<HOME> <<PREVIOUS] [NEXT>>
How to use a panmagic 4x4 square to produce a most perfect magic
28x28 square
It is also possible to use (the pattern of) each random chosen panmagic 4x4 square to produce a
most perfect magic 28x28 square.
1x digit from 28x28 grid of 49x 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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
0
|
5
|
1
|
1
|
5
|
1
|
5
|
5
|
1
|
4
|
2
|
2
|
4
|
2
|
4
|
4
|
2
|
3
|
3
|
3
|
3
|
|
0
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
0
|
5
|
1
|
1
|
5
|
1
|
5
|
5
|
1
|
4
|
2
|
2
|
4
|
2
|
4
|
4
|
2
|
3
|
3
|
3
|
3
|
|
0
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
0
|
5
|
1
|
1
|
5
|
1
|
5
|
5
|
1
|
4
|
2
|
2
|
4
|
2
|
4
|
4
|
2
|
3
|
3
|
3
|
3
|
|
0
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
0
|
5
|
1
|
1
|
5
|
1
|
5
|
5
|
1
|
4
|
2
|
2
|
4
|
2
|
4
|
4
|
2
|
3
|
3
|
3
|
3
|
|
0
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
0
|
5
|
1
|
1
|
5
|
1
|
5
|
5
|
1
|
4
|
2
|
2
|
4
|
2
|
4
|
4
|
2
|
3
|
3
|
3
|
3
|
|
0
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
0
|
5
|
1
|
1
|
5
|
1
|
5
|
5
|
1
|
4
|
2
|
2
|
4
|
2
|
4
|
4
|
2
|
3
|
3
|
3
|
3
|
|
0
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
0
|
5
|
1
|
1
|
5
|
1
|
5
|
5
|
1
|
4
|
2
|
2
|
4
|
2
|
4
|
4
|
2
|
3
|
3
|
3
|
3
|
|
0
|
6
|
6
|
0
|
6
|
0
|
0
|
6
|
1
|
5
|
5
|
1
|
5
|
1
|
1
|
5
|
2
|
4
|
4
|
2
|
4
|
2
|
2
|
4
|
3
|
3
|
3
|
3
|
|
6
|
0
|
0
|
6
|
0
|
6
|
6
|
| |