The Golden Ratio which is based off the number **phi (φ) = 1.61803398874**… discovered by Italian Mathematician **Fibonacci** (c. 1170 – c. 1250).

## Phi (φ) is the ratio between the number sequence:

## 1 , 1 , 2 , 3 , 5 , 8 , 13 , 21 , 34 , 55 , 89 , 144 , etc…

## The next number in the sequence is derived by adding 2 numbers together:

## 1+1 = 2, 1+2 = 3, 2+3 = 5, 5+8 = 13, 13+21 = 34, 34+55 = 89, 89+144, etc…

# When we divide two sequential numbers the ratio between these numbers soon become very close to φ (1.618)

**3/2 = 1.5**

** 5/3 = 1.67**

**8/5 = 1.6**

** 13/8 = 1.625**

**21/13 = 1.615**

** 34/21 = 1.619**

## A Golden spiral is a Logarithmic spiral that gets wider or further from its origin by a factor of φ for every quater turn it takes.

What’s so amazing about this number? Some believe that it is the most efficient outcome, the result of natural forces. Some believe it is a universal constant of design, the signature of God. Whatever you believe, the pervasive appearance of φ in all we see and experience creates a sense of balance, harmony and beauty in the design of all we find in nature. It should be no surprise then that mankind would use this same proportion found in nature to achieve balance, harmony and beauty in its own creations of art, architecture, colors, design, composition, space and even music.

**The Golden Ratio in use**

**The Golden Ratio in use**