바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

Article Contents

Prev Next
e-Submission

Vol.14 No.3

Citation Share

A Fast Construction of Generalized Mandelbrot Sets Using Main Componentswith Epicycloidal Boundaries

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2007, v.14 no.3, pp.191-196
Geum, Young-Hee
Lee, Kang-Sup
Kim, Young-Ik
Geum,, Y. , Lee,, K. , & Kim,, Y. (2007). A Fast Construction of Generalized Mandelbrot Sets Using Main Componentswith Epicycloidal Boundaries. , 14(3), 191-196.

Abstract

The main components in the generalized Mandelbrot sets are under a theoretical investigation for their parametric boundary equations. Using the boundary geometries, a fast construction algorithm is introduced for the generalized Mandelbrot set. This fast algorithm definitely reduces the construction CPU time in comparison with the naive algorithm. Its graphic implementation displays the mysterious and beautiful fractal sets.

keywords
Mandelbrot set, fractal set, epicycloid, degree-n bifurcation set

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

e-Submission OA Policy