This semester I have taken up a course on Fractals, and I have to admit, this is by far the most interesting course I've studied here at IIT. A quick intro: The word fractal comes from latin, and it means broken or irregular. Fractals are self similar and are scale invariant. Some of the most popular fractals have to be: 'The Mandelbrot set', 'Julia set', 'The Sierpinski gasket' and the 'Cantor set'

The assignment that was given to us, was to create a new and original fractal. At first this might sound very complicated, but consider this: most of the popular and magnificent fractals were generated with very simple rules and generating formulas. The Mandelbrot's set is generated using just Z2+C.

But still, while creating something original might not be that hard, but creating something which is original and is also beautiful at the same time, well that's a different story. So, I sat down, playing and experimenting with various generators. Most of the time, the resulting object was either boring or monochromatic or both boring and monochromatic, and other times it was something which had already been discovered by the likes of Newton a couple of centuries ago.

Finally what I ended up with, looked something like this:

Neat? I think this is absolutely beautiful. I can't think of anyway to find out if someone already has discovered this (though I know it is highly likely), so I dedicded to give it a name: PIP. I generated this in the madelbrot mode, with 1500 iterations with XaoS.

The generator is: log(Z) + 1/Z + C