# Golden Ratio

**The Idea Behind It**

The golden ratio divides a line into two parts so that: the long part divided by the short part ** is also equal to **the whole length divided by the long part.

A more accurate way to describe it would be, to call it a ratio of line segments when a line is divided into two parts (a and b), such that the ratio of ‘a’ to ‘b’ is the same as the ratio of (a+b) to ‘a’

## Golden Ratio in Real World

**Flower**

In the interior of a flower the ratio of every level’s granule to the next level’s granule is = 1.6180…

Many buildings and artworks have the Golden Ratio in them, such as the Parthenon in Greece, but it is not really known if it was designed that way.

**DNA**

A DNA molecule is 34Å in length and 21Å in width. The ratio is approximately equal to the golden ratio.

**Human body:**

Yes, phi is present in human body. Such as,

Total length of human body : Lower part of the body from navel = 1.6180…

Shoulder to knee : Knee to toe = 1.6180…

Human biceps : Hand = 1.6180…

In a Human body we can find more than 300 such types of Golden ratio.

## The Actual Value

The Golden Ratio is equal to:

1.61803398874989484820... (etc.)

The digits just keep on going, with no pattern.

## Formula

We saw above that the Golden Ratio has this property:

ab = a + ba

We can split the right-hand fraction like this:

ab = aa + ba

ab is the Golden Ratio φ, aa=1 and ba=1φ, which gets us:

φ = 1 + 1φ

So the Golden Ratio can be defined in terms of itself!

Let us test it using just a few digits of accuracy:

φ =1 + 11.618=1 + 0.61805...=1.61805...

With more digits we would be more accurate.

#GoldenRatio #Data #DataScience #DataAnalytics #PROBYTO

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