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A new approach to superfractals
Authors:S.L. Singh   Sarika Jain  S.N. Mishra
Affiliation:aVedic MRI, #21, Govind Nagar, Rishikesh 249201, India;bDepartment of Computer Science & Engineering, Amity School of Engineering & Technology, Amity University, Noida, UP, India;cDepartment of Mathematics & Applied Mathematics, Walter Sisulu University, Nelson Mandela Drive, Mthatha 5117, South Africa
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.
Keywords:
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