Golden Ratio. It's Very Interesting !
If you want to find the mysterious or the practical aspects or the nature, then the Golden Ratio will be the biggest and most impressive; And repeatedly reminds us of his superiority with his fingers. This is the number of researchers who have studied the most.
What is so much about the golden ratio of the research? It is nothing but a mathematical value is the ratio of 1.618033988 ...... . Yes, it is a cruel but true fact that this Golden Ratio is as naughty as the other two famous figures.
What is this naughty (Amalud) number of such greatness? Actually, this number is hidden in the number of mysteries of the universe, in a little deeper look, we will find it in our body parts, whole organisms, materials or chemistry, pub in our solar system, in our galaxy; You can find the logo of the famous company like Apple, Mercedes. This number will tell us why the Pyramid or the Taj Mahal is so beautiful? Why is Vinicha Monalisa world famous? Why is Katrina Kaif more beautiful than our girlfriend? Which is more interesting, Angelina Jolie or Ananta Jalil? Who is more cool, Tom Cruise or Shakib Khan? These questions will be answered from this number. So let's enter The Number of Life - The Golden Ratio In The World..
The golden ratio or golden ratio is expressed by the Latin letter Φ (PHI / FI) . PHI is used more. First of all, we start with the mathematical explanation of PHI (hmm, math here, everything that starts in math).
Mathematician Euclid gave his first explanation in the Elementus, the first PHI of the geometric. He is on a straight line to a point imagine (called Golden Point ), so that the line is divided in such proportions that a small portion / big part = large part / full part . And the most surprising thing is that the ratio of the above will always be 1.6180 ...: 1 (PHI: 1) . And Euclid did this by extending the value of PHI in this way:
Or on the contrary, we can say that this ratio is 1: 1.6180 ... = 0.6180 ... and. This is 0.6180 ... but also called golden ratio . And it is expressed by the smallest hand ( φ ). That means the relationship is like this: Φ = 1 / φ
PHI(Φ) can be expressed in many ways; Looks like it looks familiar:
Φ = 1 + 1 / (1 + 1 / (1 + ...))
This PHI(Φ) is the only number that behaves like this:
There is a deep relationship with PHI(Φ) but the Fanochi series. Well, what is the Fibonacci series? This is a series in which each sentence is the sum of the previous two terms:
1,1,2,3,5,8,13,21,34,55,89,144…………
We can also get the value of PHI from the Future Series. If we divide any of the Future series in the previous terms, that number is PHI !! The reckoning for the first few positions will seem a bit awkward, but as we go through the Future Series, the ratio of the serial numeral will move towards PHI; And 39 th in terms of the ratio of the serial sankhyadbayera will be almost constant, and the constant number PHI(Φ).
Now let's see how to come from Fibonacci to PHI. We first draw a square on the back of one of the pictures according to the Fanny sequence (1 May 1 square one, then 1 square one, then 2 squares one, then 3, then gradually 5, 8, 13,21,34 square one). And if we want to draw it in such a way, why would we always create a special rectangle wherever it is said, this special rectangle is called Golden Rectangle . Why is that? Because the length of the rectangle is equal to: width = 1.6180 ... = golden ratio (PHI). Now if we add an ear to the verse one after the other (like the figure) a spiral will be created; Called in Golden Spiral . And there is also the relation of PHI with curvature of the spiral.
Those who are already annoyed by the turbulence of Ganit, will not bother them anymore. Now it goes straight into the real world. Where is the real surprise of PHI? But remember this Golden Rectangle and Golden Spiral , it will be useful in front.
Leonardo de Vinci - called the master of the Golden Ratio, whom he called it 'The Divine Proportion' or 'Heavenly Ratio'. Because he is the first person to see the presence of PHI; Understanding the meaning (he used to do a lot of research on the outer and inner limbs of the dead body, what the autopsy calls to, and what we see in the doctor's chamber, the people who saw the organs of the doctor were the first ones designed by Vinchi).
