The mysterious Fibonacci number equal to 1.618 has been exciting the minds of scientists for several millennia. Someone considers this number the builder of the universe, someone calls it the number of God, and someone, without further ado, simply applies it in practice and gets incredible architectural, artistic and mathematical creations. The Fibonacci number was found even in the proportions of the famous "Vitruvian Man" by Leonardo Da Vinci, who argued that the famous number, which came from mathematics, governs the entire universe.
Who is Fibonacci?
Leonardo of Pisa is considered the very first major mathematician in the history of medieval Europe. Despite this, the scientist received his famous nickname "Fibonacci" not because of his extraordinary mathematical abilities, but because of his luck, since "bonacci" means "lucky" in Italian. Before becoming one of the most famous mathematicians of the early Middle Ages, Leonardo of Pisa studied exact sciences with the most advanced teachers of his time, who were considered the Arabs. It is thanks to this activity of Fibonacci that the decimal number system and Arabic numerals appeared in Europe, which we still use today.
In one of his most famous works, Liber abaci, Leonardo of Pisa cites a unique pattern of numbers that, when placed in a row, form a line of numbers, each of which is the sum of two previous numbers.
Each number from the Fibonacci series, divided by the subsequent one, has a value tending to a unique indicator, which is 1.618. The first numbers of the Fibonacci series do not give such an accurate value, however, as it grows, the ratio gradually levels out and becomes more and more accurate.
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Leonardo of Pisa - the same creator of the Fibonacci number.
Why is the Fibonacci number so often used in nature?
Due to its ubiquitous application in nature, the golden ratio (this is how the Fibonacci number is sometimes called in art and mathematics) is considered one of the most harmonizing laws of the universe, which orders the structure of the world around us and directs life to development. So, the rule of the golden ratio is used by nature to form trajectories of vortex flows in hurricanes, during the formation of elliptical galaxies, to which our Milky Way belongs, during the "construction" of a snail shell or human auricle, directs the movement of a school of fish and shows the trajectory of movement of a frightened school deer scattering away from a predator.
The manifestation of the golden ratio in nature.
The aesthetics of such a harmonization of the universe is perceived by a person who has always sought to improve the reality around him, as a law stabilizing the nature. Finding the golden ratio in the person of this or that person, we instinctively perceive the interlocutor as a harmonious personality, whose development occurs without failures and disturbances. This may explain why we sometimes, for some unknown reason, like one face more than another. It turns out that nature took care of our possible sympathies!
The most common definition of the golden ratio is that the smaller part refers to the larger one as the larger part refers to the whole. A unique rule is found in all areas of nature, science and art, allowing some eminent researchers of the Middle Ages to make the assumption that the three main parts of the golden ratio personify the Christian Father, Son and Holy Spirit.
Even galaxies follow the Golden Ratio. Our Milky Way is no exception in this regard.
From the point of view of mathematics, the golden ratio is a kind of ideal proportion, to which all living and nonliving in nature somehow strives. Using the basic principles of the Fibonacci series, seeds grow in the center of a sunflower, the DNA spiral moves, the Parthenon was built and the most famous painting in the world - La Gioconda by Leonardo Da Vinci - was painted.
Even cats unconsciously (although, who knows?) Follow the principle of the golden ratio, becoming the favorites of most of the world's population.
Is there harmony in nature? Undoubtedly there is. And its proof is the Fibonacci number, the origin of which we have yet to find.
Daria Eletskaya