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 |
|