Magic and mysterious Fibonacci figures

The world of numbers and numbers is great and varied. He is full of all kinds of interesting facts. Without numbers and calculations for many centuries, no one human society can do. 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. His name was a sequence of mathematical meanings of the Fibonacci number. Now everyone knows that everything in this world is natural and has its own sequence.

At one time, Leonardo wrote "The Book of the Abacus," which detailed all his discoveries. So the whole world became aware of the problem of rabbits. It is based on two pairs of animals, one of which can give offspring, and the second - no. Therefore, as a result, starting with the third generation, the next number of rabbits will be equal to the sum of all the members of the previous two. So the following sequence ( Fibonacci numbers ) was revealed:

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

Equally fascinating is the consideration of the various spirals that we meet everywhere: hurricanes and tornadoes, seeds in sunflowers, cones, leaves in trees, etc. It turns out that even here the Fibonacci number hides. If you build a spiral and divide it into several rectangles with sides 144, 89, 55, then 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 hold arcs in each square, then together they form a spiral. This proves once again that the Fibonacci number is simply magical.

However, it was found that with this sequence people have known 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. Thus, the area of each face of the pyramid is equal to its height in a square. And if the length of the rib is divided by the height of this amazing structure, then a number equal to 1.618 is obtained. It is this value that will be obtained if each subsequent value from the sequence is divided into the previous one.

Significant contribution to his discovery introduced Leonardo into the economy. With the help of a sequence of numbers today, many economists can predict the future fate 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 unfold, or calculate the rollback levels. The continuation of the movement of the first and the period when the last period ends, are also calculated according to a known sequence.

So, Fibonacci numbers can be met at every step. Because we are everywhere surrounded by plants, spirals and interesting buildings. Such a sequence can help in the economy, in controlling and building the development of the trend. These numbers helped us to understand that everything in this world has its own sequence and regularity.