of self-similar sets
• The pore structure of Sierpinski carpets

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