Friday, January 15, 2010

The Power of Numbers


Fractal generated landscape

Last class we mentioned the example of Benoit Mandelbrot, the father of Fractal Geometry. His work is so important and has influenced so many fields, from mathematics to medicine to entertainment and economics that I am not even attempting to go into more details.

I leave it up to you to find out by utilizing available resources in the net or in the literature, like Mandelbrot's own book The Fractal Geometry of Nature, which made possible to non-specialists to understand or simply enjoy how the visualization of a simple recursive formula can reveal the underlying structure of the world around us, I would even say of the Universe itself.

After people in the film industry for example, were able to "see" with their own eyes the generative power of this recursive formulas, computer graphics programs were developed to take advantage of this procedure to generate highly realistic natural phenomena, from landscapes to water, explosions, fire and such. Things would never be the same.



On a similar note (pun intended), Stephen Wolfram, has contributed to the visualization field, as well as many others too numerous:-) to mention here. Among other things he is the creator of Mathematica, a computational software used primarily for scientific and engineering visualizations. Thanks to that program many applications have been developed that relate to the arts as well. The case in point is Wolfram Tones, which allows you to generate music, soundtracks etc. where you can modify parameters (such as type of sound, rhythm etc) to suit your taste or your application, try it out. You could call it Audiolizations!

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