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How to write a paper about the golden ratio in mathematics
You should not be familiar with the "golden section"!

Just as Pythagoras in ancient Greece studied the mapping of regular pentagons and 10 in the 6th century BC, Pythagoras, a modern mathematician, contacted and even mastered the golden section. In the 4th century BC, the ancient Greek mathematician eudoxus studied this problem systematically for the first time and established the theoretical proportion.

Around 300 BC, Euclid wrote that eudoxus absorbed the research results of "geometry" and further systematically discussed the golden section, which became the earliest project in the golden section. In the Middle Ages, the prime location had been cloaked in mystery. The Italians said that this was the sacred percentage of pacioli in those years, and they also wrote a book specially for it. German astronomer Kepler called it the golden section of divine division. In the19th century, the name of gold was gradually adopted. Fibonacci number has many interesting characteristics, and it is also widely used in practice. The most famous example is the golden section method or 0.6 18 method, which was first put forward by American mathematician Kiefer in 1953 and has been popularized in China for 70 years.

Perhaps in science and art, we have learned a lot, but haven't you heard that in the sky fire of 0.6 18 and thick smoke, Xue Rou Hengfei, a terrible and cruel battlefield, has also forged an indissoluble bond in the army, which also shows its great and mysterious power. Napoleon's generation was fierce, and probably would not have thought that their destinies would be so closely linked .3338+08. 18 12 June, this year in Moscow, after the cool and pleasant climate could not be eliminated for more than half a summer, Napoleon, the effective force of the campaign at this time, Borodino of Russia, led his troops into Moscow. This time, however, he is full of ambition and arrogance. He doesn't know that his talent and luck are disappearing from him at this time. The turning point of his life and career is a peak. Later, France will talk nonsense in Xuefenyang and leave Moscow in the dark. From the time point of view, the French emperor in Moscow only strengthened the flame of the golden section when overlooking the raging city.

The Parthenon is a perfect world-famous building in ancient Greece, and its aspect ratio is 0.6 18. Architects found that according to this ratio, the design of palaces is more magnificent and beautiful, and the design of villas will be more comfortable and beautiful. Even if the design will be more harmonious, the golden rectangular window will be very pleasant.

Interestingly, numbers and people's lives are everywhere in nature: on a person's navel, the golden section of a person's knees is the golden section of body length, and the feet of the navel. The overall length ratio of most doors and windows is 0.6 18 ... For some plant stems, two adjacent angular petioles are 137 degrees 28', which is exactly the included angle between the two radii of 1:0.6 18. According to research, this plant has the best ventilation and lighting angle. The golden section is very close to the people. The latitude range of the earth's surface is 0-90, in which gold, then 34.38-55.62, is the golden belt of the earth. As far as average temperature is concerned, annual sunshine hours, annual precipitation and relative humidity are the most suitable areas for human life. As it happens, this area covers almost all the developed countries in the world.

Observation is more important than life, and you will find the mathematics of a better life!