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Golden Ratio - The Mathematical Beast of the Beauty

December 30, 2016Staff

Author: Suraj Kamath
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Ever wondered, at least while hearing the name of a beauty competition champion like Ms. Universe Aiswarya Rai, that on what basis the models are qualified and given the championship in the competition pageant…???
Followed by so many tests such as personality, general knowledge, stress handling, the contestants will go through a beauty checking process. So now here is the question. On what basis the contestants are evaluated?
The concept of beauty may differ from person to person. Still, there is a recognized measure to "mathematically" check “Beauty”. That is The Golden Ratio. The Golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.
It is often symbolized using phi, after the 21st letter of the Greek alphabet. In an equation form, it looks like this:
a/b = (a+b)/a = 1.6180339887498948420 …
It is an irrational value which can also be represented by ϕ = (1+(5)^0.5)/2
A photograph showing the measurements of beauty in the human face.
Around 1200, mathematician Leonardo Fibonacci discovered the unique properties of the Fibonacci sequence. This sequence ties directly into the Golden ratio because if you take any two successive Fibonacci numbers, their ratio is very close to the Golden ratio. As the numbers get higher, the ratio becomes even closer to 1.618. For example, the ratio of 3 to 5 is 1.666. But the ratio of 13 to 21 is 1.625. Getting even higher, the ratio of 144 to 233 is 1.618. These numbers are all successive numbers in the Fibonacci sequence.

The Golden ratio also appears in all forms of nature and science. Some unexpected places include:
Flower petals: The number of petals on some flowers follows the Fibonacci sequence. It is believed that in the Darwinian processes, each petal is placed to allow for the best possible exposure to sunlight and other factors.
Seed heads: The seeds of a flower are often produced at the center and migrate outward to fill the space. For example, sunflowers follow this pattern.
Pinecones: The spiral pattern of the seed pods spiral upward in opposite directions. The number of steps the spirals take tend to match Fibonacci numbers.
Sculptures and Paintings: Great painters like Da Vinci and ceramists like Picasso do care about the golden ratio to be included in their work.
Tree branches: The way tree branches form or split is an example of the Fibonacci sequence. Root systems and algae exhibit this formation pattern.
Shells: Many shells, including snail shells and nautilus shells, are perfect examples of the Golden spiral.
Spiral galaxies: The Milky Way has a number of spiral arms, each of which has a logarithmic spiral of roughly 12 degrees. The shape of the spiral is identical to the Golden spiral, and the Golden rectangle can be drawn over any spiral galaxy.
Hurricanes: Much like shells, hurricanes often display the Golden spiral.
Fingers: The length of our fingers, each section from the tip of the base to the wrist is larger than the preceding one by roughly the ratio of phi.
Animal bodies: The measurement of the human navel to the floor and the top of the head to the navel is the Golden ratio. But we are not the only examples of the Golden ratio in the animal kingdom; dolphins, starfish, sand dollars, sea urchins, ants and honeybees also exhibit the proportion.
DNA molecules: A DNA molecule measures 34 angstroms by 21 angstroms at each full cycle of the double helix spiral. In the Fibonacci series, 34 and 21 are successive numbers.
Modern Technology and even its logos: The new and innovative companies nowadays try to include the golden mean in their products as well as in their ads. Research shows that it carry the magic to attract the eye vision to look at it.

This is how the golden ratio is technically used in measuring the “amount of beauty”.
So friends now update your conditions in the matrimonial site…!!

Image Credits: Wikipedia, Google

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