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Is there a purpose to the Fibonacci Sequence?
I know the numbers, but I don’t know the meaning of them. Is there some kind of use for the numbers?
It has been recognized that nature gains advantage by “natural selection” when it happens to evolve certain structures that are governed by the Fibonacci series..
It crops up all over the place, …..
….. I’ll see if I can find some links to some good examples.
I presume you know how the sequence works i.e. 0+1 = 1 1+2 = 3, 2+3 = 5 etc so you get the idea and the sequence will be 0 1 1 2 3 5 8 13 etc.
It is used for a lot of things including analysis financial markets and the Fibonacci search technique, both of which are tricky to understand, but it has it’s uses and wiki explains it very well.
Here is a link to some images Googled using the search string “ fibonacci series in nature “:
http://funadvice.com/r/14pt3u7hn1n
The genetic information creating the structures in most of those images creates close packing of composite parts in which the Fibonacci series happens to be present in the optimum arrangements that result in the most efficient usage of space with maximum benefit in such things as maximum yield of seeds (hence greatest number of viable “offspring”) maximum yield of energy via photosynthesis etc..
I know they are used in financial markets, and in computer algorithms…but as far as practical use, its not really mathematically relevant, meaning it’s not something you use a lot. Fibonacci numbers are very mysterious. They don’t exactly have a purpose, they just have relevance…because we can make connections between the numbers and things in nature.
Example: If you have 2 rabbits, then they breed…you will then have 3 rabbits…3 rabbits breed to make 5 rabbits, and 5 rabbits breed to make 8…and so on. That’s the Fibonacci Sequence.
Here’s a page I found that gives a detailed example and explanation - http://funadvice.com/r/14pt46jma2h
The book “Nature’s Numbers” by Ian Stewart is very readable and has a very good chapter making reference to the importance of the Fibonacci Series in nature.
I recommend you read it. Although he is a Professor of Mathematics at Warwick University it is a book written for the layman with nothing beyond the scope of the average intelligent reader.
I’ll look into it. Thanks!
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