Magic and mysterious Fibonacci numbers

The world of numbers and numbers is large and diverse. It is full of all sorts of interesting facts. For many centuries, not a single human society has been without numbers and calculations. There are many outstanding, talented mathematicians who put their whole soul into their discoveries. It was to such scientists that Leonardo Fibonacci belonged. A young mathematician from the small town of Pisa made a huge contribution to science. A sequence of mathematical values ​​of the Fibonacci number was named after him. Now everyone knows that everything in this world is natural and has its own sequence.

fibonacci numbers
At one time, Leonardo wrote the β€œBook about the abacus,” where he detailed all his discoveries. So the problem of rabbits became known to the whole world. It is based on two pairs of animals, one of which can give offspring, and the second not. Therefore, in the end, starting from the third generation, the next number of rabbits will be equal to the sum of all members of the previous two. So the following sequence was revealed ( Fibonacci numbers ):

1, 1, 2, 3, 5, 8 ... 610, 987, 1597, 2584 ... 39088169, 63245986, 102334155

fibonacci number
No less exciting is the consideration of the various spirals that are found everywhere: hurricanes and tornadoes, seeds in sunflowers, cones, leaves on trees, etc. It turns out that here lies the Fibonacci number. If you build a spiral and divide it into several rectangles with sides 144, 89, 55, it turns out that the side of each subsequent figure is equal to the side of the previous one. And the sequence of these numbers is equal to the described series. But if you draw arcs in each square, then together they form a spiral. This once again proves that the Fibonacci number is just magical.

However, it was found that people have been familiar with this sequence since ancient times. Of course, we can assume that this is an accident or a mere coincidence. But the fact remains: the pyramids in Giza are built on the principle of the Fibonacci number. So, the area of ​​each face of the pyramid is equal to its height squared. And if the length of the rib is divided by the height of this amazing structure, then we get a number equal to 1.618. It is this value that will turn out if each next value from the sequence is divided into the previous one.

fibonacci levels
Leonardo made a significant contribution to the economy with his discovery. Using a sequence of numbers today, many economists can predict the future of the exchange. For this, Fibonacci levels were identified. Now you can correctly determine the levels of resistance and support or the size of the correction of product promotion. That is, the Fibonacci numbers help determine which direction the trend will turn in, or calculate the rollback levels. The continuation of the movement of the first and the period when the last will end are also calculated according to a known sequence.

So, Fibonacci numbers can be found at every step. After all, plants, spirals and interesting buildings surround us everywhere. Such a sequence can also help in the economy, in controlling and building trend development. These numbers helped us understand that everything in this world has its own sequence and pattern.


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