Issue 123 - The Vedic Pictographic Alphabet
​Vedic Mathematics Newsletter No. 123
 
A warm welcome to our new subscribers.
 
 
This issue’s article (at the end of this newsletter) is titled “The Vedic Pictographic Alphabet”. The author is Robert Hoff, a curious, creative, pattern seeker who loves the Vedic square.
 
At first glance, one may think these patterns have little to no significance and are not related to each other, but in fact they are significant and related.

 
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NEWS
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4TH INTERNATIONAL VEDIC MATHS CONFERENCE
This will take place at Chaitanya Bharathi Institute of Technology (Autonomous), Hyderabad from 29th to 31st August.
More details here:
https://www.instavm.org/



BOOK ON VEDIC MULTIPLICATION

Nacho Ruiz Cia has had a book has had a book published by Penguin Random House about Vedic Multiplication "Multiplica como nadie". So 
Vedic Maths is becoming more well known in Spain:
ISBN: 978-84-17664-18-3



EXCELLENT TEACHING VIDEO

Intermediate Level Class 1 : Osculation, the Ultimate Divisibility check
https://youtu.be/hJhZcyoL1hE

This delightful lesson is about 58 minutes, but if you are like me you will not be able to stop watching until you reach the end.



VEDIC MATHS USED FOR INDIA LUNAR MISSION


Chandrayaan 2 is an Indian lunar mission that is due to land on the Moon's south polar region in September 2019. The current Shankaracharya at Puri -Nischalananda Saraswati - who is the 2nd successor of Bharati Krishna Tirthaji had input on this mission during his visit to ISRO when he helped scientists with his knowledge of Vedic Mathematics. See:

https://odishatv.in/odisha/chandrayaan-2-launch-how-puri-shakaracharya-helped-isro-scientists-390579 



VEDIC MATHS BOOKS ON AMAZON

We are in the process of putting the Vedic Maths books listed here:
http://www.vedicmaths.org/shop/books
onto Amazon and Pothi.

The books will be sold as paperbacks and ebooks and some are already available (see the links with each book on the above page).



UPDATE TO WEBSITE

We have to update the software that runs the Vedic Maths website on a regular basis to maintain compatibility with our hosting providers and to keep the website secure from hacking attempts (which we have seen recently when we have had to adjust the contact page to stop an exploit which allowed our website to be used to send spam emails).

Normally these updates are minor in nature and occur on a regular basis without any disruption to the site. However at some point in the future we will have to perform a major update to the software we use to run the website.

We are planning to use this update to review the format and features of the website. As we are not the sole repository of ideas, we thought we would open up the discussion to those on the mailing list, as you have shown an interest in Vedic Maths.

If you wish to make suggestions regarding website design, or new features and content, then feel free to make constructive suggestions via our contact page or reply to this email.

We are currently planning to review different website templates to see whether the navigation of the site can be improved. Feel free to submit examples of websites that show good design or features that make them more useful.

We are also considering revamping the graphics used in the website. So please make suggestions or even submit graphics or design ideas (please be aware that we do not have the money to pay for content, so you would have to allow us to use it copyright free).

I believe the new software will potentially come with new features, so we will be reviewing whether any of these would be of use to the website. If you see a feature on another website that you think our site might benefit from, then send us the link and some comments on why you think it might improve the website.

Creating new tutorials is rather time consuming, which is why this does not occur on a regular basis. However you can make suggestions for new tutorials and will consider how much time we have available.

Please be aware that creating a forum on the website is an issue that would require us to monitor bad posts, spam and the behaviour of undesirable characters. So this is a more complicated issue than just the technology of creating a forum. Again time and money costs of monitoring posts would normally make this prohibitive.

Clive Middleton (webmaster)
 

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ARTICLE FOR NEWSLETTER 123
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THE VEDIC PICTOGRAPHIC ALPHABET
by robert hoff

full video here: https://youtu.be/0A6eCpTpXgQ

It is widely known that highlighting numbers on the vedic square makes symmetrical and beautiful patterns.  At first glance, one may think these patterns have little to no significance and are not related to each other, but in fact they are significant and related.  This article will explore how we can make a complete alphabet of these patterns/configurations (pictographs) and why doing so is an important step in understanding the world around us.

