Traditional Culture Encyclopedia - Almanac inquiry - What is the golden section formula?
What is the golden section formula?
The golden section formula is (√5- 1)/2. The golden section refers to dividing a line segment into two parts, so that the ratio of one part to the total length is equal to the ratio of the other part to that part. Its ratio is an irrational number, and the approximate value of the first three digits is 0.6 18. Because the shape designed according to this ratio is very beautiful, it is called the golden section, also known as the Chinese-foreign ratio. Usually expressed by φ. This is a very interesting number, approximately expressed as 0.6 18.
Characteristics of golden ratio
The most basic formula of golden ratio is to divide 1 into 0.6 18 and 0.382, which have the following characteristics (1). Any number in the sequence consists of the sum of the first two numbers. (2) The ratio of the previous number to the latter number approaches a fixed constant, namely 0.6 18. (3) The ratio of the last number to the previous number is close to 1.6 18. (4) 1.6 18 and 0.6 18 are reciprocal, and their product is approximately equal to 1. (5) If any number is compared with the last two numbers, its value is close to 2.618; If compared with the first two figures, its value tends to 0.382.
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