Reason Why? I Love Maths - Part 1

        I love Maths not as Subject for scoring marks, but for the way it has taken shape. Only lovers of Maths can appreciate things so-called Encryption. Similarly, some interesting facts about Maths.
      
        I believe this is some super power. To show humans that everything is inter-related and nothing is stand-alone. Maths can be seen in nature, as usually i blabber the artists and mathematician of ancient times made it clear " MATHS IS EVERY WHERE".

       Have any one heard of something called golden ratio.If not,Here it is

Expressed algebraically:

The definition is the ratio of the sum of the quantities to the larger quantity is same as the ratio of larger quantity to smaller quantity.

The golden ratio is often denoted by the Greek letter phi (Φ or φ).
 The golden ratio is an irrational mathematical constant, approximately 1.6180339887. The value of phi used is 1.618.

Significance of 1.618:


Hope  everyone knew Fibonacci series, our class guys wont forget( Every lab this will be the first program we do write).

Even then,
Fibonacci numbers are: 0,1,1,2,3,5,8,13,21,34,55,89,....

Just compute the ratio of larger number to smaller one,

1/0 = undermined.
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.6666
8/5 = 1.6
13/8 = 1.625
21/13 = 1.61538.

so it seems that the value gets stable approx 1.618...

Golden Rectangle:

When we equate this separately, we will get phi^2 - phi -1 = 0.

Solving the quadratic equation, we get phi = 1.618......

The rectangle that have sides ratio as 1:1.618 is called Golden Rectangle.

The golden rectangle is shown below:

We can see the breadth is 1 units and  length is 1 + sqrt(5) / 2 (which equals 1.618).
So breadth : length = 1 : 1.618.

Golden ratio in Nature:

Click the pic to see animated view...
           

This is also golden rectangle, but u try finding it?

Golden Spiral is a logarithmic spiral whose growth factor b is related to golden ratio.Specifically, a golden spiral gets wider( or further from its origin) by a factor of j for every quarter turn it makes.

                                           A Nautilus shell reveals golden spiral




 Coming back to my Da Vinci, as told he is also a mathematician. So his paintings do portrays this Golden rectangle.

The Vetruvian Man and Monalisa :

In architect too,

The fact that golden ratio exist in human hand,in nature, in animal. Golden ratio is only 0.000.. percent of maths concepts, think of entire maths relation with nature and humans. Unimaginable.

Solution to the Da vinci's Chart

  La Profezia is the Chart's name.This was Da Vinci's last undecrypted chart for a long while.

     The technique used is hard for a normal human to imagine, once the decrypting grid is know its childs play to find what the message is!

The Decryption grid is the one below,

So, using this ,the message La Profezia said was  "The truth will be told in 2003".   I have given you the grid and the answer, its your exercise to find how the decryption is done?


NOTE : I am not aware of what the truth is all about?Its 2010 now, 7 years up??? What might be the truth?

Leonardo da Vinci - Influential Man in the history of World!

          Well known as Da Vinci. Real name: Leonardo di ser Piero da Vinci, which means Leonardo, (son) of (Mes)ser Piero from Vinci.

                                [This is self -portrait in red chalk]

I know Da Vinci only as a painter. Only  after reading about this great man. I  knew that  he was also an  polymath: painter, sculptor, architect, musician, scientist, mathematician, engineer, inventor, anatomist, geologist, cartographer, botanist and writer.

Monalisa: 

Everyone have seen or at least heard about the famous Monalisa(La Gioconda), this  was considered to be the Master Piece of Da Vinci. Those of you have not heard about this before  watch  "The Da Vinci Code"(Movie) or read  the Novel by Dan Brown, else goggle Monalisa.

Next famous painting of Da vinci is The Last Supper

I have seen this painting in my school. Until i happened to watch the movie i did know the mysterious nature of this painting. This painting in particular played a key in that Movie. This was painted in 1490's at Milan.

These  paintings of Da vinci was suspected to have many hidden secrets and he is considered to be one of the Grand Masters of Priory of Sion.  The best fact i think i came to know was  "Da vinci can write in both hands and he is a Mirror  Writer". Most of his work were written in Left hand, all mirror written.

A single post cannot appreciate  the works of this Great Man. I admired his painting so i wrote this!! Google about him and know more about him!!


P.S: He is also a mathematician and a cryptologist, because of which his paintings were suspected to have hidden messages.

Decrypt this : 

 Want few more to decrypt click here...