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.

 

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2 Comments
  • SURESH JAIN
    Posted at 20:47h, 21 August

    I HAVE NEW AND INVENTIONAL ON MAGIC SQUARES WHICH PEOPLE WHO CAN UNDERSTAND CAN ONLY UNDERSTAND.I AM IN TRADE AND SO NOT IN EDUCATION. I CAN NOT WORK ON COMPUTER.YET MY ACHIEVEMENTS ARE NOT GENERAL