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Construction of 3D Mandelbrot Set and Julia Set

by Ashish Negi, Ankit Garg, Akshat Agrawal
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 85 - Number 15
Year of Publication: 2014
Authors: Ashish Negi, Ankit Garg, Akshat Agrawal
10.5120/14920-3514

Ashish Negi, Ankit Garg, Akshat Agrawal . Construction of 3D Mandelbrot Set and Julia Set. International Journal of Computer Applications. 85, 15 ( January 2014), 32-36. DOI=10.5120/14920-3514

@article{ 10.5120/14920-3514,
author = { Ashish Negi, Ankit Garg, Akshat Agrawal },
title = { Construction of 3D Mandelbrot Set and Julia Set },
journal = { International Journal of Computer Applications },
issue_date = { January 2014 },
volume = { 85 },
number = { 15 },
month = { January },
year = { 2014 },
issn = { 0975-8887 },
pages = { 32-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume85/number15/14920-3514/ },
doi = { 10.5120/14920-3514 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:02:34.566835+05:30
%A Ashish Negi
%A Ankit Garg
%A Akshat Agrawal
%T Construction of 3D Mandelbrot Set and Julia Set
%J International Journal of Computer Applications
%@ 0975-8887
%V 85
%N 15
%P 32-36
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Today Fractal geometry is completely new area of research in the field of computer science and engineering. It has wide range of applications. Fractals in nature are so complicated and irregular that it is hopeless to model them by simply using classical geometry objects. Benoit Mandelbrot, the father of fractal geometry, from his book The Fractal Geometry of Nature, 1982. This paper present construction of famous fractal images- Mandelbrot set and Julia set using 3D iterated function system which gives real look and feel of complex natural fractal images.

References
  1. B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman and Company, 1982).
  2. Chauhan Y. S. Rana R,and Negi A,, "Mandel-Bar Sets of Inverse Complex Function", International Journal of Computer Applications (0975-8887) Volume 9- No. 2, November 2010
  3. Devaney RL. A first course in chaotic dynamical systems: theory and experiment. CO: Westview Press; 1992.
  5. Yashwant s chauhan, Rajeshri rana, Ashish negi, "Mandel-Bar sets of Inverse Complex Function", International Journal of computer applications(0975-8887), Vol 9-No. 2, Nov-2010.
  6. Yashwant s chauhan, Rajeshri rana, Ashish negi, "New Julia sets of Ishikawa Iterates", International Journal of computer applications(0975-8887), Vol 7-No. 13, oct-2010.
  7. M. Rani and V. Kumar, "Superior Mandelbrot set". J korea Soc, Math, edu, series, Dresearch in maths, Edu, no. 4,8(2004), 279-291.
  8. Barnsley, M. , 1988, "Fractals Everywhere (San Diego: Academic Press, Inc).
  9. George Cantor "On the Power of Perfect Sets of Points in Classics on Fractals" (Westview Press, 2004) pp. 1123.
  10. [ONLINE AVAILABLE]: Bulusu Rama#, Jibitesh Mishra, Generation of 3D Fractal Images for Mandelbrot and Julia Sets
  11. M. F. Barnsley and R. Hawley, Fractals Everywhere (Boston: Academic Press Professional, 1993).
  12. http://math. bu. edu/DYSYS/explorer/tour1. html
  13. http://library. thinkquest. org/26242/full/
Index Terms

Computer Science
Information Sciences

Keywords

Fractals IFS 3D images 3D rendering Mandelbrot set and Julia set affine transformation

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