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The golden ratio appears when you divide a line, call it "a + b", into two parts, "a" and "b", such that the ratio b / a is the same as (a + b) / b. In words: the ratio of the total length to one of its parts is equal to the ratio of this part to the other part. This ratio (for example, b / a) is exactly (1 + square root of 5) / 2, or about 1.618. Its reciprocal (in the example, a / b) is one less: about 0.618.
My reply: Thank you Hilmarz! But I just found out a more simple way for stupid people like me! XD The golden ratio is when you divide a line into two unequal parts, so that the whole length divided by the longer part is equal to the longer part divided by the smaller part! But if I ever become a genius, I'll come back here and re-read your version!
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