I read some posts about the Mandelbrot. I read that the Mandelbrot should be defined by $f(z)=z^2+C$. In my understanding, I think, the $C$ should be a constant, like $0.27$ or $2.1+4.5i$. However, in some programming language source code, I found it.
current=Point(x,y) temp=current Loop: temp <- temp * temp + current iteration <- iteration + 1 goto Loop
I only paste the core calculation part. As you can see from here, the
temp is the $z$, and
current is $C$. However, the
current is changing when it select different point, which means the $C$ is changing. I don't quite understand about it. From the equation, I thought the $C$ should be constant, why it's changing from point to another one. Could someone help me about it?