To begin we must first remove the outer frame of the vedic square.  Traditionally, this frame consists of the numbers zero thru nine along the upper x and y axes and all nines along the lower x and y axes.  The frame is removed in order to retain the overall symmetry of the square when a pictograph utilizes the number nine.  Thus, we arrive at the octal 8x8 internal grid of the vedic square and can begin highlighting combinations on it.

We can start finding every possible combination by counting all the way up to…a billion?!...and we’ll only need a certain number of pictographs to do this.  Amazing!  But how do we figure out this magical number of total pictographs?  There are two ways.  We can either use the process of counting through place values or use a formula found in combinatorics and statistics.  First, let’s discover how we can make the pictographic alphabet using just our creative minds.

Counting single digits up to two place values is easy since every number is used only once and we don’t have to worry about omitting any combination that may have a repeating number.  At two place values we begin to see it is impossible to include every combination in our alphabet since zero is not used.  Thus, the number 10 is omitted and the number 11 is a repeating digit so it is omitted as well.  Combinations are increasingly omitted as we count up to three place values and so on.  This method works well for discovering every applicable combination up to four place values but becomes more difficult once we get into the higher place values.  Let’s take a look at an example of this counting method in two digits before we dive in to the formula that easily generates every possible combination for us.

{1,2} {1,3} {1,4} {1,5} {1,6} {1,7} {1,8} {1,9}
{2,3} {2,4} {2,5} {2,6} {2,7} {2,8} {2,9}
{3,4} {3,5} {3,6} {3,7} {3,8} {3,9}
{4,5} {4,6} {4,7} {4,8} {4,9}
{5,6} {5,7} {5,8} {5,9}
{6,7} {6,8} {6,9}
{7,8} {7,9}
{8,9}

As you can see above, the first line counts from 10 to 20 (12, 13, 14, 15, 16, 17, 18, 19), the second line from 20-30, the third 30-40, and so forth; every number from 10-99 is not included and with good reason.  We can organize the combinations for three place values in the same manner and when we do this, we see a fractal pattern of the overall ‘k’ set (‘k’ being the number of place values).  As neat as that is, this phenomenon is not all that important to determining every pictograph we can make.  So, let’s take the easy route and check out the combinatoric method to making the vedic pictographic alphabet.
 
First, we must define rules in order to use the correct formula and achieve the desired result.  

Is order important?  NO.

Is repetition allowed?  NO.

These two rules produce the formula:  n! ÷ (k! ( n – k )!)

Because we are using the digits 1 thru 9, n = 9

Because we are “counting through place values,” k = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

The resultant:

# of Digits

0

1

2

3

4

5

6

7

8

9

# of Combinations

1

9

36

84

126

126

84

36

9

1


1 + 9 + 36 + 84 + 126 + 126 + 84 + 36 + 9 + 1 = 512

Do you notice that the number of combinations row is a palindrome and is “divided” or “reflected” at 4 and 5?  As you watch the video, you’ll notice that when k = 5 the highlighted squares begin to inverse or reflect.  That is, at k = 5, all of the non-highlighted squares are k = 4 but in reverse order.  This becomes more apparent in the video when k = 8, where all of the non-highlighted squares are k = 1 in reverse.

Oddly enough, when calculating the number of possible combinations, there is a definitive order to the sets of combinations despite not having order to generate said combinations.  This mirrors the counting method we previously discussed and accounts for how each pictograph seamlessly blends with one another when we play every pictograph from k = 0 to k = 9 in sequential order.


List of Combinations:
k = 0
{0}

k = 1
{1} {2} {3} {4} {5} {6} {7} {8} {9}

k = 2
{1,2} {1,3} {1,4} {1,5} {1,6} {1,7} {1,8} {1,9} {2,3} {2,4} {2,5} {2,6} {2,7} {2,8} {2,9} {3,4} {3,5} {3,6} {3,7} {3,8} {3,9} {4,5} {4,6} {4,7} {4,8} {4,9} {5,6} {5,7} {5,8} {5,9} {6,7} {6,8} {6,9} {7,8} {7,9} {8,9}

