Golden section formula and principle

The golden section formula and principle are introduced as follows:

The golden section formula is (√5- 1)/2. 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, and the approximate value 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. Usually expressed by φ. This is a very interesting number, which is expressed by 0.6 18.

Characteristics of golden ratio

The most basic formula of the golden ratio is to divide 1 into 0.6 18 and 0.382. These two formulas have the following characteristics (1). Any number in the sequence consists of the sum of the first two numbers. (2) The ratio of the former number to the latter number approaches a fixed constant, that is, 0.6 18. (3) The ratio of the last number to the previous number approaches 1.6 18. (4) 1.6 18 and 0.6 18 are reciprocal, and their product is approximately equal to 1. (5) Compared with the last two digits, the value of any number approaches 2.618; If compared with the first two figures, its value tends to 0.382.

Application of golden ratio in life

1. When applied to photography, the photographic works shot in golden ratio are more in line with the physiological structure of human eyes, and it is easier for people to find its beauty.

2. Applied to human sculpture, the famous ancient Greek statues Venus and Apollo were designed with their legs straight, so that the ratio of their legs to their height was 0.6 18.

3. Applied to painting, the golden section is used in Leonardo da Vinci's works "The Vitruvian Man", "Mona Lisa" and "The Last Supper".

4. When applied to books, golden ratio books, newspapers and magazines make people more comfortable to read.

5. Used in monitors, 16:9 monitors are becoming more and more popular, which is also related to the golden ratio of reading. Business cards printed by people are also the golden ratio.