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Phi is the Greek letter which represent the golden number **1.618**. Phi is the only number whose square is greater than itself by one, when expressed mathematically

**Φ ^{2} = Φ + 1 = 2.618**

We can derive the above equation in the following ways.

**Φ ^{2} = Φ^{1}+Φ^{0}**

**Φ ^{3} = Φ^{2}+Φ^{1}**

This can be further written as

**Φ ^{n+2}= Φ^{n+1}+ Φ^{n}**

**Φ ^{n} = Φ^{n-1} + Φ^{n-2}**

Another significant fact about phi is, its the only number whose reciprocal is less than itself by one, which can be expressed as **1/Φ = Φ - 1 = 0.618.**

Symbol of phi in upper case is represented as Φ. Symbol of phi in lower case is represented as φ

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