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On Transforming Popcorn Fractals with Spherical and Other Functions

by T. Gangopadhyay and
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 50 - Number 8
Year of Publication: 2012
Authors: T. Gangopadhyay and
10.5120/7792-0899

T. Gangopadhyay and . On Transforming Popcorn Fractals with Spherical and Other Functions. International Journal of Computer Applications. 50, 8 ( July 2012), 28-32. DOI=10.5120/7792-0899

@article{ 10.5120/7792-0899,
author = { T. Gangopadhyay and },
title = { On Transforming Popcorn Fractals with Spherical and Other Functions },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 50 },
number = { 8 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 28-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume50/number8/7792-0899/ },
doi = { 10.5120/7792-0899 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:47:46.965242+05:30
%A T. Gangopadhyay and
%T On Transforming Popcorn Fractals with Spherical and Other Functions
%J International Journal of Computer Applications
%@ 0975-8887
%V 50
%N 8
%P 28-32
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Popcorn fractals are instances of Integrated Fractal Systems involving trigonometric functions. In this paper, we study the effect of spherical, swirl and pseudo-horseshoe functions on popcorn fractals to produce talismanic and tantric designs.

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. Gangopadhyay, T. 2012 On generating skyscapes through escape-time fractals, International journal of Computer Applications 43(2012)17-19.
  6. Hofstadter, D. R. 1982 Strange attractors: Mathematical patterns delicately poised between order and chaos, Scientific American 245(May 1982)16-29.
  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

Popcorn IFS spherical swirl bailout

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