Posts tagged Mathematics
After I discovered OneEye, I realised that the block of numbers I used in the graph was already known by an Indian Mathematical system known as “Vedic Mathematics”. The block of repeating numbers is also known as the “Vedic Square”. This made me wonder about the actual system and whether anyone else may have stumbled upon this graph before me? Alas, to no avail! No-one knew of this graph after searching for a few years on-line and via libraries.
I eventually made contact with a very well known and respected teacher in the field of Vedic Maths (Mr. Kenneth Williams). To my delight, he responded in a very positive way and thought my find was “at the edge of something big”… but what? Well… only time will tell, because none of us know the answer to that yet! Nevertheless, I wanted to devote a section purely on Vedic Maths so I thought I would let these established sites explain to you all; the benefits Vedic Maths could have on your mental capacity, and how you can calculate massive numbers in a matter of seconds… AND MENTALLY TOO! Read on…
Introduction To Vedic Maths
Vedic Mathematics is the name given to the ancient system of Indian Mathematics which was rediscovered from the Vedas between 1911 and 1918 by Sri Bharati Krsna Tirthaji (1884-1960). According to his research all of mathematics is based on sixteen Sutras, or word-formulae. For example, ‘Vertically and Crosswise` is one of these Sutras. These formulae describe the way the mind naturally works and are therefore a great help in directing the student to the appropriate method of solution.
Perhaps the most striking feature of the Vedic system is its coherence. Instead of a hotch-potch of unrelated techniques the whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions and the simple squaring method can be reversed to give one-line square roots. And these are all easily understood. This unifying quality is very satisfying, it makes mathematics easy and enjoyable and encourages innovation.
In the Vedic system ‘difficult’ problems or huge sums can often be solved immediately by the Vedic method. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the modern ‘system’. Vedic Mathematics manifests the coherent and unified structure of mathematics and the methods are complementary, direct and easy.
The simplicity of Vedic Mathematics means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system. Pupils can invent their own methods, they are not limited to the one ‘correct’ method. This leads to more creative, interested and intelligent pupils.
Interest in the Vedic system is growing in education where mathematics teachers are looking for something better and finding the Vedic system is the answer. Research is being carried out in many areas including the effects of learning Vedic Maths on children; developing new, powerful but easy applications of the Vedic Sutras in geometry, calculus, computing etc.
But the real beauty and effectiveness of Vedic Mathematics cannot be fully appreciated without actually practising the system. One can then see that it is perhaps the most refined and efficient mathematical system possible.
Reference: Courtesy of VedicMaths.org
What is High Speed Vedic Maths?
High Speed Vedic Mathematics is a super fast way of calculation whereby you can do supposedly complex calculations like 998 x 997 in less than five seconds flat. It is highly beneficial for school and college students and students who are appearing for their entrance examinations.
High Speed Vedic Mathematics is far more systematic, simplified and unified than the conventional system. It is a mental tool for calculation that encourages the development and use of intuition and innovation, while giving the student a lot of flexibility, fun and satisfaction . For your child, it means giving them a competitive edge, a way to optimize their performance and gives them an edge in mathematics and logic that will help them to shine in the classroom and beyond.
Therefore it’s direct and easy to implement in schools – a reason behind its enormous popularity among academicians and students. It complements the Mathematics curriculum conventionally taught in schools by acting as a powerful checking tool and goes to save precious time in examinations.
There are just 16 Jaw-Dropping Sutras or Word Formulae which solve all known mathematical problems in the branches of Arithmetic, Algebra, Geometry and Calculus. They are easy to understand, easy to apply and easy to remember.
High Speed Vedic Mathematics was founded by Swami Sri Bharati Krishna Tirthaji Maharaja who was the Sankaracharya (Monk of the Highest Order) of Govardhan Matha in Puri. They are called “Vedic” as because the sutras are said to be contained in the Atharva Veda – a branch of mathematics and engineering in the Ancient Indian Scriptures.
Benefits of High Speed Vedic Mathematics.
High Speed Vedic Mathematics is more than 10-15 times or over 1500% times faster than the normal mathematics. How do we say this? You can test it yourself. We tested a normal student to calculate 998 x 997; he took the time of 85 seconds and did it correctly in the normal way. And then when we taught him the Vedic Method of Multiplication the same person could do it in about 5 seconds. Not only did this person suddenly become more confident , bubbling with energy and high self esteem . He wanted to solve more problems which showed a remarkable increase in his interest in the subject.
- High Speed Vedic Mathematics is 10-15 times faster than normal Maths.
- Better and Much Improved Academic Performance in school and Instant Results.
- Sharpens your mind, increases mental agility and intelligence.
- A Complete System comprising all the benefits of Mental Maths .
- Develops Left & Right Sides of the brains by increasing visualization and concentration abilities.
- Vedic Mathematics cultivates an interest for numbers and eliminates the math-phobia present in the students.
- Vedic Maths is easy to understand, easy to apply and easy to remember.
- Increases your speed and accuracy . Become a Mental Calculator yourself.
- Improves memory and boosts self confidence.
Reference: Courtesy of VedicMathsIndia.org
Vedic Maths Tutorials
Here are some awesome tutorials to help you speed up your mind and mental calculation abilities. There are some easy to follow lessons with self-testing quizes to see your progress. Try it out and see just how much you can impress yourself, your friends, peers and teachers. These tutorials do not attempt to teach the systematic use of the sutras.
The tutorials are courtesy of VedicMaths.org.
