Golden Ratio

The Golden Ratio is a mathematical ratio. In mathematics, when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.

ab = a + ba = 1.618 = Φ (phi)

Where ‘phi’ Φ represents golden ratio.

When we divide a line into two parts so that:
the long part divided by the short part is also equal to the whole length divided by the long part.
Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

Formula

As above,

ab = a + bb
ab = aa + ba

ab is the Golden Ratio φ, aa=1 and ba=1φ, which gets us:

Φ(phi) = 1 + 1Φ

How to Calculate

Simple formula for the Golden Ratio

Φ(phi) = 12 + √52

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