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On Generating Skyscapes through Escape-Time Fractals

by T. Gangopadhyay
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 43 - Number 17
Year of Publication: 2012
Authors: T. Gangopadhyay
10.5120/6195-8716

T. Gangopadhyay . On Generating Skyscapes through Escape-Time Fractals. International Journal of Computer Applications. 43, 17 ( April 2012), 17-19. DOI=10.5120/6195-8716

@article{ 10.5120/6195-8716,
author = { T. Gangopadhyay },
title = { On Generating Skyscapes through Escape-Time Fractals },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 43 },
number = { 17 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 17-19 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume43/number17/6195-8716/ },
doi = { 10.5120/6195-8716 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:33:40.379852+05:30
%A T. Gangopadhyay
%T On Generating Skyscapes through Escape-Time Fractals
%J International Journal of Computer Applications
%@ 0975-8887
%V 43
%N 17
%P 17-19
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Scott Draves has used seven variations of affine transformations in his pioneering work on fractal flames. These are linear, sinusoidal, spherical, swirl, horseshoe, polar and bent. In this paper we use average of two such transformations on escape time fractals to produce skyscapes similar to expansion of galaxies.

References
  1. Barnsley, M. 1983 Fractals Everywhere, Academic Press.
  2. Brill, R. 1995 Embellished Lissajous Figures, The Pattern Book(ed. Pickover, C. ).
  3. Davis, C. and Knuth, D. E. 1970 Number representations and dragon curves,Journal of Recreational Mathematics 3(1970) 66-81 and 133-149. .
  4. Draves, S. 1992 The Fractal Flame Algorithm, flame3. com/flame-draves. pdf.
  5. Hofstadter, D. R. 1982 Strange attractors: Mathematical patterns delicately poised between order and chaos, Scientific American 245(May 1982)16-29.
  6. Peitzen, H. 1987 Beauty of Fractals, Springer.
  7. Pickover C. quoted in Fractint formula documentation,www. nahee. com/spanky/www/fractint/popcorn_type. html.
  8. Ruell,D. 1980 Strange attractors, Math Intelligencer 2(1980)126-137.
  9. Stevens, R. 1989 Fractal Programming in C, M&T Books.
Index Terms

Computer Science
Information Sciences

Keywords

Escape-time Mandelbrot Ifs Bailout Affine Sinusoidal

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