(8) Chautisa Yantra : The Mytho-math Spice!
Pankaj Khanna
9424810575
Previous/Next Blog Posts:
(1) Beauty Squarely Introduction & Kuber Yantra
(2) Murphy Radio!? अले वाह!! My first Experience of Magic Square.
(3) Decoding the Quadratum Mirabile! How to solve 3x3 Magic Squares.
(4) Lo Shu Square History of Chinese Magic Square.
(5) The Unhurried Odyssey of a Turtle!! History of Magic Squares in short.
Brief Introduction.
(7) Khajuraho Magic: Introduction.
(8) Chautisa Yantra: Mytho-math Spice.
A video of a schoolboy making a Magic Square in barely ten seconds has been going viral for a while. Since then my family, friends, and even my former students have formed a teasing committee of their own.
They keep taunting me with great enthusiasm: "Arre, you can’t even unlock your phone in ten seconds, and this kid finishes a Magic Square before you’ve even found your spectacles! Stop blogging about Magic Squares, you old magician-without-magic. Better revert to Tawa Sangeet, Rail Sangeet and Cycle Sangeet!"
This has been a sort of huge 'existential crisis' in the last few days! Saw the video umpteen times to decipher the code. It just refused to budge. Started thinking whatever they are saying is perhaps correct!
If you have not seen the video earlier have a look from this link. So now you know the genesis of this 'existential crisis!
Probably you have gone through the previous article on Khajuraho Magic and you know about the 'Chautisa Yantra' very well. People of my age recite Hanuman Chalisa in despair and here I was looking at Chautisa Yantra hoping for some miracle to salvage some respect in the eyes of my dear and near ones! Three days passed, even the famed unhurrird turtle must have covered some distance in China during this period but nothing moved at this end!
However today, at last, I suddenly realised that the boy in the video had used 12 two digit numbers and 4 three digit numbers in the 16 cell 4x4 magic square.This clue was enough to solve the mystery! Finally I have understood the method used by the wonder boy in the dramatic video! And the lovable Teasing Committee, please go and find some other reason to corner me!!
Any magic square needs five variables to solve. ( More about the Maths part in due course after completion of History of Magic Squares.) In this video the magic sum (257) is given. So finally only four variables are left! The idea is very simple: Fill first 12 numbers, by memory, from any known magic square and then calculate only the last four numbers!
I am not sure what method was used in the video but in the process number 7 is repeated. Clearly the mistake is of the mentor and not of the boy.
The Magic Square can be completed by many methods, without repetition of numbers.
To show the magic as the boy did in the above video, all you have to do is remember a 4x4 magic Square. Any Magic Square: your birthdate magic square, Khajuraho Square, Dürer Square, Ramanujan Square or any Magic square of your choice.
Let us start with our own spicy mytho-math Chautisa Yantra i.e. Khajuraho magic square. It is not very difficult to remeber the numbers of this square.
This Khajuraho Magic square is very easy to remember. Just remember number 9, and go writing it's multiples as illustrated below in three steps:
First Step: First of all write these eight numbers from Chautisa yantra in four pairs. This way it will be easier to remember: 18, 36, 54, and 72. They are multiples of 18 and 9 too.
Second Step:
Now write next four consective numbers starting from 9 to 12 as written below.
Third Step:
Only four blank squares are left. Compare these blank squares with Chautisa Yantra numbers and complete the Square as below:
Let us go to the above video of the wonder boy. The given magic sum was 257. We have to only find value of A and the Magic Square will be filled!
7+12+1+A= 257
Hence A=237.
Now let us complete the desired magic square as below:
Now you can verify that all the numbers are distinct. Sum of all rows, columns, diagonals and four corner numbers is 257. Besides, sum of numbers of seven smaller 2x2 squares ( out of nine) is also 257.
The purpose of this blog post is only to let it be known that there is neither magic nor maths involved in the overly dramatic video which has gone viral. It is only a smart trick that any child can master. You too can do it in around 10 seconds if you practise it for a day or two.
This is not necessary to use Chautisa Yantra only to complete the magic square. There are many more options available apart from a few listed above.
We will see more such 'Magic' in the coming blog posts. Keep reading:)
Pankaj Khanna
9424810575
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मेरे कुछ अन्य ब्लॉग:
हिन्दी में:
तवा संगीत : ग्रामोफोन का संगीत और कुछ किस्सागोई।
रेल संगीत: रेल और रेल पर बने हिंदी गानों के बारे में।
साइकल संगीत: साइकल पर आधारित हिंदी गाने।
कुछ भी: विभिन्न विषयों पर लेख।
तवा भाजी: वन्य भाजियों को बनाने की विधियां!
मालवा का ठिलवा बैंड: पिंचिस का आर्केस्टा!
ईक्षक इंदौरी: इंदौर के पर्यटक स्थल। (लेखन जारी है।)
अंग्रेजी में:
Love Thy Numbers : गणित में रुचि रखने वालों के लिए।
Epeolatry: अंग्रेजी भाषा में रुचि रखने वालों के लिए।
CAT-a-LOG: CAT-IIM कोचिंग।छात्र और पालक सभी पढ़ें।
Corruption in Oil Companies: HPCL के बारे में जहां 1984 से 2007 तक काम किया।
