Jain’s New Book on Rapid Calculation
Cambodia’s Ancient Shiva Temple Reconstructed
Jain demonstrates Jitterbug Geometry

This is an image of the human Merkaba, an energy field which is generated by our seven major chakras. I thank Sacred Geometry and Wikimedia Commons for this image.
Here is some digital animation uploaded to youtube by the Whitney Museum, showing Buckminster Fuller’s geometric explorations:
Learning Vedic math at 90!
I visited my mother for her 90th birthday last week, and I was surprised to find that she was delighted by my latest “acquisitions” – several new Vedic math tricks! About three years ago, I worked on some math with her, partly to see if she remembered her grade school training, and she did. In fact, using what she remembered from school in the 1930′s, she did just fine with the problems I gave her.
It’s all well and good to be able to recover ordinary modes of doing arithmetic, but both of my parents – both still going strong today – preserved a life-long feeling that they were not good at math. They made jokes about math, especially the so-called word problems, and they made up jokes about trying to figure out how many milk bottles fell off the back of a truck, if there were 18 milk bottles and the truck was going 50 miles per hour…etc. We got something of a clue to what had gone wrong when my father remembered having been embarrassed in front of the class with a math problem at age 11. His Ph.D. and 45 years of teaching did not eradicate the sense that he was not the type of person who does math well.
Specific emotional events like this are not the only issue. Something about ordinary methods of math instruction seem designed to create frustration. That’s why I was so pleased to find that my mother enjoyed Vedic math techniques. Although the short term memory is not always what it used to be, it was possible for her to find the methods as entertaining as watching a cartoon or a puppet do something unfathomable in record speed –only it was real, and it was us, not a cartoon or a puppet.
I started with the Vedic method of adding fractions which forms such a contrast with traditional math fractions. It seems to me that adding fractions was always troubling because I would look at the two disparate fractions and know that I had to derive a “least common denominator” — but putting a word in the place of a number-action is a lot like putting a closed door in the place of an open passageway. Once you have recovered from the feeling of having been rebuked by the numbers themselves — which had nothing to do with it, after all — you can go on to multiplying each part of each fraction by the same number to get the common denominator.
So I asked my mother to add the fractions in the old way, and though she didn’t do it in the time I allotted her, she did seem to remember the basic approach. Then I showed her the vedic method, and she laughed. I also wondered to myself: how come I never thought of just multiplying the denominators – and then cross-adding?
Then I showed her how to multiply two-digit numbers by 11, and she laughed again, saying she understood how fun this approach would be, and she wanted to do it herself, so I gave her the pencil. Although it took several examples till she remembered how to do it, she did finally recover the method herself. She was also immensely impressed by the circle of nines, the digit sum of numbers divisible by nine and the simple method of dividing long numbers by nine.
Now the question would be: could Vedic math help strengthen short-term memory?
Temple of instruments: 18th century astronomical observatory in Delhi
Science of hinduism
Barry Perlus’ site with spherical VR imaging
Article: Architecture in the service of science. Text and photos by Barry Perlus
What is a musical note?
In Chapter 8 of Book3 of The Cosmic Calculator by Kenneth Williams and Mark Gaskell (see below), you can find a clear explanation of musical notes. I have played several instruments since I was a child without having the vaguest idea what a note might be. It turns out that what we call the pitch of a note is defined by the number of vibrations per second of this note. If the ratio of the vibrations of 2 notes is in the small digits, the notes have a pleasing relationship to one another. If the frequency of the base note in the 8-note octave is 264 vibrations per second, and the frequency of the highest note is 528, then this is said to be a 1:2 ratio. But aren’t these the same note in the 8-note octave? I would also have thought that there would only be 8 notes in an octave, since “octo” means 8 in Latin. It turns out there are some surprises in store. Stay tuned for more…
Click here to purchase this books and others…
The magic square and childbirth
Rambling over the internet one day, I found a discussion of the appearance of the first magic squares in connection with the original Sudoku puzzles. The author wrote that magic squares had been used as charms for easing childbirth. I was very puzzled by this and wondered what magic squares had to do with childbirth. Luckily I came across an explanation of this seemingly strange association in the writings of Hassan Jaffer. His explanation is based on the research of his uncle into the ancient tomes of Jabir ibn Hayyan – a body of work known as the Jabirean Corpus. (See below for sources.)
