Golden Ratio

Aesthetic practitioners can learn how to assess the face and apply methods of “beautification” to the patients face. That is to assess the angles and measurements of beautification. This is called “phi” the “Golden Ratio” of beauty. This ratio helps us decide what we like in almost everything.

According to scientists, one of the most important reasons why we find proportional faces attractive is that it is an indicator of health. The Vitruvian Man by Leonardo da Vinci, which depicts the ideal human body, according to the Golden Ratio, is a particularly important drawing in this respect.

The mathematics of the Golden Ratio and of the Fibonacci sequence are intimately interconnected.

Starting with the number 1, this sequence progresses by taking the sum of the previous two digits after the second digit. In short, the sequence is 1, 1, 2, 3, 5, 8, 13, 21, … (21 = 8 + 13, 13 = 8 + 5 …). And this line gives a value close to the number 1.618 033 … of the previous one of each number. This number, which symbolizes the Golden Ratio, is referred to by the 21st letter “fi” of the Greek alphabet and the “Φ” symbol.

How does the Golden Ratio work with the human face?

In the picture above, the mask you see on the face of the model was created according to the golden ratio. In this photo, the model’s nose length, eye position, and jaw length are fully seated in the mask. This is the mathematical proof of beauty.

This mask was also applied to the face of Marilyn Monroe, one of the most iconic women in history.

The same was seen with Monroe’s face.

The works of art that have been processed according to this ratio are found since the ancient Greece.

In Ancient Greece, sculptor, and mathematician (500 – 432 BC), named Fidias, used the ratio in the Temple of Parthenon. Later Plato (428-347 BC) declared this number universally based on all mathematical operations.

Euclid later (365-300 BC) associated the golden ratio with the pentagram.

By 1200 the mathematician Leonardo Fibonacci appeared. The mathematician, who is also the founder of the Fibonacci sequence we mentioned at the beginning, observed that the ratio of consecutive numbers in this sequence pointed to a certain number. Moreover, as consecutive numbers grew, this number was even closer to gold. For example, the ratio of 5 to 3 is 1.666, while the ratio of 21 to 13 is 1.625, while the ratio of 233 to 144 is 1.618. All these numbers are consecutive numbers of the Fibonacci sequence, and as the values increase, the divisions of the numbers become closer to each other.

The Golden Ratio is also common in nature. For example, with the leaves and flowers of some plants, scientists think that the way plants have the best chance of getting the sun’s rays. This ratio can also be clearly seen in cones, tree branches, seashells, galaxies, hurricanes, fingers, and the structure of DNA.

At the same time, the length from the floor to the belly button and the length from the belly button to the top of our head also gives the Golden Ratio. Moreover, we are not the only animals that have the Golden Ratio on our bodies: dolphins, starfish, sea urchins, ants, and honeybees also have the Golden Ratio.

Additional examples of optimal facial proportions per the Golden Ratio:

  • The distance between our nostril’s outer edges should be equal to the distance between the inner and the outer corners of the eyes
  • The distance from the top of our nose to the centre of the lips should be 1.6 times the distance from the middle of the lips to the bottom of our chin
  • The distance between the forehead hairline to the upper eyelid should be 1.6 times the distance between the top of the upper eyebrow to the lower eyelid
  • The width of a single eye is equivalent to the distance between both eyes