The golden ratio is an irrational number, defined as (1+√5)/2.

It is used in a wide range of fields: mathematics, physics, architecture, art and even music.

The unique nature of the golden ratio was first applied to dividing straight lines. If the total length of a straight line is the denominator of the golden ratio plus the unit length of the molecule, if we divide it into two halves, the long half is the unit length of the molecule and the short half is the unit length of the mother and child, then the ratio of the long line length to the short line length is the golden ratio.

golden section

The golden section is also called "Huang Jinlv", "Chinese-foreign ratio" and "Chinese-American ratio". Is to divide a known line segment into two parts, so that one part is the middle of the proportion of the other part and the whole. This division is called "golden section". From ancient Greece to19th century, people all thought that this division method had aesthetic value in artistic modeling, so it was called "golden section".

The Pythagorean school in ancient Greece studied this. In the Middle Ages, Italian mathematician Baciorri also discussed the comparison between China and foreign countries in his book "Sacred Proportion" published in 1509, which was called "Sacred Division" by German Kepler, which cast a mysterious color on division.

The mathematician Fabrance wrote a book about some strange combinations of numbers in the13rd century. The combination of these strange numbers is 1, 1, 2, 3, 5, 8, 13, 2 1, 34, 55, 89, 144, 233┅┅. Some people say that he got these figures by studying the pyramids. The pyramids are closely related to these strange numbers. The geometry of the pyramid has five faces and eight sides, and the total number is thirteen layers. From any side, you can see three levels. The length of the pyramid is 5,865,438+03 inches (5-8-65,438+03), and the percentage of high bottom and bottom is 0.665,438+08, which is the ratio of any two consecutive mysterious numbers mentioned above, for example, 55/89 = 0.665,438+08,800.

In addition, the length of any side of a pentagonal pyramid is equal to 0.6438+08 of the diagonal of the pentagonal pyramid. Also, the total number of the four sides at the bottom is 36,524.22 inches, which is equal to 100 times light-year!