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golden section science definition

The ratio between two numbers a and b chosen such that the ratio of a to b is equal to the ratio of a+b to a. Its value is approximately 1.618. Shapes with proportions equal to the golden section are observed especially in the fine arts and in architecture, as between the two dimensions of a plane figure such as a rectangle. The ratio between consecutive numbers in a Fibonacci sequence approximates the golden section with increasing precision as the series progresses. Also called golden mean, golden ratio.

golden section

golden section

Two rectangles with the proportions of the golden section: the large rectangle, and the small one on the right inside it. The smaller rectangle has proportions a/b , equal to the proportions of the larger one, (a+b)/a .

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