The characteristics of a golden rectangle are: length/width = width/(length-width).

This kind of value not only exists in painting, sculpture, music, architecture and other artistic fields, but also plays an important role in management and engineering design.

Because it has aesthetic value in plastic arts, it can arouse people's aesthetic feeling in the design of the 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, and the announcer on the stage is not standing in the center of the stage, but standing on the side of the stage.

Standing at the golden section of the stage length is the most beautiful and the sound spreads 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 to find a reasonable formula 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 "golden section".

Extended data

main feature

The golden ratio is a mathematical proportional relationship. The golden ratio is strictly proportional, artistic and harmonious, and contains rich aesthetic value. Generally, it is 0.6 18 in application, just as pi is 3. 14 in application.

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. Golden ratio and golden rectangle can bring beauty to the picture, which can be found in many works of art and nature. The Pasa Shennong Temple in Athens, Greece is a good example.

However, Leonardo da Vinci's Vitruvian Man fits the golden rectangle. Mona Lisa's face also conforms to the golden rectangle, and The Last Supper also applies this proportional layout.

Military application

When the rifle for firing bullets was first manufactured, the ratio of the length of the handle to the length of the gun body was unscientific and unreasonable, which was very inconvenient for grasping and aiming. 19 18, a corporal named alvin york of the American Expeditionary Force reformed this rifle, and the ratio of the reformed gun body to the handle was exactly 0.6 18.

In fact, from the sharp edge radian to the apex of bullets, shells and ballistic missiles flying along the track; It is not difficult to find the golden ratio everywhere, from the best dropping height and angle of the plane entering the dive bombing state to the best bomb avoidance slope when designing the tank shell.

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