Mathematics beyond numbers-2

Hey buddies! Here we go again.
Quick recap,
Fibonacci sequence: 1,1,2,3,5,8,13,21,34,.........
In case you missed the previous blog on the said topic, kindly visit-

Now, let's make squares with sides the length of Fibonacci numbers and arrange them together, so that they form a rectangle. Now when you join the two opposite edges of squares you get a curve: The Fibonacci Spiral.


 It looks familiar, right? 
Think, isn't the shape of the universe the same spiral?


*Uncurling Fern- 


*The shell of a snail 


*Flower


*Your very own fingerprint 


 Tell me other examples too in the comments ;)

Now if you take two consecutive numbers from the sequence (like 2&3,3&5,21&34) and divide the bigger number by the smaller ones, the average number you’ll get is 1.6103399...
 Which is the Golden Ratio. Denoted by Greek letter phi, Φ.
 What’s so special about it?
 Well, divide the length of your arm with the length of your forearm. You will get a number similar to this.
Also, if you divide the length of your whole body by half its length (till navel) that’s the answer you get. The Golden Ratio. 


The Ratio of the major and minor groove of the DNA molecule is also the Golden Ratio.


Enough of real-life examples, now let's delve a little into the art world.
You might have heard about the Rule of Thirds. It is simplified version of Golden ratio. 
Golden Ratio in Photography-




Artworks of Leonardo Da Vinci like The Last Supper, Mona Lisa, etc shows dimensions based on the Golden Ratio.




Michelangelo's work, The creation of Adam.

To know more visit-
The ratio of dimensions in The Sacrament of the last supper by Dali is the golden ratio.


Things made with the dimensions of this ratio are believed to be beautiful, pleasing to the mind. There are many ancient architectures made using this ratio.
The Greek Architecture, Parthenon. 



Pyramids of Egypt.


The United Nations building.


The Golden Ratio is present in various living and nonliving entities. Due to its overwhelming presence throughout nature, it is often revered as divine. Hence, it is also known as the Divine Proportion.
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Numbers are present all around us in many fascinating forms. The least we can do is observe and appreciate.

  "नज़ारे को जरा नज़रीयेसे तो देखो..!"

Tell me in the comments about your views on this topic. Share. 

Thanks for reading.
.
If you're interested in reading more on the topic. Book Rec for you- The Da Vinci Code by Dan Brown.
Also. you can checkout-
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* Images used in the blog are for illustrative purposes. They are from the internet, I do not own them. Credits to the rightful owners.
Information source: Internet, The Da Vinci Code by Dan Brown.
Location: India

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