The Golden Ratio-A Golden Principle Of Life

Ever admired the beauty of the Parthenon of Greece, the renowned painting of Leonardo Da Vinci or the logo of Twitter?

They might definitely look like a set of different objects yet they share some commonness of great importance -The Golden Ratio. The ratio responsible for the aesthetics, the perfect face, etc. The list is Endless.

What exactly is the ratio?
If suppose we take aline divided into two unequal parts a andb, then the ratio of(a+b)/a=a/b,where a is the larger part of theline. The golden ratio is equal to approximately 1.618 and pronounced as phi.

The idea and discovery of this ratio is older than one can think of . It is about 200 decades old that approximates to 2000 years, to the time of Euclid. Surprisingly the ratio is so omnipresent in the surroundings that we live that not once, not twice but it has been rediscovered several times in a row with a variety of names such as divine proportion, golden section,golden mean etc. It was in 1509 that the great sculptor and mathematician Luca paciaoli penned down his Discovery in his book referring to the number as divine proportion.

A number of artists and mathematicians like Da Vinci have used this ratio to enhance the beauty of their paintings especiallyThe Vitruvian man and the most famous Mona Lisa.

Artists like Michelangelo, Rembrandt,selvador Dalitoo knew how important it was and therefore never stepped back to use it adamantly.

Here are a few such real life examples of the same
1.The Great Pyramids of Great
Built around 4,500 years ago this monumental relic were Earlier a part of the Egyptian Kingdom and now features in the seven wonders of the world. Looking at the dimensional properties one can safely figure out the ratio of the base(756) feet to height(481) feet to be close to golden ratio.

2.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. Another belief states that it is possible that milky way galaxy was the only one in multiverse to abide by the golden ratio hence the formation of the same was possible.

3.Tree branches
It is also believed that the way a tree branch is split also follows the norms of golden ratio whereas formation of algae too depict the same.

4.Beautiful faces
How many of you have looked at yourself at the mirror and embraced or maybe despised your face? Well rethink as the golden ratio plays a vital role again. It is believed and has been found that themost beautiful faces have proportions of golden ratio. Be it the width of your face, eyes or eyebrows the right proportions of golden ratio the better you look.

5.DNA molecules
What more fundamental than the building blocks of our bodies. Each full cycle of the double helix spiral measures 34 angstorms by 21 angstorms which again is a part of Fibonacci series and thus golden ratio.

Some more prominent examples as given below are
The mona lisa by Leonardo Da Vinci

The logo of Mercedes benz

The Eiffel tower

It's incredulous to discover and look how mathematics and art are connected to each other by a fundamental binding ratio common to each phenomenon that we see,the beautiful faces that we encounter natural shells,natural disasters such as hurricanes,monuments like Eiffel tower and what not. It remainsa fundamental principle to the artists and mathematicians alike since time immemorial. The sculptors in the past knowingly or unknowingly made use of this fundamental ratio explicitly. The omnipresence in the vicinity increases blatant beauty to admire after all what is more fundamental than The Golden Ratio to each of us as humans.