This kind of value is not only reflected in painting, sculpture, music, architecture and other artistic fields, but also plays an important role in management and engineering design. Anywhere in our lives.
The golden section is related to the "golden section line", and the definition of the "golden section line" is also given: the straight line L divides a graph with an area of S into two parts with an area of S 1 and S2 respectively. If S 1:S=S2:S 1, then the straight line l is called the golden section of the graph.
The golden section is a mathematical proportional relationship. 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. In the elegant art hall, there are naturally golden footprints. It is also found that the themes of some famous paintings, sculptures and photographs are mostly at 0.6 18 of the picture. The artist believes that placing the bridge of a stringed instrument at 0.6 18 of the strings can make the sound softer and sweeter.
The aspect ratio of a golden rectangle is the golden ratio. In other words, the long side of a rectangle is 1.6 18 times of the short side. The golden ratio and the golden rectangle can bring aesthetic feeling to the picture, which is pleasant. It can be found in many artistic and natural works. The Parthenon in Athens, Greece is a good example. Leonardo da Vinci's Vitruvian Man fits the golden rectangle. Mona Lisa's face in Mona Lisa also conforms to the golden rectangle, and The Last Supper also applies this proportional layout.
Painters found that the ratio of leg length to height is 0.6 18: 1, and people have the most beautiful figure. However, the average length of women below the waist now only accounts for 0.58 of their height. Therefore, the statue of Venus in ancient Greece and the image of Apollo, the sun god, deliberately lengthened their legs so that the ratio of leg length to height reached 0.6 18, thus creating artistic beauty. No wonder many girls are willing to wear high heels, while ballerinas stand on tiptoe from time to time when dancing. Musicians found that when the proportion of "Qianjin" strings in erhu performance is 0.618:1,the timbre played is the most harmonious and pleasant.
"Mona Lisa" uses numbers to express the beauty of the human body and compares it according to certain benchmarks. The method of judging the proportional relationship between a certain part of the same human body and the body is called the same body method. Divided into three groups: coefficient method, constant finger height and length index, such as drawing the proportion of human body with the head as the standard, standing is 7 heads long, sitting is 5, squatting is 3; Percentage method, the body length is regarded as 100%, and the proportion of all parts of the body in it; Dichotomy: that is, the human body is divided into two parts, most of which are from the foot to the navel, and a small part is from the navel to the top of the head. Standard face, its length-width ratio is coordinated, which accords with three courts and five eyes. Three points refers to the length of the face, and the distance from the hairline to the chin is divided into three equal parts, that is, from the hairline to the eyebrows, from the eyebrows to the tip of the nose, and from the tip of the nose to the chin, each equal part is called one point and three points; Five eyes refers to the width of the face, the length of frontal projection between the two ears is the length of five-eye fissure, except for eye fissure, the distance between the inner canthus and the outer canthus is the length of one-eye fissure, and there are two eye fissures from the outer canthus to the ear.