k = 3
{1,2,3} {1,2,4} {1,2,5} {1,2,6} {1,2,7} {1,2,8} {1,2,9} {1,3,4} {1,3,5} {1,3,6} {1,3,7} {1,3,8} {1,3,9} {1,4,5} {1,4,6} {1,4,7} {1,4,8} {1,4,9} {1,5,6} {1,5,7} {1,5,8} {1,5,9} {1,6,7} {1,6,8} {1,6,9} {1,7,8} {1,7,9} {1,8,9} {2,3,4} {2,3,5} {2,3,6} {2,3,7} {2,3,8} {2,3,9} {2,4,5} {2,4,6} {2,4,7} {2,4,8} {2,4,9} {2,5,6} {2,5,7} {2,5,8} {2,5,9} {2,6,7} {2,6,8} {2,6,9} {2,7,8} {2,7,9} {2,8,9} {3,4,5} {3,4,6} {3,4,7} {3,4,8} {3,4,9} {3,5,6} {3,5,7} {3,5,8} {3,5,9} {3,6,7} {3,6,8} {3,6,9} {3,7,8} {3,7,9} {3,8,9} {4,5,6} {4,5,7} {4,5,8} {4,5,9} {4,6,7} {4,6,8} {4,6,9} {4,7,8} {4,7,9} {4,8,9} {5,6,7} {5,6,8} {5,6,9} {5,7,8} {5,7,9} {5,8,9} {6,7,8} {6,7,9} {6,8,9} {7,8,9}

k = 4
{1,2,3,4} {1,2,3,5} {1,2,3,6} {1,2,3,7} {1,2,3,8} {1,2,3,9} {1,2,4,5} {1,2,4,6} {1,2,4,7} {1,2,4,8} {1,2,4,9} {1,2,5,6} {1,2,5,7} {1,2,5,8} {1,2,5,9} {1,2,6,7} {1,2,6,8} {1,2,6,9} {1,2,7,8} {1,2,7,9} {1,2,8,9} {1,3,4,5} {1,3,4,6} {1,3,4,7} {1,3,4,8} {1,3,4,9} {1,3,5,6} {1,3,5,7} {1,3,5,8} {1,3,5,9} {1,3,6,7} {1,3,6,8} {1,3,6,9} {1,3,7,8} {1,3,7,9} {1,3,8,9} {1,4,5,6} {1,4,5,7} {1,4,5,8} {1,4,5,9} {1,4,6,7} {1,4,6,8} {1,4,6,9} {1,4,7,8} {1,4,7,9} {1,4,8,9} {1,5,6,7} {1,5,6,8} {1,5,6,9} {1,5,7,8} {1,5,7,9} {1,5,8,9} {1,6,7,8} {1,6,7,9} {1,6,8,9} {1,7,8,9} {2,3,4,5} {2,3,4,6} {2,3,4,7} {2,3,4,8} {2,3,4,9} {2,3,5,6} {2,3,5,7} {2,3,5,8} {2,3,5,9} {2,3,6,7} {2,3,6,8} {2,3,6,9} {2,3,7,8} {2,3,7,9} {2,3,8,9} {2,4,5,6} {2,4,5,7} {2,4,5,8} {2,4,5,9} {2,4,6,7} {2,4,6,8} {2,4,6,9} {2,4,7,8} {2,4,7,9} {2,4,8,9} {2,5,6,7} {2,5,6,8} {2,5,6,9} {2,5,7,8} {2,5,7,9} {2,5,8,9} {2,6,7,8} {2,6,7,9} {2,6,8,9} {2,7,8,9} {3,4,5,6} {3,4,5,7} {3,4,5,8} {3,4,5,9} {3,4,6,7} {3,4,6,8} {3,4,6,9} {3,4,7,8} {3,4,7,9} {3,4,8,9} {3,5,6,7} {3,5,6,8} {3,5,6,9} {3,5,7,8} {3,5,7,9} {3,5,8,9} {3,6,7,8} {3,6,7,9} {3,6,8,9} {3,7,8,9} {4,5,6,7} {4,5,6,8} {4,5,6,9} {4,5,7,8} {4,5,7,9} {4,5,8,9} {4,6,7,8} {4,6,7,9} {4,6,8,9} {4,7,8,9} {5,6,7,8} {5,6,7,9} {5,6,8,9} {5,7,8,9} {6,7,8,9}

