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In mathematics, phi represents the Golden Ratio. Two numbers are in the Golden Ratio if the ratio of the smaller to the larger number is the same as the ratio of the larger number to the sum of the two.

Thus, is a and b are the two numbers and a < b, then

if a/b = b/(a+b), the two ratios equal phi.

phi is irrational and = [1 + sqrt(5) ]/2 = 1.618034 approx.


Alternatively, phi is the positive root of the quadratic x^2 - x - 1 = 0


The ratio has aesthetically pleasing properties and has been used extensively by artists and architects. Also, the A4 family of paper as well as the B series, have sides in the phi ratio.

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Q: What number is phi?
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