The Fibonacci Series is 0,1,1,2,3,5,8,13,21,34,55,......
This Series is generated by adding two number before it :
for example :
5 is found by adding two numbers before it that is 2+3.
5 is found by adding two numbers before it that is 2+3.
Similarly 8 is found by adding two numbers before it that is 5+3.
and so on..
The Fibonacci Sequence can be written as a rule such as
Xn=Xn-1 + Xn-2
For example : Xn-1=21 and Xn-2=13 Therefore Xn becomes 34.
When we make a square as shown below we get a Spiral shape :
Golden ratio : If we take two successive number Fibonacci number we get a known as Golden Ration which has the approximate value as 1.61803399....
Bigger the pair of Fibonacci Numbers, the closer the approximation.
The symbol for Golden ration is φ (phi).
Fibonacci in Nature:
The Fibonacci appears in the smallest, to the largest objects in nature. It is a way for information to flow in a very efficient manner.
some of the images below shows the Fibonacci sequence in Nature
Fibonacci sequence in Cancer Cell Division
Fibonacci sequence in Galaxy
Xn=Xn-1 + Xn-2
For example : Xn-1=21 and Xn-2=13 Therefore Xn becomes 34.
When we make a square as shown below we get a Spiral shape :
Golden ratio : If we take two successive number Fibonacci number we get a known as Golden Ration which has the approximate value as 1.61803399....
Bigger the pair of Fibonacci Numbers, the closer the approximation.
The symbol for Golden ration is φ (phi).
Fibonacci in Nature:
The Fibonacci appears in the smallest, to the largest objects in nature. It is a way for information to flow in a very efficient manner.
some of the images below shows the Fibonacci sequence in Nature
Fibonacci sequence in Cancer Cell Division
Fibonacci sequence in Galaxy
2=a2+2ab+b2.jpg)
