Most people think that the origin of the golden ratio comes from Pythagoras. It is said that in ancient Greece, Pythagoras was walking in the street one day. Before he passed the blacksmith's shop, he heard the sound of striking the iron, so he stopped to listen. He found that blacksmiths have a regular rhythm in striking iron, and the proportion of this sound was expressed mathematically by Pythagoras, which has been applied in many fields.
Later, many people specially studied it. Kepler called it "sacred division", and some people called it "golden section". Pythagoras' law appeared only 1000 years after the completion of the pyramid, which shows that it existed very early.
The relationship between golden ratio and sequence;
First, let's talk about a series. The first two numbers are 1 and 1, and each number after it is the sum of the first two numbers. For example: 1, 1, 2, 3, 5, 8, 13, 2 1, 34, 55, 89, 144 ... This series is called Fibonacci series, and these numbers are called Fibonacci series.
It is found that the ratio of two adjacent Fibonacci numbers gradually tends to the golden section ratio with the increase of the series. That is f (n)/f (n+ 1) → 0. 18. Because Fibonacci numbers are all integers, and the quotient of the division of two integers is rational, it is just approaching the irrational number of the golden ratio. But when we continue to calculate the larger Fibonacci number, we will find that the ratio of two adjacent numbers is really very close to the golden ratio.