k = 5
{1,2,3,4,5} {1,2,3,4,6} {1,2,3,4,7} {1,2,3,4,8} {1,2,3,4,9} {1,2,3,5,6} {1,2,3,5,7} {1,2,3,5,8} {1,2,3,5,9} {1,2,3,6,7} {1,2,3,6,8} {1,2,3,6,9} {1,2,3,7,8} {1,2,3,7,9} {1,2,3,8,9} {1,2,4,5,6} {1,2,4,5,7} {1,2,4,5,8} {1,2,4,5,9} {1,2,4,6,7} {1,2,4,6,8} {1,2,4,6,9} {1,2,4,7,8} {1,2,4,7,9} {1,2,4,8,9} {1,2,5,6,7} {1,2,5,6,8} {1,2,5,6,9} {1,2,5,7,8} {1,2,5,7,9} {1,2,5,8,9} {1,2,6,7,8} {1,2,6,7,9} {1,2,6,8,9} {1,2,7,8,9} {1,3,4,5,6} {1,3,4,5,7} {1,3,4,5,8} {1,3,4,5,9} {1,3,4,6,7} {1,3,4,6,8} {1,3,4,6,9} {1,3,4,7,8} {1,3,4,7,9} {1,3,4,8,9} {1,3,5,6,7} {1,3,5,6,8} {1,3,5,6,9} {1,3,5,7,8} {1,3,5,7,9} {1,3,5,8,9} {1,3,6,7,8} {1,3,6,7,9} {1,3,6,8,9} {1,3,7,8,9} {1,4,5,6,7} {1,4,5,6,8} {1,4,5,6,9} {1,4,5,7,8} {1,4,5,7,9} {1,4,5,8,9} {1,4,6,7,8} {1,4,6,7,9} {1,4,6,8,9} {1,4,7,8,9} {1,5,6,7,8} {1,5,6,7,9} {1,5,6,8,9} {1,5,7,8,9} {1,6,7,8,9} {2,3,4,5,6} {2,3,4,5,7} {2,3,4,5,8} {2,3,4,5,9} {2,3,4,6,7} {2,3,4,6,8} {2,3,4,6,9} {2,3,4,7,8} {2,3,4,7,9} {2,3,4,8,9} {2,3,5,6,7} {2,3,5,6,8} {2,3,5,6,9} {2,3,5,7,8} {2,3,5,7,9} {2,3,5,8,9} {2,3,6,7,8} {2,3,6,7,9} {2,3,6,8,9} {2,3,7,8,9} {2,4,5,6,7} {2,4,5,6,8} {2,4,5,6,9} {2,4,5,7,8} {2,4,5,7,9} {2,4,5,8,9} {2,4,6,7,8} {2,4,6,7,9} {2,4,6,8,9} {2,4,7,8,9} {2,5,6,7,8} {2,5,6,7,9} {2,5,6,8,9} {2,5,7,8,9} {2,6,7,8,9} {3,4,5,6,7} {3,4,5,6,8} {3,4,5,6,9} {3,4,5,7,8} {3,4,5,7,9} {3,4,5,8,9} {3,4,6,7,8} {3,4,6,7,9} {3,4,6,8,9} {3,4,7,8,9} {3,5,6,7,8} {3,5,6,7,9} {3,5,6,8,9} {3,5,7,8,9} {3,6,7,8,9} {4,5,6,7,8} {4,5,6,7,9} {4,5,6,8,9} {4,5,7,8,9} {4,6,7,8,9} {5,6,7,8,9}

