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Tuesday, September 22, 2009

Ramanujan's magic square formula

Today I started to read the Ramanujan biography ( The e-book version, of course. ) The book looks promising. What was it like to communicate with someone gifted with such powerful mathematical insights? I am hoping ( a bit less after every failed try ) for a book that pulls me in that world of it's own. I have been there before on many occassions, while reading other books of course. Scientologists have a special word for it: exteriorizing.
At a very young age he designed the following formula for a 3 by 3 magic square:

C+Q | A+P | B+R
A+R | B+Q | C+P
B+P | C+R | A+Q

where A,B,C are integers in arithmetic progression and so are P,Q,R.

Try it, it works!

4 comments:

  1. dis is wonderful...dis is in real sense...a magic...by a legend...

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  2. Had the numbers not in A.P.,we can get sum of all the columns and rows to be same.By taking numbers in A.P.,he gave us a real magic square in which even the sum of diagonals is also same.It shows in how much depth great Ramanujan was into the subject.He is an inspiration.

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  3. Wow , really a great magical formula. I love to use this formula again and again.

    Thanks for posting great article.

    SUZZANE

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  4. superb formula, salute to our great mathematician,,
    proud to be an Indian

    ReplyDelete