Mistrz Witold

From the blog


The Magical Numbers of Fibonacci

Since someone discovered them, the Fibonacci numbers became a fascinating phenomenon for many people, and it is easy to explain at first glance. There are numerous examples in nature, and those numbers represent the proportions that people find ideal. The best way to demonstrate how these numbers are working in practice is to choose a face of any famous actor. One research has shown that many superstars have almost identical facial features in which we can find the Fibonacci numbers. The best example could be Denzel Washington who is said to have the perfect symmetrical face. By the way, it is a modern form of the most famous painting in the world.

From da Vinci to Modern Graphics

Even the universal genius Leonardo da Vinci used his knowledge of the Fibonacci numbers to create masterpieces like the Mona Lisa or The Last Supper. He also used the ideal relationship for the Vitruvian people. Johannes Kepler already found that the quotient of two consecutive Fibonacci numbers is approaching the golden ratio. People find this connection to be perfectly balanced, but the exact reason why do people see it n this way is still unknown. Interesting facts that the pyramids of Egypt and the Eiffel Tower in Paris also have connections with the Fibonacci numbers, that is why they seem nearly perfect and millions of people have been enthusiastic about these structures for decades and centuries.

The Discoverer Was a Publisher

According to some historical sources, these numbers were named after Leonardo da Pisa who was also called Fibonacci. He was a great mathematician who lived in Italy during the Middle Ages. Da Pisa may have been born in Pisa and died around 1240 but there is no exact and proven information. His grandfather was called Bonaccio, which in Italian means “pleasant”. The father of Leonardo was named after this word and it was taken as a name. His son was named Figlio di Bonaccio, which means something like “the son of Bonaccio”. As a result, the long surname got a shorter version finally, and he end up as Fibonacci. This great mathematician was working on many different tasks throughout his life. In his book “Liber Abbaci”, he summarized his findings on the golden ratio and the series of numbers that were known as Fibonacci Numbers. But that was a historic mistake because the real discoverers may have been Indian scholars who described the sequence of numbers in their notes called “Chhandah-Shastra” in early 450 BC.

The Fibonacci numbers have found their place in music also. After all, there is a close connection between proportions and formal processes in the fine arts. Numerous composers of spectral music regulate the oscillation with the dimensions of the Fibonacci series. It means that these fascinating numbers have not only found their way into nature, but they have been adopted by people. They have inspired people for a long time and have made a connection between natural and artificial things. Hopefully, science will uncover whether there are other secrets behind them.