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
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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