The number 15 generated creative energy because of its function in the Magic Square and its association with Venus, the goddess of fertility. The Magic Square is developed from the ancient Chinese belief that Chi was filtered through the nine stars composed by Vega, Polaris and the Big Dipper, and to construct the magic square of 15 you start by writing 9 digits in rows. Opposites generate energy. So the Magic Square is the Feng Shui Bagua.
“It is difficult to pinpoint the exact time and place in which the original concept of Sudoku began, but it seems to be related to the appearance of the first “Magic Squares.” The Jabirean Corpus (a group of writings attributed to Jabir ibn Hayyan, also known in Europe as ‘Geber’), suggested Magic Squares as charms for easing childbirth. These squares consisted of nine cells with the numbers 1 to 9 arranged with 5 in the center so that the contents of each row, column and the two diagonals added up to 15. This particular square became known as the buduh square.” http://www.conceptispuzzles.com/index.aspx?uri=puzzle/sudoku/history
Here is Hassan’s account: “Modern history of the Magic Square begins with Jabir ibn Hayyan, who practised alchemy. It was the Magic Square of three. In ancient times, words, numbers and symbols were considered as potential powers. When they are placed as opposites, their union becomes dynamic and tangible energy is released. This is best known in the case of words which have given rise to Mantras. Numbers came next. Numerology arose in Babylon and Venus, the goddess of fertility was assigned number 15. But a mere series of numbers constitutes no tangible symbol.
Then a geometrical design as square of three was conceived in which there would be nine numbers which add up to 15 horizontally, vertically or diagonally. This served as the symbol of Venus.
Basically, the Magic square of three as a symbol of Venus, the goddess of fertility could be used as a charm or talisman to facilitate childbirth. Interestingly, Pythagoras believed that Numbers are the basic factors not only of the Universe but of all that the universe contains.
So here was the number 15, to be arranged in such a way that it generated creative energy which then could be used to facilitate childbirth as well as to transform a base metal into a noble metal or gold!”
From “Feng Shui and the Magic Square” by Hassan Jaffer at this location: http://www.hassanjaffer.com/articles/feng-shui-magic-square.html
Where to learn more about magic squares…
Jain is the worldwide expert on the Magic Square, and this image is on the cover of his DVD, The Atomic Art of Magic Squares: Translating Numbers into Art.
Contact Jain for the DVD: Email: jain@jainmathemagics.com
Jain writes: “The ancient Magic Square of 3 x 3 (also known as the ‘Lo-Shu’ in ancient China, C17th BC) is the centre of the Tibetan Calendar/Cosmology. It is a timeless mathematical harmonic whose sums of the columns, rows and diagonals all add up to and vibrate to 15. Symbolically this Magic Square creates Order amidst Chaos, and Equality in All Dimensions.
I believe also that this is the oldest mathematics on the planet that is visible or tangible, in contrast to the Vedic Stream of Knowledge that states all the Vedas were written on the rays of the Sun, but the knowledge is not actually written down visibly, thus the Chinese Magic Square is the source and the oldest record that we have.”
Jain Mathemagics. The Atomic Art of Magic Squares. Retrieved September 26, 2010 from http://www.jainmathemagics.com/page/1/default.asp
Magic square and the Bagua
The connection between the Magic Square of 15 and the Bagua has helped me to understand both. The Magic Square of 15 can be constructed by A) writing the 9 digits out left to right in threes; B) rotating the 8 digits one place clockwise around the 5; C) switching the odd numbers in place. Then you can look at the square and see that it represents a cross within a square, the cross representing Heaven and the 4 elements, and the square representing Earth and the 4 qualities.
Reference: Hassan Jaffer, Feng Shui and the Magic Square. Astrograph, Inc. Retrieved September 26, 2010 from http://www.hassanjaffer.com/articles/feng-shui-magic-square.html



