The golden section refers to dividing a line segment into two parts so that the ratio of one part to the total length is equal to the ratio of the other part to this part. Its ratio is an irrational number, expressed as a fraction (√5- 1)/2, and the approximation of the first three digits is 0.6 18. Because the shape designed according to this ratio is very beautiful, it is called golden section, also called Chinese-foreign ratio.

This dividing point is called the golden ratio, which is usually expressed by φ. This is a very interesting number, which is expressed by 0.6 18. Through simple calculation, we can find: (1-0.618)/0.618 ≈ 0.618, that is, there are two golden sections on a line segment.

Calculation formula:

Expand the aesthetic value of golden section data;

Because it has aesthetic value in plastic arts, it can arouse people's aesthetic feeling in the design of length and width of arts and crafts and daily necessities, and it is also widely used in real life. The proportion of some line segments in the building adopts the golden section scientifically. The announcer on the stage is not standing in the center of the stage, but standing on the side of the stage. The position at the golden section of the stage length is the most beautiful and the sound transmission is the best.

Even in the plant kingdom, the golden section is used. If you look down from the top of a twig, you will see that the leaves are arranged according to the golden section law. In many scientific experiments, a method of 0.6 18 is often used to select the scheme, that is, the optimization method, which enables us to arrange fewer experiments reasonably and find reasonable western and suitable technological conditions.

It is precisely because of its extensive and important application in architecture, literature and art, industrial and agricultural production and scientific experiments that people call it the golden section. The golden section is strict in proportion, harmonious in art and rich in aesthetic value. Generally, it is 0.6 18 in application, just as pi is 3. 14 in application.

And people think that if it meets this ratio, it will look more beautiful, more beautiful and more harmonious. In life, "golden section" has many applications. Such as: the most perfect human body: the distance from navel to sole/the distance from top of head to sole = 0.618; The most beautiful face: the distance from eyebrow to neck/the distance from the top of head to neck =0.6 18.

References:

Baidu encyclopedia-golden section point