Journal of applied mathematics & informatics
- 제25권1_2호
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- Pages.109-118
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
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)
- 발행 : 2007.09.30
초록
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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