The 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 full length is equal to the ratio of the other part to this part. The ratio is an irrational number, and the approximate value of the first three digits is 0.618. Because the shape designed according to this ratio is very beautiful, it is called the golden section, also known as the ratio between Chinese and foreign parts. Usually represented by Φ. This is a very interesting number, approximated by 0.618.

Characteristics of the golden ratio

The most basic formula of the golden ratio is to divide 1 into 0.618 and 0.382. They have the following characteristics (1) Any number in the sequence is It is composed of the sum of the first two numbers. (2) The ratio of the previous number to the next number approaches a fixed constant, that is, 0.618. (3) The ratio of the latter number to the previous number is close to 1.618. (4) 1.618 and 0.618 are reciprocals of each other, and their product is approximately equal to 1. (5) If any number is compared with the last two numbers, its value approaches 2.618; if compared with the first two numbers, its value approaches 0.382.

The application of the golden ratio in life

1. When used in photography, photography taken using the golden ratio is more in line with the physiological structure of the human eye, making it easier for people to discover it. beautiful.

2. When used in human sculptures, the famous statues of Venus de Milo and Apollo, the sun god in ancient Greece, were designed with their legs extended, so that the ratio to their height was 0.618.

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

4. Applied to books, golden ratio books, newspapers and magazines make reading more comfortable.

5. Applied to monitors, 16:9 monitors are becoming more and more popular now, which is also related to the golden ratio of reading. The business cards people print are also in the golden ratio.