Symmetries of fractals revisited

DOI10.1007/BF03024816zbMath0847.30018OpenAlexW2069994471MaRDI QIDQ1914968

Dierk Schleicher, Eike Lau

Publication date: 26 September 1996

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03024816

zbMATH Keywords

Julia setsymmetriesMandelbrot set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (15)

Application of Fixed Point Iterative Methods to Construct Fractals and Anti-fractals ⋮ A remark on Zagier's observation of the Mandelbrot set ⋮ Cross-sections of the multicorns ⋮ TRICOMPLEX DYNAMICAL SYSTEMS GENERATED BY POLYNOMIALS OF ODD DEGREE ⋮ On Rational Maps with Two Critical Points ⋮ On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials ⋮ Taylor Coefficients of the Conformal Map for the Exterior of the Reciprocal of the Multibrot Set ⋮ Hausdorff Convergence and the Limit Shape of the Unicorns ⋮ GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH ⋮ Cross-sections of multibrot sets ⋮ ON MULTICORNS AND UNICORNS I: ANTIHOLOMORPHIC DYNAMICS, HYPERBOLIC COMPONENTS AND REAL CUBIC POLYNOMIALS ⋮ Tricorns and multicorns of \(S\)-iteration scheme ⋮ Preperiodic portraits for unicritical polynomials ⋮ Exponential Thurston maps and limits of quadratic differentials ⋮ Optimal Control and Synchronization of Alternated Julia Sets

Cites Work

• Symmetry groups of fractals
• Symmetries of fractals
• Symmetries of Julia sets
• Connectedness of the tricorn
• Symmetries of Julia Sets
• On the structure of the Mandelbar set
• ON MULTICORNS AND UNICORNS I: ANTIHOLOMORPHIC DYNAMICS, HYPERBOLIC COMPONENTS AND REAL CUBIC POLYNOMIALS
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