Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

AN EFFICIENT CONSTRUCTION OF PERIOD-2 BULBS IN THE CUBIC MANDELBROT SET WITH PARAMETRIC BOUNDARIES

  • Geum, Young-Hee (Department of General mathematics, Dankook University) ;
  • Kim, Young-Ik (Department of Applied mathematics, Dankook University) ;
  • Lee, Kang-Sup (Department of Mathematics Education, Dankook University)
  • Published : 2007.09.30

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Abstract

A parametric boundary equation is established for the principal period-2 bulb in the cubic Mandelbrot set. Using its geometry, an efficient escape-time algorithm which reduces the construction time for the period-2 bulbs in the cubic Mandelbrot set is introduced and the implementation graphic results display the fascinating fractal beauty.

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