Open AccessSignificant Curves of the Mandelbrot Set
Author(s) -
Dalibor Martišek
Publication year - 2021
Publication title -
mendel ... (brno. on-line)/mendel ...
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 13
eISSN - 1803-3822
pISSN - 1803-3814
DOI - 10.13164/mendel.2021.2.030
Subject(s) - mandelbrot set , mathematics , boundary (topology) , period (music) , set (abstract data type) , geometry , mathematical analysis , computer science , fractal , physics , acoustics , programming language
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.