Magic Square

Ramanujan Magic Square

Manjil Saikia

Apr 12, 2012 • 3 min read

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	0	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	0	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	0	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.

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