Basic key method ( most perfect)

 

The key to construct a 12x12 magic square is:

 

 

1-2      3-4      5-6

      1-2      3-4      5-6

 

 

Construct the first grid by finishing and copying the key. The second grid is a reflection (= rotated by a quarter to the left) of the first grid.

 

 

1x number from first grid     +  12x [number -/- 1]                       =  most perfect 12x12 magic square

1

2

12

11

3

4

10

9

5

6

8

7

   

7

6

7

6

7

6

7

6

7

6

7

6

   

73

62

84

71

75

64

82

69

77

66

80

67

12

11

1

2

10

9

3

4

8

7

5

6

   

8

5

8

5

8

5

8

5

8

5

8

5

   

96

59

85

50

94

57

87

52

92

55

89

54

1

2

12

11

3

4

10

9

5

6

8

7

   

6

7

6

7

6

7

6

7

6

7

6

7

   

61

74

72

83

63

76

70

81

65

78

68

79

12

11

1

2

10

9

3

4

8

7

5

6

   

5

8

5

8

5

8

5

8

5

8

5

8

   

60

95

49

86

58

93

51

88

56

91

53

90

1

2

12

11

3

4

10

9

5

6

8

7

   

9

4

9

4

9

4

9

4

9

4

9

4

   

97

38

108

47

99

40

106

45

101

42

104

43

12

11

1

2

10

9

3

4

8

7

5

6

   

10

3

10

3

10

3

10

3

10

3

10

3

   

120

35

109

26

118

33

111

28

116

31

113

30

1

2

12

11

3

4

10

9

5

6

8

7

   

4

9

4

9

4

9

4

9

4

9

4

9

   

37

98

48

107

39

100

46

105

41

102

44

103

12

11

1

2

10

9

3

4

8

7

5

6

   

3

10

3

10

3

10

3

10

3

10

3

10

   

36

119

25

110

34

117

27

112

32

115

29

114

1

2

12

11

3

4

10

9

5

6

8

7

   

11

2

11

2

11

2

11

2

11

2

11

2

   

121

14

132

23

123

16

130

21

125

18

128

19

12

11

1

2

10

9

3

4

8

7

5

6

   

12

1

12

1

12

1

12

1

12

1

12

1

   

144

11

133

2

142

9

135

4

140

7

137

6

1

2

12

11

3

4

10

9

5

6

8

7

   

2

11

2

11

2

11

2

11

2

11

2

11

   

13

122

24

131

15

124

22

129

17

126

20

127

12

11

1

2

10

9

3

4

8

7

5

6

   

1

12

1

12

1

12

1

12

1

12

1

12

   

12

143

1

134

10

141

3

136

8

139

5

138

 

 

Use this method to construct most perfect magic squares of order is multiple of 4 from 4x4 to infinity. See 4x48x812x1216x1620x2024x2428x2832x32

 

Download
12x12, Basic key method (2).xls
Microsoft Excel werkblad 194.5 KB