GOLDEN RATIO -APPLICATION

How is Golden Ratio applied on human face, sunflower and more.

4 min readJul 9, 2023

GOLDEN RATIO IN FACE AESTHETICS

Golden ratio is an ancient mathematical equation that defines one’s attractiveness. But how does a human face become attractive? It depends on how accurately it follows the golden ratio — 1.618.

BUT HOW IS IT APPLIED ON A HUMAN FACE?

A balanced face is generally 1.618 times longer than its width. The distance from the tip of the nose till the center of the lips should be 1.618 times the distance from the center of the lips till the chin. The hairline to the upper eyelid distance is classically 1.618 times the length of the top of the upper eyebrow to the lower eyelid. The width of an eye should be similar to the distance between the eyes.

These are some of the pointers that tell us how a face becomes attractive in association with the golden ratio and depending on the respective measurements a face can be called “perfect”.

Recently PHI (Protected health information) did research according to which the most beautiful woman is Jodie Comer and this was concluded based on the golden ratio and she was said to be 94.5% accurate to the proportions.

Even when plastic surgeons do the surgery on people’s faces to make it more attractive , mostly , they follow and fix the facial structures according to the divine proportion itself.

Although the golden ratio is just a proportion that can be used to make something beautiful and it tells if applied on human face, this is how it would be followed in order to become attractive and it isn’t a beauty standard.

APPLICATION OF GOLDEN RATIO IN THE LIFE OF SNAIL

Is the nautilus shell of a snail associated with golden ratio? Many say yes, but no evidence has been given yet. Well, not every spiral having equal angles is associated with the golden spiral. Many say no, but this was concluded only after the comparison of the shell to the golden spiral created with the golden rectangle. The rest only measured the height and width of the shell.

BUT WHAT IS THE CORRECT ANSWER?

A golden spiral is formed with the grouping of several golden rectangles, which is incorrectly compared with the nautilus shell as they are both different. The ratio of the shell is somewhere around 4 to 3. After measuring it with the nearest millimeter, the average was 1.33 which is not anywhere around 1.618 which clearly explains that they aren’t similar. “It seems highly unlikely that there exists any nautilus shell that is within 2% of the golden ratio, and even if one were to be found, I think it would be rare rather than typical.”, said Dr. Clement Falbo after doing research in the California Academy of Sciences in San Francisco.

DIFFERENCE OF RATIOS OF GOLDEN SPIRAL AND NAUTILUS SHELL

So in conclusion , the nautilus shell is a spiral, but its angle is not as same as the golden ratio.

APPLICATION OF GOLDEN RATIO IN A SUNFLOWER

When we talk about the golden ratio in nature, the first thing that comes to our mind is a sunflower! It is a beautiful bright flower which has yellow petals and an interesting brown patch called a disk floret at its center. Now, what makes it interesting is the golden spiral structure in it! Seeds in a sunflower follow the pattern of the Fibonacci series. The golden angle plays an important role for the creation of this unique arrangement of seeds. The Fibonacci series is a actually a number sequence where the sum of the last two numbers is the present one, for example — 1, 1, 2, 3, 5 etc… which is also called the golden spiral. This number sequence is also followed in the disk florets of sunflowers.

The golden angle is approximately 137.5° and seeds in the sunflower are arranged according to it. This angle is irrational which means that no seed has a neighboring one at the exact same angle from the center which creates the spirals in the pattern of sunflower seeds.