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Ramanujan's Magic Square! What's Special in it?

Updated: Apr 14, 2020

Very few in a century, the minds which rule the hearts, the personalities which change the world, are born. From the beginning of life human brain has developed tonnes of ideas, rules and postulates which gave a complete new way of thinking and seeing the world. Playing with numbers is one of some most wonderful ideas.

Ramanujan's Magic Squares have surprised the world in far simple and beautiful way. In a magic square of Ramanujan, the numbers are arranged in such way that some conditional results are always same for different set of numbers in the square. Take a look at the figure below:

Seems a normal number arrangement? If yes, you must look closer. Ahaa! not optically closer, but bit more closer by mind. Yea you may be getting it now! Let's see this in a different way.

Add the numbers in any row, you'll get the same value.

Okay... It was not so special. It might me in other many squares easily. Let's add the numbers in any column now.

Still seems not far surprising? let's try some different possibilities.

The Sum of Numbers in each diagonal is again 139.

The Sum of numbers in corners is also 139.

Take a small break, but still the mathematical magic of the magic square doesn't discontinue. Add the numbers in any corner square. whoa! it's still 139.

once more.

The possibilities given below also give the same result.

Even if we add the numbers present in the faces as shown in the arrangement bellow, the sum of identical colored numbers will be exactly 139 again.

Feeling wonderful? yea! it's magic of mathematics. and the mathematicians like Ramanujan never failed to make us feel "wow". The magic square of Ramanujan can be written with many different sets of numbers.

Srinivasa Ramanujan was an Indian Mathematician, born on 22 December 1887. He is widely known for his contributions in mathematical history. His achievements in the mathematics fields are Ramanujan Conjecture, Ramanujan Prime, Ramanujan-Sato series, Ramanujan's master theorem, Mock theta functions, etc. Indian Govt. released a stamp in honour of him in 2011. "The man who knew infinity" is a movie based on his life.

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