Specials

Magic star and magic circle

 

Why square? See below magic stars and a magic circle.

 

The ‘normal’ magic star is a magic hexagram.

 

 

Magic hexagram, schematic

 

                               A

 

B                   C                   D                  E

 

           F                                         G

 

H                    I                     J                 K

 

                                  L

 

 

Magic hexagram, solution nr. 2

 

 

 

Source:  John R. Hendricks, Magic Hexagrans, 1 november 1993

 

 

In total there are 80 different magic hexagrams; see table.

 

Nr.

A

B

C

D

E

F

G

H

I

J

K

L

Som

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

1

2

4

12

8

10

6

11

5

3

7

9

26

2

1

2

6

10

8

12

4

7

3

5

11

9

26

3

1

2

7

11

6

8

5

10

4

3

9

12

26

4

1

2

7

12

5

10

4

8

3

6

9

11

26

5

1

2

8

9

7

11

4

6

3

5

12

10

26

6

1

2

8

10

6

12

4

5

3

7

11

9

26

7

1

2

9

8

7

10

12

6

11

4

5

3

26

8

1

2

9

12

3

6

8

10

7

4

5

11

26

9

1

2

10

5

9

11

8

4

7

3

12

6

26

10

1

2

10

9

5

7

12

8

11

3

4

6

26

11

1

2

10

11

3

8

5

7

4

6

9

12

26

12

1

2

12

5

7

10

9

3

8

4

11

6

26

13

1

2

12

8

4

10

6

3

5

7

11

9

26

14

1

2

12

9

3

6

11

7

10

4

5

8

26

15

1

3

4

8

11

12

7

9

5

2

10

6

26

16

1

3

5

11

7

12

4

8

2

6

10

9

26

17

1

3

6

12

5

11

4

8

2

7

9

10

26

18

1

3

7

11

5

6

10

12

8

2

4

9

26

19

1

3

7

11

5

12

4

6

2

8

10

9

26

20

1

3

7

12

4

8

11

10

9

5

2

6

26

21

1

3

8

9

6

10

4

7

2

5

12

11

26

22

1

3

9

6

8

11

12

5

10

4

7

2

26

23

1

3

11

8

4

12

7

2

5

9

10

6

26

24

1

3

12

4

7

8

11

5

9

2

10

6

26

25

1

3

12

6

5

11

10

2

8

7

9

4

26

26

1

4

5

6

11

12

10

8

7

2

9

3

26

27

1

4

5

7

10

11

6

9

3

2

12

8

26

28

1

4

5

10

7

8

6

12

3

2

9

11

26

29

1

4

7

5

10

12

11

6

8

3

9

2

26

30

1

4

7

9

6

8

5

10

2

3

11

12

26

31

1

4

10

5

7

12

11

3

8

6

9

2

26

32

1

4

10

9

3

8

5

7

2

6

11

12

26

33

1

4

11

3

8

9

10

5

7

2

12

6

26

34

1

4

11

6

5

12

10

2

7

8

9

3

26

35

1

5

2

10

9

11

8

12

4

3

7

6

26

36

1

5

2

10

9

12

7

11

3

4

8

6

26

37

1

5

3

11

7

10

6

12

2

4

8

9

26

38

1

6

9

3

8

11

12

7

5

4

10

2

26

39

1

7

2

9

8

12

10

11

4

5

6

3

26

40

1

7

9

2

8

10

11

6

5

3

12

4

26

41

2

3

6

5

12

11

9

7

8

1

10

4

26

42

2

3

6

9

8

7

5

11

4

1

10

12

26

43

2

3

9

8

6

5

12

10

11

1

4

7

26

44

2

3

12

6

5

4

11

8

10

1

7

9

26

45

2

4

3

7

12

11

8

10

6

1

9

5

26

46

2

4

5

11

6

12

3

7

1

8

10

9

26

47

2

4

6

7

9

8

5

10

3

1

12

11

26

48

2

4

6

9

7

10

3

8

1

5

12

11

26

49

2

4

7

10

5

9

3

8

1

6

11

12

26

50

2

4

8

3

11

10

9

6

7

1

12

5

26

51

2

4

8

9

5

10

3

6

1

7

12

11

26

52

2

4

11

3

8

7

12

6

10

1

9

5

26

53

2

5

3

12

6

11

4

10

1

7

8

9

26

54

2

6

1

9

10

11

8

12

4

3

7

5

26

55

2

6

1

9

10

12

7

11

3

4

8

5

26

56

2

6

4

9

7

8

5

12

1

3

10

11

26

57

2

7

1

10

8

12

9

11

4

6

5

3

26

58

2

7

10

1

8

9

11

5

6

3

12

4

26

59

3

4

2

8

12

10

6

11

5

1

9

7

26

60

3

4

5

9

8

11

2

7

1

6

12

10

26

61

3

4

5

10

7

12

2

6

1

8

11

9

26

62

3

4

6

11

5

9

2

8

1

7

10

12

26

63

3

4

7

9

6

11

2

5

1

8

12

10

26

64

3

4

12

2

8

6

10

5

9

1

11

7

26

65

3

5

1

9

11

10

6

12

4

2

8

7

26

66

3

5

1

11

9

12

4

10

2

6

8

7

26

67

3

6

2

8

10

12

4

9

1

5

11

7

26

68

3

6

2

11

7

9

4

12

1

5

8

10

26

69

3

6

11

1

8

7

12

5

9

2

10

4

26

70

3

7

4

5

10

8

6

11

2

1

12

9

26

71

3

7

4

6

9

8

5

11

1

2

12

10

26

72

4

5

1

12

8

10

3

11

2

6

7

9

26

73

4

5

3

12

6

9

2

10

1

7

8

11

26

74

4

6

2

7

11

8

5

12

3

1

10

9

26

75

4

8

3

5

10

7

6

12

2

1

11

9

26

76

4

8

3

6

9

7

5

12

1

2

11

10

26

77

5

6

1

7

12

9

4

11

3

2

10

8

26

78

5

6

3

9

8

7

2

11

1

4

10

12

26

79

5

7

2

6

11

10

3

9

1

4

12

8

26

80

6

8

1

5

12

9

4

10

2

3

11

7

26

 

 

See below the magic stars of Mariàn Trenkler

 

 

 

 

 

 

 

See below a magic star in a magic circle, based on a panmagic 5x5 square.

 

 

 

 

Source: Lloyd V. Decker of Goddard, Kansas

 

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