ISSUE No. 47

A warm welcome to our new subscribers.
Vedic Mathematics is becoming increasingly popular as more and more people are introduced to the beautifully unified and easy Vedic methods. The purpose of this Newsletter is to provide information about developments in education and research and books, articles, courses, talks etc., and also to bring together those working with Vedic Mathematics. If you are working with Vedic Mathematics - teaching it or doing research - please contact us and let us include you and some description of your work in the Newsletter. Perhaps you would like to submit an article for inclusion in a later issue or tell us about a course or talk you will be giving or have given.
If you are learning Vedic Maths, let us know how you are getting on and what you think of this system.

This issue's article follows on from the last one, in Newsletter 46, entitled "3-space mathematics, sciences and technologies". The author is Dr S. K. Cosmic Kapoor.


1. Vedic mathematics, sciences and technologies of 3-space, essentially are to chase the manifestations of solids and in particular the cubes, spheres and cones, prisms and pyramids with rectangular and polygon formats, and 'this specific shapes and forms features of manifestations of 3-space bodies' as such, as well may be designated as chase of CRYSTALS, DIAMONDS and GEMS, as Macro states.
2. Of these, the beginning shall be had with manifestation of CUBE.
3. The manifestation of cube as a set-up within geometric envelope stitched as of 8 corner points, 12 edges and 6 surfaces, in all, 26 geometric components is the first basic feature, which need be chased.
4. Each of the 8 corner points accepts the role of origin for a three-dimensional frame of half dimensions, and thereby, there is available, as many as 8 such frames, which together, shall be constituting a set of 4 three dimensional frames.
5. The coordination of 8 three dimensional frames of half dimensions as a set of 4 three dimensional frames of full dimensions is a feature which deserves to be chased with a focus as the cube as a representative regular body of 3-space shall be having only 3 dimensions and these three dimensions can supply at the most a set of six half dimensions, while the requirement of all the half dimensions for 8 corner points is of 8 x 3 =24 half dimensions.
6. The split for three dimensional frame, even as of three solid dimensions, shall be making available only a set of three pairs of three dimensional frames of half dimensions. It shall, as such be expecting one another pair of three-dimensional frames, and the same, in the circumstances may be hoped having been supplied by the 'space' itself. The supply of a pair of three-dimensional frames of half dimensions of solid order is to be there only from the transcendental worlds (5-space) of solid dimensional order.
7. The split of a three dimensional frame of solid dimensional order into a pair of such dimensional frames is to be there because of the availability of Creator's space at the origin.
8. It is this availability of the Creator's space at the origin which need be chased along its all the four spatial dimensions, and it is this chase within spatial dimensions shall be providing a format of a pair of orientations permitting inter change there of, because of which the split of a three dimensional frame into a pair of three dimensional frame shall also be permitting reversal as well as translation of them for their setting along the corner points of the cube.
9. It is this pairing of the corner points and simultaneously insertion of a pair of three dimensional frames of half dimensions obtained simultaneously with split of a three dimensional frame and also reversal translation from them to reach and to be established within so paired corner points of the cube, and thereby, making the set up of the cube ensured for its all the four pair of corner points as a real solid set up.
10. The above feature of stitching of the set up of a cube by pairing corner points and embedding three dimensional frames in all the 8 corner points further ensures the stitching for all the twelve edges of the cube as of di monad format with pair of parts of the edge of the cube to be supplied by two different three dimensional frames of corner points coordinated by the concerned edge.
11. This feature of pairing of 24 half dimensions into twelve edges, further in a sequence pairs twelve edges into six spatial frames and thereby is ensured the required six surface plates for the geometric envelope of the cube.
12. This sequential pairing in a pair of steps from 24 half dimensions to 12 edges to 6 surfaces, in that sequence and order or reverse thereof taking from six surfaces to 12 edges to 24 half dimensions to 8 three dimensional frame of half dimensions to 4 three dimensional frame of full dimensions are the sequential progressions which need be chased for replicating the Vedic mathematics, sciences and technologies.
13. For this exercise, another feature which need be taken account of is the exhaustive coverage for all the 8 corner points in terms of only 7 of the edges, to be designated as the manifested edges, while the remaining five edges to remain un manifested support.
14. This sequential progression for coordination of 8 corner points in terms of 7 edges, is to be of 3 fold orientations along the 3 dimensions springing out from each corner points. The chase along any of such orientations along any of the dimensions at its end reach at the 8th corner in that sequence and order, naturally would also provide reversal for such progression from first corner to 8th corner into 8th corner to 1st corner. This way, two fold progressions, for both of orientations for each edge would make the synthetic stitching of the geometric envelope along the edges to be of manifestation formats of the order of (-1) space playing the role of dimension for (+1) space, and as such the transition and transformation from macro states of edges to micro states of edges would be available. It is this availability and permissibility of transition and transformation from macro states to microstates for the edges would make '0-space' lively in the role of boundary fold for such manifestation. The 0-space in its role as of dimension fold for 2-space would inherently coordinate corner points as 0-space bodies with surfaces of the cube as 2-space bodies.
15. Such is the richness of the geometric envelope of the cube and replication of it, naturally, can be expected for supplying parallel richness for the mathematics, sciences and technologies of 3-space, provided the whole approach to the 3-space bodies is the way these avail their manifestation formats.
16. The simple progressions emerging from 2 corner points of an interval, 4 corner points of square and 8 corner points of cube, is just to sway away with it a forced symmetries by working up till half range intervals and covering second half parallel to it. The progression 2N, for its values N= 0, 1, 2, 3, 4 as manifestation layer (0, 1, 2, 3) is to be of the values 1, 2, 4 and 8. There is a jump over artifices '3' and '5, 6, 7'. This jump, would be a jump along third, fifth, sixth and seventh edges coordination of 8 corner points, and parallel to it would be a jump in respect of third, fifth, sixth and seventh geometries of 3-space.
17. The chase of seven edges coordination of a cube, would firstly reverse the orientations from that of first edge to that of third edge, and then further the circular orientation of first three edges would have reversal for it along the last three edges, namely, along fifth, sixth and seventh edges. It is this reversal of orientations firstly at third and secondly at fifth, sixth and seventh edges, which would go disguised for working only with half of interval. The forcing of symmetry by working with half interval is going to be at such heavy structural cost.
18. The seven geometries of 3-space, accept classification as 3 positive geometries, 3 negative geometries and one zero signature geometry. The neutrality of orientation for zero signature geometry is to cause slip with it being its own negative and there by there being four non positive and also four non negative geometries. The working with half interval, as such, in the context is bound to be at the cost of four out of seven geometries in all of three space.





