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How to make perfect magic squares & cubes
The sky is the limit!!!
Basic pattern method (7b)
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How to use a panmagic 4x4 square to produce a most perfect magic
32x32 square
 
With basic pattern method 7a it is possible to use the splitted as well as the unsplitted panmagic 4x4
square. With basic pattern method 7b it is only possible to use the unsplitted pattern of a panmagic
4x4 square. But the result is a most perfect magic 32x32 square with the extra magic feature X.
 
You need (8 x 8 =) 64x the same panmagic 4x4 square (see page ‘panmagic 4x4 square’) and 2 fixed
grids.
 
 
1x digit from 64x the same panmagic 4x4 square
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
10
3
13
8
 
 
+16x digit from fixed grid 1
0
7
7
0
7
0
0
7
1
6
6
1
6
1
1
6
2
5
5
2
5
2
2
5
3
4
4
3
4
3
3
4
7
0
0
7
0
7
7
0
6
1
1
6
1
6
6
1
5
2
2
5
2
5
5
2
4
3
3
4
3
4
4
3
0
7
7
0
7
0
0
7
1
6
6
1
6
1
1
6
2
5
5
2
5
2
2
5
3
4
4
3
4
3
3
4
7
0
0
7
0
7
7
0
6
1
1
6
1
6
6
1
5
2
2
5
2
5
5
2
4
3
3
4
3
4
4
3
0
7
7
0
7
0
0
7
1
6
6
1
6
1
1
6
2
5
5
2
5
2
2
5
3
4
4
3
4
3
3
4
7
0
0
7
0
7
7
0
6
1
1
6
1
6
6
1
5
2
2
5
2
5
5
2
4
3
3