Next Article in Journal
Convenient Asymmetric Synthesis of Fmoc-(S)-6,6,6-Trifluoro-Norleucine
Previous Article in Journal
A Method to Determine Core Design Problems and a Corresponding Solution Strategy
Open AccessArticle

The Symmetry in the Noise-Perturbed Mandelbrot Set

Research Center of Dynamics System and Control Science, Shandong Normal University, Jinan 250014, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(4), 577; https://doi.org/10.3390/sym11040577
Received: 22 March 2019 / Revised: 12 April 2019 / Accepted: 17 April 2019 / Published: 21 April 2019
This paper investigates the destruction of the symmetrical structure of the noise-perturbed Mandelbrot set (M-set). By applying the “symmetry criterion” method, we quantitatively compare the damages to the symmetry of the noise-perturbed Mandelbrot set resulting from additive and multiplicative noises. Because of the uneven distribution between the core positions and the edge positions of the noise-perturbed Mandelbrot set, the comparison results reveal a paradox between the visual sense and quantified result. Thus, we propose a new “visual symmetry criterion” method that is more suitable for the measurement of visual asymmetry. View Full-Text
Keywords: symmetry destruction; Mandelbrot set; noise; fractals; social network symmetry destruction; Mandelbrot set; noise; fractals; social network
Show Figures

Figure 1

MDPI and ACS Style

Sun, T.; Wang, D. The Symmetry in the Noise-Perturbed Mandelbrot Set. Symmetry 2019, 11, 577.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop