Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 3 Mandelbrot and Julia Set

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International Journal of Computer Applications © 2012 by IJCA Journal Volume 55 - Number 14

Year of Publication: 2012

Authors: K. P. Soman

Manu Unni V. G

Praveen Krishnan

V. Sowmya

10.5120/8822-2743 {bibtex}pxc3882743.bib{/bibtex} 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.

Refer ences

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- 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.

Index Terms Computer Science Algorithms

Keywords Computational Thinking Mandelbrot Set Julia Set Fractal geometry

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