According Wikipedia, Mendelbrot Set,
The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and as an example of a complex structure arising from the application of simple rules. It is one of the best-known examples of mathematical visualization and mathematical beauty.
In this entry a menadelbrot set will be implemented and plotted using Canvas and JavaScript.
This app was built for the purpose of sharing my knowledge on it, this is explained in my personal Blog.
You can check out this post here.
Live demo here