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[FAO] Magic Squares : Knowledge Stuff




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MAGIC SQUARES

Magic squares have fascinated humanity throughout the ages,and have been around for over 4,120 years. They are found in a number of cultures, including Egypt and India, engraved
on stone or metal and worn as talismans. The belief here being that magic squares had Astrological and Divinatory qualities, their usage ensuring age longevity and prevention or cures of human diseases.

[1] MAGIC SQUARE THREE by THREE TOTALING 15

A three by three (3x3) magic square totaling 15 horizontally, vertically or diagonally. The Chinese knew about this magic square
in 650 BC.


4

9

2

3

5

7

8

1

6

[2] MAGIC SQUARE THREE by THREE TOTALING 72

The Kubera-Kolam is a floor painting used in India which is
in the form of a magic square of order three. It is essentially
the same as the chinese Lo Shu Square, but with 19
added to each number, giving a magic constant of 72.

23

28

21

22

24

26

27

20

25

[3] MAGIC SQURE FOUR by FOUR TOTALLING 34

7

12

1

14

2

13

8

11

16

3

10

5

9

6

15

4

The 3x3 magic square was used as part of rituals in India from vedic times, and continues to be used to date.The Ganesh yantra is a 3x3 magic square. A well known early 4x4 magic square in India can be seen in Khajuraho in the Parshvanath Jain temple. It dates from the 10th century. Based on this it spread to Europe.

[4] MAGIC SQUARE TWELVE by TWELVE TOTALING 870

And it can go on developing and here is something really big a
12 columns x 12 rows magic square:

Order 12, sum 870

1

120

121

48

85

72

73

60

97

24

25

144

142

27

22

99

58

75

70

87

46

123

118

3

11

110

131

38

95

62

83

50

107

14

35

134

136

33

16

105

52

81

64

93

40

129

112

9

8

113

128

41

92

65

80

53

104

17

32

137

138

31

18

103

54

79

66

91

42

127

114

7

5

116

125

44

89

68

77

56

101

20

29

140

139

30

19

102

55

78

67

90

43

126

115

6

12

109

132

37

96

61

84

49

108

13

36

133

135

34

15

106

51

82

63

94

39

130

111

10

2

119

122

47

86

71

74

59

98

23

26

143

141

28

21

100

57

76

69

88

45

124

117

4


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