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
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.
A DNA molecule is 34Å in length and 21Å in width. The ratio is approximately equal to the golden ratio.
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:
The digits just keep on going, with no pattern.
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
Subscribe & Follow us for latest in field of AI & Tech and stay updated!