My Article On VedicMaths.org’s Newsletter
I was delighted to be asked to write an article about my discovery of OneEye by Mr. Kenneth Williams from the VedicMaths.org website, and to be published in their newsletter (66th issue). Ken is a renowned author and teacher of Vedic Mathematics, with many years of knowledge and experience. He actively promotes knowledge about Vedic Mathematics and has developed a range of material for teaching/learning Vedic Mathematics, which are available through their web site.
Once again, my thanks goes out to Mr. Williams for all his help on the subject of Vedic Maths and for allowing me to be mentioned in their newsletter. I hope you all enjoy it and find it opens your mind to a different way of thinking, or a simpler way in the end?
I discovered the graph of OneEye around early Nov-2004 after my close friend (Fred Rouda) asked me a freak question about the number 9. He asked, “Do you know anything about the number 9?” knowing I love things like this. I answered, “no, except it’s an upside down six.” He then said, “There’s something weird about it. Did you know, when you multiply 9 with ANY number, the resulting digits ALWAYS add up to 9?” I answered with a simple…“wow”. So I tested it!
Let’s see… 9×4=36, which =9 (when you add 3+6). Again 9×42=378… now 3+7+8=18…and 1+8=9!!! See? Trust me I did an excel calculation and found it does this till infinity (not that I could!). All multiples of 9 always add up to 9 when the resulting digits are reduced to their single-digit-sum. This concept is also known as the “Rule of Nines” and also “Modulo 9“.
How did the graph appear?
Well, being the insatiably inquisitive me… I hopped on my computer and thought I’d see what happens with all the basic numbers in our times tables, as this ‘9 theory’ really boggled my mind a little and invigorated it as well. I looked at all the numbers in our times-tables and noticed that after I added all the digits for each number, a repetitive pattern appeared. I found that the resulting numbers keep repeating itself infinitely, after every 9th column/row.
Here is the repeating 9×9 block of numbers in our times tables (after reducing each number to a single digit):
I later found that this is also know as the “Vedic Square” in Indian Mathematics. Now this is where I thought, I’d graph this section to see what comes up? Scatter graph… nothing. Line Graph… nothing. Bar graphs, Pie graphs, all showed nothing but straight lines and circles. Then…. I tried the WireFrameContouring graph and… voila! Out popped this eye! My jaw dropped and I ended up staring at it for a good hour or two, wondering what the *#*% it was?
It was soon after this little discovery that a lot of weird things started to happen to me. I started experiencing an increased level of awareness and knowledge. Eventually I realized this was my own spiritual journey and it was the weirdest 😯 year following after this but I won’t go into it now (it’s in the next post: What Followed After My Discovery). Remember that it all started with one question about one number… the number 9!
How To Bring Out “OneEye” From Our Times Tables
To do this yourself, all you need is a Microsoft Office Excel program (or more advanced contour graphing tools). Here is a step-by-step instruction on how you can do this too:
- Start a new page from your program and save it first under whatever name you want.
- Write down the numbers from the times-table starting from 1x’s to 9x’s into each cell. It should look something like this so far:
Times Table 1 2 3 4 5 6 7 8 9 x.1 1 2 3 4 5 6 7 8 9 x.2 2 4 6 8 10 12 14 16 18 x.3 3 6 9 12 15 18 21 24 27 x.4 4 8 12 16 20 24 28 32 36 x.5 5 10 15 20 25 30 35 40 45 x.6 6 12 18 24 30 36 42 48 54 x.7 7 14 21 28 35 42 49 56 63 x.8 8 16 24 32 40 48 56 64 72 x.9 9 18 27 36 45 54 63 72 81
(Note that I don’t go beyond the 9x’s table because the numbers after x9 repeat infinitely, so for example, all 10x’s results in the same sequence as the 1x’s and 11x’s = 2x’s etc, so you get it repeating over and over once you reduce each number to its “single-digit-root/sum”. Therefore, we will only use the 9×9 square – this will become evident to you further on).
- Now reduce each number above to single digit numbers by adding each. That is; if we look at 42, it adds to 6 as a single-digit-sum. Take 48 as well as an example and we get 12 in this case, so we further reduce 12, to 3 in the end. Now do this for each cell and you should get the Vedic Square as shown previously.
- Once you have this, you should surround the square with all 9’s like this (as it naturally should be);
- This is now your area to graph. Highlight this block (on your excel page) by holding your mouse over the first number (top left) and click-hold all the way through to the last number in the block (bottom right).
- Now go to the graphing tool bar in the “Insert” menu where you should see the “charts” charting tools bar (for MS Office 2007), otherwise it should be visible on the top bar in older versions.
- Go to the “Surface” graphing area and select the “Wireframe Contour” graph (NOT the 3D one!) … and click on it.
- To get the graph to show up quickly, just click “next” to anything asked and that should lead you to the final resulting graph. You can remove the info around the axis’ later.
- Congratulations! 😀 You should now see a graph of an eye (“OneEye”) exactly like this:
If you want an excel sheet showing how this is done just send me a request via my contact form, or email to: info(at)eyephi.com. Enjoy!
This is the OneEye Gallery where all the graphs, images and artwork of OneEye can be found. It contains work from others as well. If you have your own piece of work, then please, we would love to see it. In fact, there’s allot of people asking me for outlined/shaded images seen by others recently and they would love to see it put into the OneEye template. This would be wonderful as my level of drawing is not quite up to scratch :roll:, but I’m willing to learn!
There’s also another section in an EyePhi Forum, where others can post their own versions of OneEye.
I will continue to update this section (and this site) as time goes on. Any other additions would be highly appreciated!
Here’s OneEye with the grid erased and straightened 45 degrees.