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The number of gold and its derivatives are the key to the beauty and uniqueness of the world around us. It is present in flowers, in animals and in humans.
The world around us is full of parts and elements very beautiful and unique . The simplest example of this can be flowers, which have been loved for centuries by humans. But there is more: animals, buildings, fruit or even people. In all of them we find a beauty and uniqueness that makes them be attractive.
Why does this happen? What has nature to be as beautiful and “perfect”? The reason hides behind three simple mathematical theories linked each other: the Fibonacci sequence, the golden segment and the number of gold also called number fi –
What are these. three concepts and how they are interrelated
Let’s start with a single definition of each of these items:
Fibonacci Starting from number one, the Fibonacci sequence is to add up the results of the last operation with most counting. That is: 0 + 1 = 1 , 1 + 1 = 2 , 1 + 2 = 3 , 2 + 3 = 5 , 3 + 5 = 8 , and so on.
The golden segment. is a two-part segment so that equality is true (a + b) / a = a / b , where (a + b) is the total of the segment, the largest part and b part smaller.
Number of gold. known for centuries, the golden number also called fi or áureo- number is associated with beauty and nature. It is represented by the Greek letter “phi” (φ), pronounced “fi” and its value is 1.61803398874989 … It is an irrational number, since it has infinite decimals no newspapers.
Once known these three concepts, it is time to relate to each other.
Fibonacci and the number of gold. If we divide two successive numbers of the Fibonacci sequence, we get a number very close to gold ratio. As higher the number of the Fibonacci sequence, the ratio will go closer and closer to the optimum value of the number of gold. For example: 8/5 = 1.6 , but 1597/987 = 1.6180344478 , which is even closer to the golden ratio as determined 1.61803398874989
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The golden segment and the number of gold. The relationship between the terms and b in the equation (a + b) / a = a / b which determines the golden segments, it is precisely the golden ratio. That is, if we divide a / b or perform (a + b) / a , we will get the golden number. It is for this reason that the number of gold is also known as the golden ratio or golden ratio. Likewise, the golden segment and its derivatives are named after this proportionality.
The influence of the golden ratio in the world around us
The Fibonacci sequence, the golden ratio and its derivatives (such as Fibonacci Spiral) are present in nature and are considered standards of beauty , uniqueness and intelligence. You can see, for example, at:
The galaxies and black holes
Flowers such as roses or sunflowers.
For animals such as mollusks.
In art and in humans.
August 23, 2015
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