Thursday, 24 August 2017

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)

What is so special about Srinivasa Ramanujan's Magic Square?

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)


You may be familiar with magic squares. Srinivasa Ramanujan also designed his own magic square.

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)


This magic square looks similar to any other square. What is so special about it?


Sum of any rows is 139

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)




Sum of numbers of any column is also 139. Does it make a special square?

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)


Sum of any diagonal numbers is 139.

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)


But this is pretty common in other magic squares! Wait...

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)


Sum of corner numbers is also 139.

Sounds interesting!

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)


Sum of same coloured boxes is also 139.  Really!

Look at other possible combinations like sum of identical colour boxes is 139.

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)


Wow!


Sum the central squares... 139 Simply Great!


You may try other combinations... isn't it superb?

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)




Do you know the relation between the square's first row and Ramanujam?



It is 22.12.1887 - Ramanujam's Birth Date (December 22, 1887)


By the way 139 is a prime number.

There is a movie with a title 'The Man who knew Infinity', showing life experiences about him. There is a good book with the same title 'The Man Who Knew Infinity: A life of Genius Ramanujam' by Robert Kanigel (Available at Amazon also).

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