The Golden Number

I have been searching for an interesting topic to write on the blog for last few weeks 

(TOP SECRET:- to increase my counter to get best number in visitors)

First I planned to write about da vinci code A frictional novel by “Dan brown”  because of some interesting aspect in that like:

The message before death by Jacques Sauniere:-

Ciphered:-

13-3-2-21-1-1-8-5

O Draconian devil!

Oh, lame saint!

P.S. Find Robert Langdon.(it’s removed by police)

Deciphered:-

Scrambled: 13-3-2-21-1-1-8-5

Unscrambled: 1-1-2-3-5-8-13-21

O Draconian devil! (Leonardo Da Vinci)

Oh, lame saint (The Mona Lisa)

"P.S. Find Robert Langdon." P.S. stands for Princess Sophie.

Then by going through internet about this topic I come across an interesting information about mathematics. Did you have question in your mind that “Why Fibonacci series is that much popular?” because of Da vinci code or by an easy pattern of it to remember the another mathematical thing in it accept addition of previous two number is Φ-Golden number/Golden Ratio. 

Golden Number is an irrational number like pi (3.14159265358979……..).The value of golden number is 1.618033988749895...

We represent pi as 22/7 to reduce mathematical calculations such like that golden number is represented as (1+√5)/2

The magical thing or say golden thing in this number is 'Many natural entity are related with this Golden number like Human body structure Animal,Bird,Insects body structure & also man-maid architecture & painting'

Now you may be question that What is the relation between Fibonacci & Golden number?
The answer is as you increase number the ratio of next to previous number is getting closer & closer to golden number

In geometry when you divide a line by point there is a unique point in which the ratio of bigger part to whole line & smaller to bigger part is same that ratio is Φ

Many times you may draw the Star the points on which lines of stars cross other line is the same point i mention above

 

Now What is Magical in Golden Number then refer the below link(it will open in new tab/window)

Even I thought that The relation between vitruvian man & Golden Ratio
in Da vinci code is by making pentagonal Star in circle of virtuavian man we get the ratio of golden number & The Fibonacci series also point to golden number So i thought that Leonardo da vinci is closely related to the golden number/Ratio because also in his paintings he maintain the golden ratio 
He was really mysterious

REFERENCES:-

Wikipedia
Goldennumber.net 

Kindly post your Feedback & Suggestions by comments so i can improve my Blog...

Maya Numbers

 Maya Numbers

We are engineers & Mathematics is our “Bhagwat gita” so we should know about mathematics. And first & foremost thing come in to mind hearing mathematics is ‘Numbers’. What type Of Numeric representation you may know binary, octal, hexadecimal. & some special representation like (|,||,|||,||||,cut)

Today we know about ‘Maya Number representation’. We know that hexadecimal is 16 base numbers Maya is 20 based number it called ‘vigesimal’
 
The numerals are made up of three symbols; zero (shell shape), one (a dot) and five (a bar). For example, nineteen (19) is written as four dots in a horizontal row above three horizontal lines stacked upon each other.



Numbers above 19


Numbers after 19 were written vertically in powers of twenty. For example, thirty-three would be written as one dot above three dots, which are in turn atop two lines. The first dot represents "one twenty" or "1×20", which is added to three dots and two bars, or thirteen. Therefore, (1×20) + 13 = 33. Upon reaching 20^2 or 400, another row is started. The number 429 would be written as one dot above one dot above four dots and a bar, or (1×20^2) + (1×20^1) + 9 = 429. The powers of twenty are numerals, just as the Hindu-Arabic numeral system uses powers of tens.


Addition and subtraction

Adding and subtracting numbers below 20 using Maya numerals is very simple. Addition is performed by combining the numeric symbols at each level: If five or more dots result from the combination, five dots are removed and replaced by a bar. If four or more bars result, four bars are removed and a dot is added to the next higher column.

 

Similarly with subtraction, remove the elements of the subtrahend symbol from the minuend symbol: If there are not enough dots in a minuend position, a bar is replaced by five dots. If there are not enough bars, a dot is removed from the next higher minuend symbol in the column and four bars are added to the minuend symbol being worked on.

Note that this corresponds almost exactly to traditional addition and subtraction in the common base-10.