The Edge Effect - Mandelbrot/The Police
This is a really important and not just so psychedelic clip - and it has to do with something you should know about. Take a complex function z n +1 = z n 2 + c - where you get the zeroth term starting point at zero. So iterating through - if you start with zero, zero squared gives you the next term z 1 = c, and then the second term comes from the previous, third the second, and so on. At the zero, you've got the constant making it go to out to space otherwize, if c=0, then you would just have zero. Fun things happen when you have numbers on the edge of a boundary. Fun places on a planet or at the edge of a star or other places in the universe where guns, germs and steel can give us iron and wine and such great heights. There are three cases, runaway, center and edge. Say the center. Pretend you're on the edge of a black hole. Go in to close towards the zero, and things collapse in - 1/2, 1/4, 1/16, etc. limit down to zero. Ok, so go away from the edge. What do yo...