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- CarsonLv 61 decade agoFavorite Answer
黃金分割是根據黃金比例,將一條線分割成兩段 . 總長度 a+b 與長度較長的 a 之比等於 a 與長度較短的 b之比. 黃金分割又稱黃金比,是一種數學上的比例關係。

The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures

圖片參考： http://mathworld.wolfram.com/images/eps-gif/Golden...

Given a rectangle having sides in the ratio, is defined as the unique number such that partitioning the original rectangle into a square and new rectangle as illustrated above results in a new rectangle which also has sides in the ratio (i.e., such that the yellow rectangles shown above are similar). Such a rectangle is called a golden rectangle, and successive points dividing a golden rectangle into squares lie on a logarithmic spiral, giving a figure known as a whirling square.

Based on the above definition, it can immediately be seen that

Φ／１＝１／（Φ－１）

Φ^２－Φ－１＝０

Φ＝1.618

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