1. What is the golden ratio:
The golden ratio is a mathematical concept, also known as the golden section, golden ratio or golden ratio. It comes from the study of the golden rectangle by ancient mathematicians and is considered to be a perfect proportional relationship with aesthetics and geometry.
2. The value of the golden ratio:
The value of the golden ratio is about 1.6 1803398875, which is usually expressed by the Greek letter φ(phi). This value is an infinite acyclic decimal, which has special mathematical and geometric properties and is widely used in art, architecture, design and natural science.
3. Calculation method of golden ratio:
The calculation method of the golden ratio can be realized by the following formula: a/b=(a+b)/a=φ, where A is the whole, B is the smaller part of A, and φ represents the golden ratio. This formula can be transformed into the solution of the quadratic equation X 2-X- 1 = 0, that is, X = (1+√ 5)/2 ≈1.618.
4. The application of the golden ratio:
The golden ratio is widely used in various fields. In art and design, the golden ratio is used for composition and proportion arrangement, which is considered to produce visual harmony and beauty. In architecture, the golden ratio is used to determine the proportional relationship between various parts of the building in order to achieve visual balance and sense of proportion.
5. Natural examples of the golden ratio:
There are also many examples of the golden ratio in nature. For example, there is a golden ratio relationship between the helix of the famous Fermat spiral shell and the golden rectangle. Traces of the golden ratio can be found in the branches of plants, the arrangement of leaves, and even in various parts of the human body.
Abstract paragraph:
The golden ratio is a special mathematical and geometric relationship, which can be calculated by the golden ratio formula. It is widely used in art, architecture, design and natural science.
The value of the golden ratio is about 1.6 18, which is considered to have a perfect aesthetic proportional relationship. By understanding the calculation method and application of the golden ratio, people can better understand and apply this concept and create more beautiful and harmonious works and designs.