PHI(Φ) in human body? What kind of it? For example, in case of boys and girls of all ages, the entire length of the body: the length of the remaining part of the navel is 1.6180 ... (PHI); Again, from the shoulders to the knees and the knees to the tip of the toes, and the ratio of distance to 1.6180 ... (PHI); The ratio of the total hand to human arm (biceps) is 1.6180 ... (PHI); Length of the elbows length of the human finger and the length of the elbows from the wrists to 1.6180 ... (PHI); The length and breadth of human face ratio is 1.6180 ... (PHI); The length of the lip length and the nasal width, the dimensions of the eye 2, the dullness of the hair and the dullness of the eyes and the 1.6180 ... (PHI). In all the face of the face, the knot of the body, in the vertebrae, the inner body, this PHI can be found everywhere. More than 300 Golden Ratio (PHI) is found in the whole human body; More than 30 faces are found in the face. Look at this,
But here there is a 'but' That 'But' depends on our beauty. We'll talk about that 'but' later. Let's go to another context.
Meanwhile, our Leonardo Vinci was not only sitting in the autopsy report. He began to apply it equally (or subconscious mind) to the golden ratio (PHI). Where? His artwork. PHI is found in most of the art works; The last Supper, Merry Magdalin, Monalisa are all the creatures of PHI. And that is why they have conquered the minds of the worldly people. The following figure shows how PHI was applied to Monalisa; The Golden Rectangle or the Golden Spiral sits in the full height. (Yet there is one thing but Monalisa did not have the eyebrows ... there is also many more mysterious aspects of Monalisa 's photo). Besides, many artists have applied PHI in their work. Such a picture:
Not only the human body, but there are PHI static levels in all the bodily plants. All the plants - progeny parts are also divided into PHI proportions. Even the animal has no hands and feet, such as snail-shell-seal shell, there is no way PHI! [Pictured below]
Then suppose the ratio of the number of bees and bees in the bees to a bean is PHI. In the flower the ratio of the next level with the layer of the layer is PHI. PHI ratio increase in leaf level Then, along with bees, many other kinds of flies, insects, wild dogs, etc. are the path of movement or way of attack according to Golden Spiral (ie PHI). Even if we do not have a Major Groove and Minor Groove ratio in our DNA, it will also be PHI. See also how the chicken eggs can fit into the golden spiral!
In the field of physics or magnetic field, simple rhythmic vibrations, thermodynamics are available everywhere. If we want to interpret the electron or proton g-factor from quantum mechanics , then there is also PHI: g-factor of electron = -2 / sin (PHI).
If we do not have a ratio of polarized hydrogen bonds and general hydrogen bonds, then it will also be PHI.
Now we see how PHI came to the architecture. PHI has been used in many more architectures including the Egyptian Pyramid of Egypt, the Taj Mahal in Agra, the French Eiffel Tower, Notre Dame, Parthainen, and the United Nation Building . Below are some samples
There are also PHIs for music notes. Many more musical instruments including Violin have been made by PHI
Let's see how PHI is used in some famous company's logos. [Pictured below]
Hurricanes, cyclones, smoke coils always grow by following the Golden Spiral. Even the galaxies are expanded by following the Golden Spiral. [Image: Galaxy and Hurricane]
Our solar system relates to the PHI around the sun's rotation. They are converted into the form of the indicator of PHI with the rotation of the Earth. The rotation of the Earth below is 1 and some are rotated (how many times than the Earth)
In the case of Saturn planet, the ratio of the outer ring and the outer dark circle PHI
Also, with the formation of the triangle below with our earth and the moon, it is in sin ratio with PHI (Ø) (like the image below)
PHI came in the Bible too (in the description of the Ark of the Convocation). If we do not have the distinction of Mecca's Kaaba from the North Pole and South Pole, then its proportion will be PHI (No, I'm not trying to prove anything through it; I believe it is a coincidence incident only).
Many more such PHIs have been found in the solar system, in the universe, around our globe. In the extreme chaos of the universe, the PHI (Golden Ratio) maintains its discipline. Within all things, there is an unobtrusive combination. PHI can be found only if you look a little deeper in everything. That is why it is called the number of life, the divine proportion (the divine ratio).
The beauty of everything is hidden in this PHI. The beauty of man depends on it. How? All people have PHI; So why are not everyone equally beautiful? Why not equally interesting? Yes we will find answers to that question in the next phase.
