Monday, 11 November 2013

The Golden Ratio


I will start by talking about something called the “Golden Ratio”, which is the perfect amount of something with respect to another. For example, the golden number of eggs in a standard yellow cake is 4. Golden ratio doesn’t only refer to a ratio between two things, everything in the world has a golden item. Like, the golden place for honeymoon is Paris.
Now let’s talk about our main topic.

Mathematicians wanted to know what the golden sequence is, it turned out to be the Fibonacci sequence, which I will explain why after telling you what the Fibonacci sequence is;

Each term in a Fibonacci sequence is the sum of the two previous terms:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811,...

This sequence might look simple, it is! But it has a very special characteristic; the example above is just the begging of the sequence where numbers are small, but from the 20th term and going on, a new rule is born: any term divided by the previous term gives exactly 1.618 which is {(1+5)/2}.  

Example: (bolded above)

46368/28657=1.618

75025/46368=1.618

It is named Fibonacci sequence after the name of Leonardo Fibonacci, a mathematician who lived in the middle ages and shocked the world with this sequence.


We have concluded that 1.618 is a golden number in mathematics, (you can make your own online research about the golden ratio 1.618 and get more proofs that it is a magical number), but does number have anything to do in our lives? Does it really exist or just a coincidence in math? Let’s find out!

After years of research, the golden ratio appeared in many places like in nature, art, faces, animals, and even buildings. The golden ration had been unintentionally applied in the pyramids of Egypt, the face of the Mona Lisa, the Parthenon in Greece, the spiral of galaxies, snails, sunflowers, and human body.

Since then, scientists wanted to know where the golden point on our earth is. In other words, the distance from the North Pole to the South Pole proportional to which distance will give a golden ratio?

After much calculations and using PhiMatrix which is a program used for producing the golden point of a given object, the golden mean point of the earth was Mecca, which is the city that holds the holy Kaaba, the most sacred site for Islam, and to which they must face when performing their rituals.

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