Mandlebrot set

The set of complex numbers first discussed by French mathematicians Pierre and Julia.

It's the set of complex numbers where the repeated iteration for the function f(n)=Zn*Zn+C  doesn't diverge.

Here, C is the complex number, say 1= (1+0*i), and we iterate by considering Zn=0, and then for n=2 we input the previous value. If this doesn't diverge, then it belongs to the Mandlebrot set.

The interesting thing about this is when you plot this numbers in real and imaginary axis. If the map is colored by the number of iterations performed to test for the divergence, it gives a very peculiar pattern.

We have come far in the field of computations, it is unbelievable what we can do now using just a laptop. Look at that pattern, look closely, it's fractals!!.

Complex number by themselves are a very enigmatic in nature, I have much more to learn about them.
Anyways, that's all for now.

Cheers