The Fibonacci Series

The Fibonacci series is a continuous string of numbers 1,1,2,3,5,8,13,21,34,... which is created by adding two numbers to get the next one. This is shown in the table below:

 1 +

 1 =

 2
        
 

 1 +

 2 =

 3
      
   

 2 +

 3 =

 5
    
     

 3 +

 5 =

 8
  

 1

 1

 2

 3

 5

 8

 etc...

By dividing a Fibonacci number by the number before it you get a graph like this:

 1

 1

 2

 3

 5

 8

 13

 21

 34
.

 1/1

 2/1

 3/2

 5/3

 8/5

 13/8

 21/13

 34/21
.

 1

 2

 1.5

 1.666..

 1.6

 1.625

 1.615..

 1.619..

This levels out to an evergoing number which is about 1.618. 1 : 1.618 is called the golden ratio. The number 1.618 is called phi after the Greek sculptor Phidias who used the golden ratio in his sculptures, and its special symbol is the Greek letter ø.

The Golden Rectangle >

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