k =  6
{1,2,3,4,5,6} {1,2,3,4,5,7} {1,2,3,4,5,8} {1,2,3,4,5,9} {1,2,3,4,6,7} {1,2,3,4,6,8} {1,2,3,4,6,9} {1,2,3,4,7,8} {1,2,3,4,7,9} {1,2,3,4,8,9} {1,2,3,5,6,7} {1,2,3,5,6,8} {1,2,3,5,6,9} {1,2,3,5,7,8} {1,2,3,5,7,9} {1,2,3,5,8,9} {1,2,3,6,7,8} {1,2,3,6,7,9} {1,2,3,6,8,9} {1,2,3,7,8,9} {1,2,4,5,6,7} {1,2,4,5,6,8} {1,2,4,5,6,9} {1,2,4,5,7,8} {1,2,4,5,7,9} {1,2,4,5,8,9} {1,2,4,6,7,8} {1,2,4,6,7,9} {1,2,4,6,8,9} {1,2,4,7,8,9} {1,2,5,6,7,8} {1,2,5,6,7,9} {1,2,5,6,8,9} {1,2,5,7,8,9} {1,2,6,7,8,9} {1,3,4,5,6,7} {1,3,4,5,6,8} {1,3,4,5,6,9} {1,3,4,5,7,8} {1,3,4,5,7,9} {1,3,4,5,8,9} {1,3,4,6,7,8} {1,3,4,6,7,9} {1,3,4,6,8,9} {1,3,4,7,8,9} {1,3,5,6,7,8} {1,3,5,6,7,9} {1,3,5,6,8,9} {1,3,5,7,8,9} {1,3,6,7,8,9} {1,4,5,6,7,8} {1,4,5,6,7,9} {1,4,5,6,8,9} {1,4,5,7,8,9} {1,4,6,7,8,9} {1,5,6,7,8,9} {2,3,4,5,6,7} {2,3,4,5,6,8} {2,3,4,5,6,9} {2,3,4,5,7,8} {2,3,4,5,7,9} {2,3,4,5,8,9} {2,3,4,6,7,8} {2,3,4,6,7,9} {2,3,4,6,8,9} {2,3,4,7,8,9} {2,3,5,6,7,8} {2,3,5,6,7,9} {2,3,5,6,8,9} {2,3,5,7,8,9} {2,3,6,7,8,9} {2,4,5,6,7,8} {2,4,5,6,7,9} {2,4,5,6,8,9} {2,4,5,7,8,9} {2,4,6,7,8,9} {2,5,6,7,8,9} {3,4,5,6,7,8} {3,4,5,6,7,9} {3,4,5,6,8,9} {3,4,5,7,8,9} {3,4,6,7,8,9} {3,5,6,7,8,9} {4,5,6,7,8,9}

k = 7
{1,2,3,4,5,6,7} {1,2,3,4,5,6,8} {1,2,3,4,5,6,9} {1,2,3,4,5,7,8} {1,2,3,4,5,7,9} {1,2,3,4,5,8,9} {1,2,3,4,6,7,8} {1,2,3,4,6,7,9} {1,2,3,4,6,8,9} {1,2,3,4,7,8,9} {1,2,3,5,6,7,8} {1,2,3,5,6,7,9} {1,2,3,5,6,8,9} {1,2,3,5,7,8,9} {1,2,3,6,7,8,9} {1,2,4,5,6,7,8} {1,2,4,5,6,7,9} {1,2,4,5,6,8,9} {1,2,4,5,7,8,9} {1,2,4,6,7,8,9} {1,2,5,6,7,8,9} {1,3,4,5,6,7,8} {1,3,4,5,6,7,9} {1,3,4,5,6,8,9} {1,3,4,5,7,8,9} {1,3,4,6,7,8,9} {1,3,5,6,7,8,9} {1,4,5,6,7,8,9} {2,3,4,5,6,7,8} {2,3,4,5,6,7,9} {2,3,4,5,6,8,9} {2,3,4,5,7,8,9} {2,3,4,6,7,8,9} {2,3,5,6,7,8,9} {2,4,5,6,7,8,9} {3,4,5,6,7,8,9}

k = 8
{1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,9} {1,2,3,4,5,6,8,9} {1,2,3,4,5,7,8,9} {1,2,3,4,6,7,8,9} {1,2,3,5,6,7,8,9} {1,2,4,5,6,7,8,9} {1,3,4,5,6,7,8,9} {2,3,4,5,6,7,8,9}

k = 9
{1,2,3,4,5,6,7,8,9}


There is much more we can go over but for the sake of brevity it will not be included in this article.  If you would like to discover more related topics, please look up the properties of the number 512, holography, the special case of 4 and 5 in the vedic square, harmonics, and constructive/destructive interference.  


End of article.
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20th August 2019

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