Significant Curves of the Mandelbrot Set

  • Dalibor Martisek Institute of Mathematics, Brno University of Technology
Keywords: Mandelbrot Set, Main Hyperbolic Component, Internal Bound, External Bound, Resultant of Polynomials


The paper provides a description of some interesant curves contained in the Mandelbrot set. These curves are the boundaries of the areas called „bulbs“ which are described approximately only in present. In this paper, some of them are described analyticaly – curves of so called first period, the boundary of the main hyperbolic component, internal and external bounds and also some curves of the second period.


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How to Cite
Martisek, D. 2021. Significant Curves of the Mandelbrot Set. MENDEL. 27, 2 (Dec. 2021), 30-35. DOI:
Research articles