# Open Source Android Apps for Developers: Mandelbrot (Mandelbrot fractal viewer for Android)

Cute Android: Open Source Android Apps for Developers: Mandelbrot (Mandelbrot fractal viewer for Android)

Description
Mandelbrot (Mandelbrot Map) is an open source Android application which is a simple Mandelbrot fractal viewer for Android that acts as an “infinite map”. Simply use it like Google Maps, with panning and zooming. It also offers options to save images and set as wallpaper.

Project Home

Project owners
ralfoide

Version

To install the latest one, search for “Mandelbrot Map 2″ on Market or scan this QR Code using the Barcode Scanner.

QR code Source Code
# Non-members may check out a read-only working copy anonymously over HTTP.

Mandelbrot Set
The Mandelbrot set is a mathematical set of points in the complex plane, the boundary of which forms a fractal. The Mandelbrot set is the set of complex values of c for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded. That is, a complex number, c, is in the Mandelbrot set if, when starting with z0 = 0 and applying the iteration repeatedly, the absolute value of zn never exceeds a certain number (that number depends on c) however large n gets. The Mandelbrot set is named after Benoît Mandelbrot, who studied and popularized it.

For example, letting c = 1 gives the sequence 0, 1, 2, 5, 26,…, which tends to infinity. As this sequence is unbounded, 1 is not an element of the Mandelbrot set.

On the other hand, c = i (where i is defined as i2 = −1) gives the sequence 0, i, (−1 + i), −i, (−1 + i), −i, …, which is bounded and so i belongs to the Mandelbrot set.

When computed and graphed on the complex plane the Mandelbrot set is seen to have an elaborate boundary which, being a fractal, does not simplify at any given magnification.

The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and for being a complicated structure arising from a simple definition, and is one of the best-known examples of mathematical visualization. Many mathematicians, including Mandelbrot, communicated this area of mathematics to the public.

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