"Bharatiya Sanskriti Samsad", a renowned and proactive Kolkata based cultural organization, has been traditionally inviting scholars, celebrities and authorities in various fields to conduct workshops, lectures for the last 50 years and has carved a niche for itself.
This lecture was given by Debmalya Banerjee, a renowned and popular faculty of the Academy. It spanned little more than an hour. He gave a detailed idea about what exactly is Vedic Mathematics and how it can be useful. He also briefed the audience vividly about WAVM, its key members, panel of faculties and the kind of activities the Academy is involved in. The audience were told about the kind of activities that are taking place globally, and the kind of books and the courses that are available.
The expert explained Nikhilam Methods of Calculation, multiplication by 11, Digital roots as well as Urdhava Method.
Incidentally Swamiji Bharati Krishna Tirthaji Maharaj, who reconstructed the Sutras of Vedic Mathematics, conducted a workshop on Vedic Mathematics at Samsad 50 years ago. With him was present renowned Indian scientist Late Prof. Satyen Bose. One of the participants at Swamiji's talk who is still alive spoke to the crowd about how he felt attending Swamiji`s lecture 50 years ago.
The lecture was attended by around 40 people. Some senior member of Samsad as well as some de-la crème of the city was also there. The event was covered and telecast by a TV News Bulletin.
World Academy and Samsad plans to conduct a full-fledged workshop on Vedic Mathematics in future as the same had been highly appreciated by the participants.


A workshop on Vedic Mathematics was arranged by RCC Institute of Information Technology (a frontline engineering college of Kolkata) in collaboration with World Academy for Vedic Mathematics under the aegis of Times Foundation on 25th July 2005.
The workshop was conducted by Debmalya Banerjee, the faculty member of the academy on the subject from Kolkata.
He briefed the audience vividly about WAVM, its key members, panel of faculties and the kind of activities they have done. The audience was told about the kind of activities that are taking place globally.
The expert explained Nikhilam Methods of Calculation, multiplication by 11, Digital roots, Rule of 9, 99, 999, Ekadhikena Purvena as well as Urdhava Method. The expert explained the nuances of the subject by carrying out calculations using Vedic Sutras and frequently comparing those calculations with the western system of Mathematics.
The workshop was attended by around 70 people and some senior faculty members of the institution.
A Certificate of Participation was awarded to all the candidates by the World Academy.
The college plans to conduct more workshops on Vedic Mathematics in future as the same had been highly appreciated by the participants.





