12 Apr Ramanujan Magic Square

In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A normal magic square contains the integers from 1 to n2. The term "magic square" is also sometimes used to refer to any of various types of word square. Below we present to you an unique magic square contributed by Mr. T. R. Jothilingam and his sons. He is a Station Master in Southern Railways, in Kudal Nagar, Madurai, in South India. He graduated in Maths in 1974. He also maintains the website Jolly Maths, which has many such interesting things.

 Ramanujuan Biography Magic Square --- A trial version. G,Total 139 G.Total 364 G.Total 499 G.Total 640 139 225 135 141 Ram Passed Joins Studied to primary in Town Loney's Ramanujan Born primary In first High Part II Janaki Grand school class School Trigonometry Born Total 22 12 18 87 18 92 18 97 18 98 19 21 3 18 99 640 66 50 19 4 79 67 36 43 52 10 64 9 65 50 20 6 640 41 23 47 28 78 42 80 25 14 20 41 60 45 12 59 25 640 10 54 55 20 50 24 91 60 51 7 11 66 10 76 44 11 640 18 92 18 97 50 25 35 29 18 98 19 21 3 18 99 640 80 119 2 24 20 60 27 32 28 27 60 20 60 50 20 11 640 91 4 100 30 25 7 72 35 22 8 40 65 55 17 54 15 640 36 10 105 74 44 47 5 43 67 2 16 50 5 71 49 16 640 30 22 23 60 18 98 19 30 60 70 69 21 3 18 99 640 22 35 65 13 42 10 53 30 60 40 54 75 67 58 10 6 640 21 70 24 20 13 20 52 50 65 44 50 70 44 23 50 24 640 62 8 23 42 62 7 11 55 74 85 55 15 9 57 63 12 640 20 39 22 60 21 3 18 99 21 3 18 99 30 50 60 77 640 25 16 70 30 52 56 25 8 60 50 15 16 45 40 72 60 640 37 40 29 35 61 10 50 20 43 10 66 22 75 33 50 59 640 59 46 20 16 7 72 48 14 17 78 42 4 67 94 35 21 640 640 640 640 640 640 640 640 640 640 640 640 640 640 640 640 640 10240

RAMANUJAN BIOGRAPHY MAGIC SQUARE

Legend of the Ramanujan Biography Magic Square

From Top left towards right the important dates in the life of Ramanujan was taken in double digits representing either the date of the Month or month or the first or second part of the year.Thus his date of birth 22-12-1887 is taken in four separate squares as 22121887.

We have formed TWO SEPARATE 100 X 100 Ramanujan Biography Magic squares with all the important dates, years in the life of Mr. Ramanujan from his birth to till his demise and afterwards also. All the 100 squares of two digits will have a total 2183 and 2179.

From Top left towards right onwards or from top to bottom onwards the magic squares will be of orders 4 x 4 , 8 x 8, 12 x 12, 16 x 16, 20 x 20, and then in increased orders of 25 x25, 30 x 30, 36 x 36, 42 x 42, 49 x 49, 56 x 56,64 x 64, 72 x 72,81 x 81, 90 x 90, and finally 100 x 100

Thus the total 100 x 100 Magic square will contain the following small individual magic squares of sizes noted against as below:

4 x 4 Magic squares 25 25 ( 4 x 4 ) = 400 squares

5 x 5 Magic squares 20 20 ( 5 x 5 ) = 500 squares

6 x 6 Magic squares 24 24 ( 6 x 6 ) = 864 squares

7 x 7 Magic squares 28 28 ( 7 x 7 ) = 1372 squares

8 x 8 Magic squares 32 32 ( 8 x 8 ) = 2048 squares

9 x 9 Magic squares 36 36 ( 9 x 9 ) = 2916 squares

10 x 10 Magic squares 19 19 (10 x 10 ) = 1900 squares

------ ---------------- -------------------

Total 184 (Different sized squares) 10,000 Squares

------ --------------------

WE DEFINITELY HOPE IT IS A UNIQUE IDEA AND WE THANK THE ALMIGHTY FOR GIVING US THE IDEA AND FOR HIS KINDNESS TO COMPLETE IT SUCCESSFULLY.

Concept,Design and Developedby

T.R. Jothilingam, B.Sc., Station Master, KUDAL NAGAR, S.Rly., Madurai,Tamil Nadu, INDIA. Cell : +91 09442810486

T. J. Ramnath Babu, Indian Institute of Science, Bangalore, India.

T. J. Raghunath Babu, Indian Institute of Management, Ahmedabad, India.

The following two tabs change content below.

Gonit Sora

READ:   Book Review: Birth of a Theorem by Cedric Villani
,