The group of isometries of a self-similar set

DOI10.1016/j.jmaa.2012.02.063zbMath1241.28006OpenAlexW2081808457MaRDI QIDQ425322

Manuel Morán

Publication date: 8 June 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.063

zbMATH Keywords

self-similar setgroup of symmetries

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (3)

Generating Iterated Function Systems for the Vicsek Snowflake and the Koch Curve ⋮ Generating iterated function systems for self-similar sets with a separation condition ⋮ On the group of isometries of planar IFS fractals*

Cites Work

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• Classical tessellations and three-manifolds
• Hausdorff measure of infinitely generated self-similar sets
• Fractals and hyperspaces
• Self-similar sets of zero Hausdorff measure and positive packing measure
• Fractaln-gons and their Mandelbrot sets
• Symmetry and enumeration of self-similar fractals

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