Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 3 Mandelbrot and Julia Set
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10.5120/8822-2743 |
K P Soman, Manu Unni V.g, Praveen Krishnan and V Sowmya. Article: Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 3 Mandelbrot and Julia Set. International Journal of Computer Applications 55(14):16-23, October 2012. Full text available. BibTeX
@article{key:article,
author = {K. P. Soman and Manu Unni V.g and Praveen Krishnan and V. Sowmya},
title = {Article: Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 3 Mandelbrot and Julia Set},
journal = {International Journal of Computer Applications},
year = {2012},
volume = {55},
number = {14},
pages = {16-23},
month = {October},
note = {Full text available}
}
Abstract
The Mandelbrot Set is the most complex object in mathematics; its admirers like to say. An eternity would not be enough time to see it all, its disks studded with prickly thorns, its spirals and filaments curling outward and around, bearing bulbous molecules that hang, infinitely variegated, like grapes on God's personal vine [1]. In this article we show how it is drawn in spread sheet. The methodology employed is same as the one used for Newton's fractal. Since it is the daddy of all fractals, a separate article is devoted to it. The same principle is extended to draw fractals based on transcendental functions.
References
- GNU Xaos: Fastinteractive fractal zoomer, http://wmi. math. u-szeged. hu/xaos/ doku. php. Accessed 6 August 2012
- Mandelbrot Images, http://warp. povusers. org/snaps/fract/. Accessed 6 August 2012.
- Fractintfreeware fractal generator, http://spanky. triumf. ca/www/fractint/fractint. html. Accessed 6 Agust 2012 .
- 3D Mandelbrot set, http://www. skytopia. com/project/fractal/2mandelbulb. html. Accessed 7 August 2012.
- Source code for many fractal programs, ttps://www. fractalus. com/downloads/source/. Accessed 4 August 2012.