From Dr A R S Menon, Managing Editor, Science India.
'Ramanuja Sarani' (Mathematical wing of Swadeshi Science Movement) is conducting a one year correspondence course in Vedic Mathematics.

[We will let you know when we have more information about this. In the meantime please note two Correspondence Courses are available at www.vedicmaths.org]


Using Vedic Maths or any other mathematic process, how many squares are there on a chessboard?
Any clues for investigating other boards, other shapes. E.g. a three dimensional chessboard?


I thought you would like to know that I entered two pupils aged 14 in the Young Scientist Exhibition last January. Their names are Andrew Linnie and Emmet Kiberd. They used flowcharts to show that Vedic maths can speed up simple operations such as multiplication through Vedic Maths methods. They wrote the flowcharts but did not know how to turn them into logic e-algorithms to test them. They won the second prize in the All Ireland competition.

In the mean time a lecturer from DIT taught them what they need to progress with this project. They are both bright lads and ambitious. I used them last summer at public lectures to teach adults Vedic maths. This went down very well. About 100 people attended their interactive workshops. They had three workshops and I supervised them from the side to keep them from getting into trouble.

I entered them to the Northern Ireland Young Scientists with the same project a few weeks ago. Again they came second with prizes. This time they were too young to get the first prize, which would have entitled them to go the U.S.A.

They are now preparing themselves for next January's Young Scientist in Dublin, having done work on third level maths to get them up to scratch.




I am supposed to write an article about Vedic maths for the German newspaper "Hamburger Abendblatt".
The problem is, that Germany seems to lack any experts on that topic. So I am now asking you, why does the western world never make use of the Vedic math system, when it is more efficient?

Your question is an excellent one.
The first answer is momentum: it's difficult for teachers etc to change to another system, even though they appreciate that it is better, because they have been teaching a certain way for many, many years and change is not easy. Pressure of work too makes it difficult to make all the changes needed to implement VM. Also a head of maths may be inspired to introduce VM into his school but then has to persuade his staff, headmaster etc of its superiority, and here again he may fail. I know these things happen as when people attend courses and talks they tell me that they want to introduce VM at their workplace, but then nothing comes of it.

The Vedic system appears to be based on a set of Sutras, or word-formulae. These were given by the man who reconstructed VM from the Vedic texts and no logical explanation for them has been given. All of mathematics is supposed to be based on these sixteen sutras, but to the western world they seem rather arbitrary and without basis. So this is another reason why VM has not really taken off in the west. May I suggest you take a look at my article on www.vedicmaths.org entitled "The Sutras of Vedic Mathematics" that expands on this point.

I am conducting classes for vedic maths in Ghatkopar area in Mumbai. I have basic course and advance course. Anybody interested in doing the course can contact me at :- 2514 1026 (o) or 20555376 (m). Or register at
We teach students in groups of six to seven. if you have a group, we give discounts.



Registered Address: Vishwa Punarnirman Sangh, Raval Bhawan, Near Telankhedi Garden, Nagpur-440 001, India.
Contacts in other Cities in India :
Delhi R.P. Jain, MLBD bookstore
91(011) 2385-2747 / 2385-4826 / 2385-8335 / 2385-1985.
Varanasi 91 (0542) 2352331
Kolkata MLBD bookstore 91 (033) 22824872
Mumbai MLBD bookstore 91 (022) 2351-6583 / 3092-2105
Nagpur Alka Sahani 91 (0712) 2531363 / 2550906 / 2545637
Pune MLBD bookstore 91 (020) 24486190
Dr. Bhavsar 91 (020) 25899509 / 21115901
Bangalore School of Ancient Wisdom - Devanahalli, 91 (080) 768-2181 / 7682182 / 558-6837
MLBD bookstore 91 (080) 6533729 / 6542591
Chennai 91 (044) 24982315


Your comments about this Newsletter are invited.
If you would like to send us details about your work or submit an article or details about a course/talk etc. for inclusion, please let us know on

Previous issues of this Newsletter can be copied from the Web Site: www.vedicmaths.org

To subscribe or unsubscribe to this Newsletter simply send an email to that
effect to
Please pass a copy of this Newsletter on (unedited) to anyone you think may be interested.
Editor: Kenneth Williams

Visit the Vedic Mathematics web site at

24th August 2005



English Chinese (Traditional) Dutch Finnish French German Hindi Korean Russian Ukrainian