[Chrissi]

The golden ratio = phi.

Fibonacci sequence = a special series of numbers whose ratio of (n+1)/n approaches the golden ratio the higher they get.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... fibonacci sequence.

So i.e. 89/55 is pretty damn close to phi while 13/8 is not as much.

I don't know if they ever actually reach the golden ratio, but I'm guessing no. It sounds like an "approaches but never reaches" thing.