Guangdong Science Center "Academician's Talk" | 0.618033988...The mystery of the golden section

2021/10/1412:47:05 science 1000

original work originated from Guangdong Science Center official WeChat public account

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she is close to 1span _ _ _strongp16strong golden proportions …"

"Well, the composition of this photographic work uses the golden ratio..."

strongspan _strongspan _strongspan 16 strong12span 1 , Then what is it, and why does it play an important role in art fields such as painting, sculpture, music, architecture, and even management and engineering design?

This issue [Academician said], let us learn about the "golden section" with Academician Du!


About the origin of the golden section

Then, the pair of rabbits will regenerate, and the new pair of bunnies will also start to give birth to a new pair of bunnies, and so on, how many bunnies will there be in a year?


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In 1202, the Italian accountant Leonardo Fibonacci (Leonardo Fibonacci, also known as Leonardo of Pisa) wrote a book of calculations ".

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This is the first book in Europe to use Arabic numerals ( 1span3 span1 _span3 _ _span3 _ _span3 _ _span _span91) It contains a wide range of content. Including how to use abacus ( _span 3span ) invented by our Chinese, how to keep accounts, how to calculate the interest of the rabbit, and so on. In it.

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Back to the little rabbit problem. The solution to this problem is this:

1st month: 1p1p1 (right) +1=2

3rd month: 1+2=3

4th month: 2+3=5

5th month: 3+5=8

6th month: 5+8 =13

11th month (1 year): 55+89=144

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So,There are 144 pairs and 288 in total. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,... are called Fibonacci sequence . There is a simple formula to calculate:

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If we then calculate the ratio of this sequence:

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5

Big time), there are:

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This is the famous golden ratio.

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Fibonacci also used the notation of score and the notation of square root in his "calculation book". This is the first time in the world.


Guangdong Science Center

Guangdong Science Center

However, Fibonacci’s greatest contribution to the balance of accounts may be his detailed method of accounting. To this day, as large as countries and regions, as small as families and individuals,All are using this simple but effective method.


Application of the golden ratio

The golden ratio of 0.618033988... is a pan number full of infinite magic. It not only plays a magical role in mathematics, but also can find the existence of this magical number in the fields of nature, architecture, aesthetics, art, military, music and so on.

aesthetic art scene

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Guangdong Science Center

Guangdong Science Center

Guangdong Science Center

natural circle

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construction circle

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In your life,What other applications are the golden section? Maybe your cat’s sleeping position is a perfect golden ratio, don’t believe me!

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Written by Du Ruxu

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