I've been curious about the Fibonacci sequence for quite a while now, so I decided to study it on my own. I noticed that you can get the sequence by adding the numbers on the pascal triangle diagonally, or by simply adding the number that precedes the next (0,1,1,2,3,5,8...). I then watched a video that gives a quick lecture on it, and it mentioned the golden spiral, the golden ratio and the golden rectangle. What I'm pretty curious about is that why are these called "golden?" Does the sequence really have so many applications?