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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...

    ReplyDelete
  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.

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

    Thanks for posting great article.

    SUZZANE

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

    ReplyDelete

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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)