Beautiful geometric shapes that are basically smaller copies of itself when magnified (with certain rules) - and its length is infinite. Which means endless magnification of an object! Awesome, I know.
The first fractal was rather simple - Koch Snowflake: equilateral triangle followed by three steps. I will not go into details, there are plenty of definitons on the net - and they are quite simple so anyone can make an experiment. Koch Snowflake has an interesting feature: Its perimeter or length is infinite and its area is measurable - not infinite.
Nowadays, things got a bit more complicated...
|A fractal. Awesome one.|
|They get even cooler.|
Huge gallery - Of quality fractals. A must see gallery!
Apophysis - Program for editing and rendering fractals. Open source.
3D Fractals - Fractals in 3D.