• Title/Summary/Keyword: cubic Mandelbrot set, period-2 bulb

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

  • Geum, Young-Hee;Kim, Young-Ik;Lee, Kang-Sup
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.109-118
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    • 2007
  • 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.