Sudoku method (2)

 

Construct a most perfect magic 12x12 square by using a grid with 3x3 the same 4x4 Sudoku and a fixed grid:

 

 

Take 1x digit from first grid + 1

2

1

3

0

2

1

3

0

2

1

3

0

3

0

2

1

3

0

2

1

3

0

2

1

0

3

1

2

0

3

1

2

0

3

1

2

1

2

0

3

1

2

0

3

1

2

0

3

2

1

3

0

2

1

3

0

2

1

3

0

3

0

2

1

3

0

2

1

3

0

2

1

0

3

1

2

0

3

1

2

0

3

1

2

1

2

0

3

1

2

0

3

1

2

0

3

2

1

3

0

2

1

3

0

2

1

3

0

3

0

2

1

3

0

2

1

3

0

2

1

0

3

1

2

0

3

1

2

0

3

1

2

1

2

0

3

1

2

0

3

1

2

0

3

 

 

+4x digit from second grid

35

5

30

0

34

4

31

1

33

3

32

2

0

30

5

35

1

31

4

34

2

32

3

33

5

35

0

30

4

34

1

31

3

33

2

32

30

0

35

5

31

1

34

4

32

2

33

3

29

11

24

6

28

10

25

7

27

9

26

8

6

24

11

29

7

25

10

28

8

26

9

27

11

29

6

24

10

28

7

25

9

27

8

26

24

6

29

11

25

7

28

10

26

8

27

9

23

17

18

12

22

16

19

13

21

15

20

14

12

18

17

23

13

19

16

22

14

20

15

21

17

23

12

18

16

22

13

19

15

21

14

20

18

12

23

17

19

13

22

16

20

14

21

15

 

 

 = Most perfect (Franklin pan)magic 12x12 square

143

22

124

1

139

18

128

5

135

14

132

9

4

121

23

142

8

125

19

138

12

129

15

134

21

144

2

123

17

140

6

127

13

136

10

131

122

3

141

24

126

7

137

20

130

11

133

16

119

46

100

25

115

42

104

29

111

38

108

33

28

97

47

118

32

101

43

114

36

105

39

110

45

120

26

99

41

116

30

103

37

112

34

107

98

27

117

48

102

31

113

44

106

35

109

40

95

70

76

49

91

66

80

53

87

62

84

57

52

73

71

94

56

77

67

90

60

81

63

86

69

96

50

75

65

92

54

79

61

88

58

83

74

51

93

72

78

55

89

68

82

59

85

64

 

 

This magic 12x12 square is panmagic, 2x2 compact and each 1/3 row/column/diagonal gives 1/3 of the magic sum.

 

Use this method to construct magic squares which are a multiple of 4 from 8x8 (= 8x8, 12x12, 16x16, 20x20, ... magic square).

 

 

Download
12x12, Sudoku method (2).xls
Microsoft Excel werkblad 186.0 KB