Mandelbrot set + symmetry groups \(\ast \) higher dimensions = ?

DOI10.1007/s00454-012-9431-7zbMath1259.28011OpenAlexW1963496695MaRDI QIDQ1930536

Elizabeth R. Chen

Publication date: 11 January 2013

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-012-9431-7

zbMATH Keywords

symmetry groupshigher dimensionsfractalsMandelbrot setMandalaBeth

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Fractals (28A80) Symmetry properties of polytopes (52B15)

Cites Work

• Similarity between the Mandelbrot set and Julia sets
• Connected neighbourhoods of Misiurewicz points
• Extensions of homeomorphisms between limbs of the Mandelbrot set
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