General Mandelbrot sets and Julia sets with color symmetry from equivariant mappings of the modular group

K. W. Chung; H. S Y Chan; N. Chen

doi:10.1016/S0097-8493(00)00093-5

Author(s)

K. W. Chung
H. S Y Chan
N. Chen

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	911-918
Journal / Publication	Computers and Graphics (Pergamon)
Volume	24
Issue number	6
Publication status	Published - Dec 2000

Link(s)

DOI	DOI https://doi.org/10.1016/S0097-8493(00)00093-5 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0034515121&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(fb1e2ead-b093-4b06-9cd9-e9a0ba53d5ec).html

Abstract

A method for constructing the general M (Mandelbrot) set of a non-analytic mapping is presented. The equivariant mapping with symmetry of the modular group is considered as an illustration. By investigating the distribution of attractors in the upper half-plane and the assignment of colors to each attractor, an algorithm is presented for the construction of filled-in Julia sets with 2- or 3-color symmetry. Such Julia sets not only reveal the characteristics of a system, but also have high artistic appeal.

Citation Format(s)

[ RIS ] [ BibTeX ]

General Mandelbrot sets and Julia sets with color symmetry from equivariant mappings of the modular group. / Chung, K. W.; Chan, H. S Y; Chen, N.

In: Computers and Graphics (Pergamon), Vol. 24, No. 6, 12.2000, p. 911-918.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Chung, KW, Chan, HSY & Chen, N 2000, 'General Mandelbrot sets and Julia sets with color symmetry from equivariant mappings of the modular group', Computers and Graphics (Pergamon), vol. 24, no. 6, pp. 911-918. https://doi.org/10.1016/S0097-8493(00)00093-5

Chung, K. W., Chan, H. S. Y., & Chen, N. (2000). General Mandelbrot sets and Julia sets with color symmetry from equivariant mappings of the modular group. Computers and Graphics (Pergamon), 24(6), 911-918. https://doi.org/10.1016/S0097-8493(00)00093-5

Chung KW, Chan HSY, Chen N. General Mandelbrot sets and Julia sets with color symmetry from equivariant mappings of the modular group. Computers and Graphics (Pergamon). 2000 Dec;24(6):911-918. doi: 10.1016/S0097-8493(00)00093-5

Chung, K. W. ; Chan, H. S Y ; Chen, N. / General Mandelbrot sets and Julia sets with color symmetry from equivariant mappings of the modular group. In: Computers and Graphics (Pergamon). 2000 ; Vol. 24, No. 6. pp. 911-918.