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A new approach to superfractals

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  • Singh, S.L.
  • Jain, Sarika
  • Mishra, S.N.

Abstract

V-variable fractals and superfractals have recently been introduced by Barnsley [Barnsley Michael, Hutchinson John, Stenflo Örjan. A fractal valued random iteration algorithm and fractal hierarchy. Fractals 2005;13(2):111–46 [MR2151094 (2006b:28014)]] to the world of mathematics and computer graphics. In this paper, we introduce superior iterates to study the role of contractive and non-contractive operators in relation to superfractals. A modified algorithm along with details of computer implementation is also provided to compute V-variable fractals. A brief discussion about the various aspects of the computed figures indicates usefulness of the study.

Suggested Citation

  • Singh, S.L. & Jain, Sarika & Mishra, S.N., 2009. "A new approach to superfractals," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3110-3120.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:3110-3120
    DOI: 10.1016/j.chaos.2009.04.052
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "Einstein’s dream and fractal geometry," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 1-5.
    2. Negi, Ashish & Rani, Mamta, 2008. "Midgets of superior Mandelbrot set," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 237-245.
    3. Negi, Ashish & Rani, Mamta, 2008. "A new approach to dynamic noise on superior Mandelbrot set," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1089-1096.
    4. Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
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    1. Lateef Olakunle Jolaoso & Safeer Hussain Khan, 2020. "Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process," Mathematics, MDPI, vol. 8(12), pages 1-18, December.

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