The golden section ratio should be an expression with a root sign

The golden section ratio should be an expression with a root sign

(3-radical 5) / 2

Reading material: 0.618, a very charming and mysterious number, and it also has a very beautiful name - the golden section law. It was discovered by Pythagoras, a famous ancient Greek philosopher and mathematician, more than 2500 years ago. In some wars in history, the law of 0.618 was followed. The war of Abella between Macedonian and Persian was used by Europeans In this battle, Alexander the great of Macedon selected the attack point of his army at the left wing and central junction of the Persian Darius king's army. Coincidentally, this part is also the "golden point" of the whole front. Therefore, although the Persian army is dozens of times more than Alexander's army, Alexander the great relied on the Persian army If you are a commander of the air corps, facing the 120km ground front, how do you order an air raid on the ground front___ ．

120 × 5-12 ≈ 74.16120 × 3-52 ≈ 45.84. So choose 74.16km to the left or 74.16km to the right of the front, or 45.84km to the left or 45.84km to the right of the front

Examples are given to illustrate the application of golden section and fibulacci sequence in real life

1) In most plants, the number of petals is exactly the Fibonacci number
2) Number of branches
3) Helix number of sunflower seed arrangement in sunflower disk
It's really boring to take this test --

Properties of Fibonacci sequence
I found a Fibonacci property: the 2n + 1 term is equal to the square of the N term plus the square of the N + 1 term
For example, the third term is 2, which is equal to the sum of squares of the first term 1 and the second term 1, and the seventh term is 13, which is equal to the sum of squares of the third term 2 and the fourth term 3. This property can be proved by the general term formula (I have already proved it)
I don't know if anyone has found this property before? (I didn't see this one in Baidu Encyclopedia)

It's good to find this phenomenon, which means you have the spirit of exploration
But the most important thing in mathematics is the method and its use value. If it is pure theory, it is OK, but its role in practical application may not be known. Therefore, even if predecessors have done it, it may not be publicized because it is of little use