z→z²+c
z→z²+c is GOSUB10's third release, by a sad coincidence arriving soon after the passing of Benoît Mandelbrot - the man whose mathematics were the inspiration for all this. I recommend watching his TED talk.
The Mandelbrot set is possibly the world's most famous fractal. z→z²+c is a series of sonifications, focussing on the periodic attractors found almost everywhere within the Mandelbrot set. Given just two real numbers (forming one point in the complex plane), dynamic patterns can emerge as the one simple equation governing the system is repeated over and over: z→z²+c
The source code for this release (implemented in Pure-data using GridFlow and zexy) is free software distributable under the terms of the GNU General Public License (version 3 or greater).
Copyleft: This is a free work, you can copy, distribute, and modify it under the terms of the Free Art License.
Released on 17th October 2010.