The Fibancci Sequence

 

Hiya guys sorry I havent written much lately, been busy trying to write a new science book (which isnt looking good lately), but I have something special for you guys in this post.

The fibanci sequence is a series of numbers that go like this;

0,1,1,2,3,5,8,13,21,34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ...

It just goes on forever! The next number is found by adding up the two numbers before it. The 2 is found by adding 1+1, the same for 21 which is 8+13 etc.

In fact when you add squares next to each other it makes a spiral as depicted below.


                                               


                                              The squares put together make a spiral

Do you see how the squares fit neatly together?
For example 5 and 8 make 13, 8 and 13 make 21, and so on.

Thats great and all, but what is so special about the fibancci sequence?

What is so special about the Fibonacci sequence is that it exhibits a certain numerical pattern which originally was the answer to an exercise in the first ever school algebra text. But this pattern turned out to have importance far beyond what they all thought at the time.

It is used to model or describe an amazing variety of phenomena, in maths, science, art and nature, you name it! The mathematical ideas the Fibonacci sequence leads to, such as the golden ratio (which is 1.618...), spirals and self- similar curves, have long been appreciated for their charm and beauty, but no one can really explain why they they are so appealing, but many people think that nature has hardwired us to like this particular pattern so as to have healthy offspring and such.

 

 This is a song by a famous band called Tool and they have used the numbers of the fibancci sequence to write the beats to the song and so on. Its a very nice song.