Tuesday, July 20, 2010
How Fibonacci Series is Different from other Number Series?
Labels: fibonaccisecret, goldenmean, seashell | 0 comments »
How Fibonacci Series is Different from other Number Series?
while answering this question i am having another question in my mind that is how the numbers are related with each others in that number series.if i got the answer for this question then that is the answer for the previous question also.
How the Numbers are related in Fibonacci Series?
The ratios are derived by dividing any number in the series by the next
higher number, after 3 the ratio is always around 0.625.
For Example take 5 and 8 , 5/8 = 0.625
After 89, it is always around 0.618. If you divide any Fibonacci number by the preceding number,
after 2 the number is always around 1.6 and after 144 the number is always around
1.618. These ratios are referred to as the "golden mean."
The Ratios .
1/1=1
2/1=2
3/2=1.5
5/3=1.66
8/5=1.6
13/8=1.625
21/13=1.61538
34/21=1.61538
55/34=1.61764
89/55=1.6181
134/89=1.6179
like that finding the ratios.in this ratios result you are able notice the magic number 1.618 all the results the decimal part will around 1.618.See the image below.
In that Diagram Note this it totally made up of squares.where as overall image is a rectangle.This rectangle, if you measure it, has the magic ratio of 1.618. Also if you look at the curved lines within each of the squares you will notice that these are infact quarter circles, but, as a whole you would be forgiven for thinking that they look like the cross section of a sea shell.
And you'd be right, for this is the same as the growth rate of the beautiful Nautilus Sea Shell
while answering this question i am having another question in my mind that is how the numbers are related with each others in that number series.if i got the answer for this question then that is the answer for the previous question also.
How the Numbers are related in Fibonacci Series?
The ratios are derived by dividing any number in the series by the next
higher number, after 3 the ratio is always around 0.625.
For Example take 5 and 8 , 5/8 = 0.625
After 89, it is always around 0.618. If you divide any Fibonacci number by the preceding number,
after 2 the number is always around 1.6 and after 144 the number is always around
1.618. These ratios are referred to as the "golden mean."
The Ratios .
1/1=1
2/1=2
3/2=1.5
5/3=1.66
8/5=1.6
13/8=1.625
21/13=1.61538
34/21=1.61538
55/34=1.61764
89/55=1.6181
134/89=1.6179
like that finding the ratios.in this ratios result you are able notice the magic number 1.618 all the results the decimal part will around 1.618.See the image below.
In that Diagram Note this it totally made up of squares.where as overall image is a rectangle.This rectangle, if you measure it, has the magic ratio of 1.618. Also if you look at the curved lines within each of the squares you will notice that these are infact quarter circles, but, as a whole you would be forgiven for thinking that they look like the cross section of a sea shell.And you'd be right, for this is the same as the growth rate of the beautiful Nautilus Sea Shell
The Fibonacci Numbers Are the Numbers Which Exists in Fibonacci Sequence (or) Series.
Then the next question arised in our minds is then "What is Fibonacci Series?".
What is Fibonacci Series?
The Fibonacci Series is nothing but the Certain ratios of Number series that regarded as describing the natural proportions of things in the universe.
Why this number series is named as Fibonacci Series?
This number series was first observed by Leonardo Fibonacci the Italian Mathematician Who lived in thirteenth century.So this ratios of number series is named as Fibonacci Series.
What are all the numbers in Fibonacci Number Series?
The Fibonacci Number Series : 1,2,3,5,8,13,21,34,55,89,144,233,377...................................
How This Number Series Derived?
This number series is derived by starting number with 1 followed by 2 adding 1+2 =3 the third number is three 3 .then 2+3=5 the fourth number is 5 then 3+5=8 the 5th number is 8 then 8+5=13 the sixth number is 13 like that its goes on.
Then the next question arised in our minds is then "What is Fibonacci Series?".
What is Fibonacci Series?
The Fibonacci Series is nothing but the Certain ratios of Number series that regarded as describing the natural proportions of things in the universe.
Why this number series is named as Fibonacci Series?
This number series was first observed by Leonardo Fibonacci the Italian Mathematician Who lived in thirteenth century.So this ratios of number series is named as Fibonacci Series.
What are all the numbers in Fibonacci Number Series?
The Fibonacci Number Series : 1,2,3,5,8,13,21,34,55,89,144,233,377...................................
How This Number Series Derived?
This number series is derived by starting number with 1 followed by 2 adding 1+2 =3 the third number is three 3 .then 2+3=5 the fourth number is 5 then 3+5=8 the 5th number is 8 then 8+5=13 the sixth number is 13 like that its goes on.
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