한국수학교육학회지시리즈D:수학교육연구 (Research in Mathematical Education)

  • 제8권4호
  • /
  • Pages.279-291
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  • 2004
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  • 1226-6191(pISSN)
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  • 2287-9943(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

Superior Mandelbrot Set

  • Rani, Mamta (Department of Computer Science, Gurukula Kangri University) ;
  • Kumar, Vinod (Department of Computer Science, Gurukula Kangri University)
  • 발행 : 2004.12.01
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초록

Mandelbrot sets and its generalizations have been extensively studied by using the Picard iterations. The purpose of this paper is to study superior Mandelbrot sets, a new class of Mandelbrot sets by introducing the Mann iterative procedure for polynomials Q$_{c}$(z) := z$^n$ + c. We generate some superior Mandelbrot sets for different values of n ($\geq$2) and these new figures are exciting and fascinating.g.

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