What is the golden Ratio?..

“The concept of the golden ratio and what is the mystery of this concept?” You've been thinking. Perhaps you have heard this concept for the first time. So, what is the golden ratio, where did it come from, does it have a practical use in life? Is it a concept found in nature, or is it just a forced and artificial concept?

Mathematics, like other sciences and disciplines, can be turned into a dangerous toy in malicious hands. Just as rogue fortune-tellers create predictions from water, coffee grounds, or beans, so too can mathematics be used to infer ciphers from religious books and date calculations for the Day of Judgment from Nostradamus verses. You can use it to cut bread with a knife or to kill people, as in the example. Is the concept of the Golden Ratio a subject that can also be used in such exploits? Or is it useful for us to reach meaningful results when considered from a scientific point of view? For now, I think it's best to leave such skepticism to our minds and address the issue.

One of the many sub-topics covered in the gripping novel The Da Vinci Code by the author Dan Brown, who rose to prominence in 2004, was the golden ratio. Also known as the Fibonacci sequence and the Phi number. In fact, drawing attention to the concept of "Golden Ratio", which has been known throughout history, was one of the good aspects of the novel. Undoubtedly, one of the good aspects of the novel is to draw attention to the subject and the curiosity of the masses about this concept, which has been forgotten and remembered for thousands of years.

The aim of this study is to present the data and findings about the golden ratio in the most objective way possible. It does not aim to support or prove any ideological discourse by asserting the concept of the golden ratio.

Various sources did not hesitate to use the golden ratio issue in this way as a support for their ideological discourse. During the research for the study, similar deformations of such welds were removed.

In the study, objective data and findings were handled instead of deformed claims and efforts were made to reveal the facts.

The golden ratio is one of two numbers that, when added to the number 1, equals its square. The golden ratio is 1.618033.... is the decimal number that continues. The other number that is equal to its square when added to the number 1 is the decimal number continuing as - 0.618033...

Mathematical knowledge of the golden ratio was first introduced in BC. In the 3rd century, it was recorded under the name of "extreme and average ratio" in Euclid's work called Stoikheia ("The Elements"). The available data show that the history of this information actually dates back to Ancient Egypt, BC. It shows that it dates back to 3000 years. It is claimed that it was introduced to the Greek world by Pythagoras and the Pythagoreans.

In short, we can call the golden ratio "the ratio of the eye system".

As can be seen in history, artists have used this feature to create works that look beautiful to the eye. For example, the ratio of the height to the width of the Mona Lisa painting gives the golden ratio. It is a rectangular golden rectangle that appears when you draw a rectangle around the Mona Lisa's face. When you divide this rectangle with a line that you will draw at eye level, you will again get a golden ratio. The dimensions of the picture also form the golden ratio. B.C. Pythagoras (Pythagoras), one of the greatest mathematicians of all time who lived in the 500s, expressed the following thoughts about the golden ratio:

"The ratio of a person's height to his navel to his whole body, the ratio of the long and short sides of a pentagram, the ratio of the long and short sides of a rectangle, are all the same. Why is that? Because the ratio of the whole piece to the big piece is equal to the ratio of the big piece to the small piece." (If we compare the AB sides of a regular pentagon with the length AC of a pentagram to be drawn inside, we find its length as Ø = (1 + √5)/2 = 2cos(p/5) = 1.61803... that is the number of golden ratio.)

The answer to the mystery of the golden ratio is hidden in a series of numbers found by the Italian mathematician nicknamed Fibonacci. The feature of these numbers, also called Fibonacci numbers, is that each of the numbers in the sequence consists of the sum of the two numbers preceding it.

Who is Leonardo Pisano or "Fibonacci" as he is nicknamed?

Considered one of the greatest mathematicians of the Middle Ages, Fibonacci was born in the famous Italian city of Pisa in 1170, although it is not known for certain. He spent his childhood in Algeria, where his father worked. He received his first mathematics education from Muslim scientists and studied and studied the books of Islamic civilization.

In 1201 he wrote a mathematics book called "Liber Abacci" (book of algebra). He introduced the Arabic numerals and the number system we use today to Europe. In this book, he explained the basic mathematical rules (addition, multiplication, subtraction and division) that we learned in elementary school, by giving many examples. Although it is not known in Europe for its period, it would not be wrong to argue that this ancient knowledge had an initiating effect for a leap in mathematics. Europe has remembered the forgotten information thanks to Fibonacci…

Fibonacci Numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584,...

When you divide a number in the Fibonacci sequence by the number before it, you get numbers that are noticeably close to each other. This number is fixed from the number 13 in the series (233).

GOLDEN RATIO = 1.618

233 / 144 = 1.618

377 / 233 = 1.618

610 / 377 = 1.618

987 / 610 = 1.618

The Golden Ratio (golden section, also known as the golden ratio, the golden and divine proportion) is a property of the Fibonacci numbers. This remarkable ratio, which appears in art, nature and even living organisms, is seen by many as proof of the existence of a supreme Creator. I leave aside the discussion of whether the existence of the Creator should be proven, as it is irrelevant.

The general meaning of the Fibonacci sequence is: 'When you divide a number in the sequence by the number before it, you will get numbers that are very close to each other. Even after the 13th number in the series (233), this number is fixed. This number is called the 'golden ratio'.

The Golden ratio, which is fixed after a certain row, such as the "p" Pi number we know, after the 13th row, is equal to 1.61803398874989... It is symbolized by the "F" PHi from the Greek alphabet.