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How to make perfect magic squares & cubes
The sky is the limit!!!
Basic pattern method (1b)
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How to use a panmagic 4x4 square to produce a most perfect magic
8x8 square
  
With basic pattern method 1a you use the splitted pattern of a panmagic 4x4 square. It is also
possible to use 4x the unsplitted pattern of a panmagic 4x4 square.
 
You need (2 x 2 =) 4x the same panmagic 4x4 square (see page ‘panmagic 4x4 square’) and 2
fixed grids.
 
 
1x digit from 4x the same  panmagic 4x4 square
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
15
6
12
1
15
6
12
1
4
9
7
14
4
9
7
14
5
16
2
11
5
16
2
11
10
3
13
8
10
3
13
8
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
+ 16x digit from fixed grid 1
 
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
0
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
+ 32x digit from fixed grid 2
 
0
1
0
1
0
1
0
1
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
1
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
1
0
1
0
1
0
1
0
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
= most perfect magic 8x8 square
15
54
28
33
31
38
12
49
52
9
39
30
36
25
55
14
37
32
50
11
53
16
34
27
26
35
13
56
10
51
29
40
47
22
60
1
63
6
44
17
20
41
7
62
4
57
23
46
5
64
18
43
21
48
2
59
58
3
45
24
42
19
61
8
 
 
Notify that the most perfect 8x8 magic square has the extra magic feature X (discovered by Willem
Barink; see page ‘most perfect magic square, explanation’).




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Magic squares|Contact / guestbook|Most magic square per order|3x3 magic square|3x3 magic square, explanation|Sudoku method (1)|Sudoku method (2)|Sudoku method (3)|Pan magic 4x4 square|Pan magic 4x4 square, explanation|Pan magic 4x4 square, binary|Dürer & Franklin transformation|Transformation method|Transformation method, analysis|[ultra] pan magic 5x5 square|Pan magic 5x5 square, explanation|6x6 magic square|Ultra (pan)magic 8x8 square|Most perfect magic squares, explanation|8x8 most perfect magic squares, binary|Khajuraho method|Khajuraho method, explanation|Basic pattern method (1a)|Basic pattern method (1b)|Basic pattern method (2)|Basic pattern method (3a)|Basic pattern method (3b)|Basic pattern method (3c)|Basic pattern method (4)|Basic pattern method (5)|Basic pattern method (6)|Basic pattern method (7a)|Basic pattern method (7b)|Analysis Franklin panm. 8x8 (1)|Analysis Franklin panm. 8x8 (2)|Basic key method (1)|Basic key method (2)|Quadrant method (Willem Barink)|Quadrant method group 1 up to 5|Quadrant method group 6 up to 10|Quadrant method group 11 up to 19|[ultra] pan magic 9x9 square (1)|pan magic 9x9 square (2)|pan magic 9x9 square (3)|3x extra magic 9x9 square|10x10 magic square|Composite 12x12 magic square|14x14 magic square|[Ultra] pan magic 15x15 square|3x extra magic 15x15 square|The perfect magic square|3x extra magic 18x18 square|Ultra pan magic 25x25 square|[ultra] pan magic 27x27 square|[ultra] pan magic 35x35 square|extra magic 35x35 square|Bordered squares|Inlaid square (1)|Inlaid square (2)|Each magic sum|Water retention challenge|Most magic 4x4x4 cube|symmetric & semi (pan)magic 5x5x5 cube|Symmetric & panmagic 7x7x7 cube|Perfect (Nasik) & compact 8x8x8 cube|[More than] perfect magic 9x9x9 cube|Perfect (Nasik) magic 11x11x11 cube|Perfect (Nasik) magic 15x15x15 cube|Trick with 8x8 bimagic square|Favorite Links