Abstract

Music from the Chaos

Daniel Schlich, Mario Simons, Axel Wilberg

Chaotic functions play an increasingly important role in science and research. Chaotic processes are also important in our everyday life, but they usually go unnoticed. Most people do not think about mathematics and chaos when it comes to the weather forecast. Therefore, it is not surprising that fractals keep featuring in journals, merging science and art. The most famous example is the Mandelbrot set that contains an almost infinite number of fractal secrets. It is named after Benoit B. Mandelbrot, a scientist at the IBM Thomas J. Watson Research Centre in Yorktown Heights.

Why are scientists attracted to fractals? On the one hand it is the simplicity of the functions that are capable of generating complex structures that we perceive as beautiful, on the other hand the discovery of chaotic functions has made an important contribution to our understanding of natural processes. Clouds are not spheres, mountains are not cones, lightning is not a line. The Euclidean geometry seems to be inadequate for describing nature. It is being replaced by fractal geometry, which can provide a more accurate description of nature.

We study the ability of chaotic mathematics to describe dynamic processes such as music, rather than static visualizations of fractals. Starting from fractal geometry, we create "music from the chaos"

Music from the chaos - the logo
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