Fibonacci sequence and Golden Ratio: magic numbers of Nature

Our life is full of unknown secrets and to discover them - is one of the most interesting thing one could imagine. Real example - Fibonacci sequence and Golden Ratio that is widely used in nature. Moreover, people who learned it and used it have achieved success created really beautifull things.

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So what is it ?

Fibonacci sequence - is such math sequence, where next number is found by adding up the two numbers before it. Something like this:

0, 1, 1, 2, 3, 5, 8, 13, 21 ...

What will be the next one? Move you mouse pointer over the answer to check your answer :)

Golden Ratio - is such ratio of two quantities which is the same as the ratio of their sum to the larger of these two quantities. It is better to show it on the picture :

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If you type 'golden ratio' in google browser, it will tell you that it equals 1.61803398875

One interesting thing - if we begin to find ratios in Fibonacci sequence between two consistent numbers, the result will try to reach Golden Ratio.

How nature uses Fibonacci sequence

Just look at your body:

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Now compare this:

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and this:

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The result is obvious.

How people use Fibonacci sequence

People who know the code and use Golden Ratio in their work, have created awesome things:

In architecture:

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In painting:

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And even in music:

Website designers also know it:

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What about forex/crypto traders? Very many use fibo levels, and you can find this indicatator on many exchanges including poloniex:

Here fibo levels are red horizontal lines and you notice how price behaves near these levels.

Conclusion

Fibonacci numbers and Golden Ratio may be found almost everywhere
and, what is most interesting, when something is based on these magic numbers, it looks great. So, maybe it is a key to understand what harmony is and a tool to be in harmony with nature ? What if our life evolves by some spiral and we encounter similar situations in bigger scales? I think that it seems to be true, and you?