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Most magic 4x4x4 cube
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How to use a panmagic 4x4 square to produce a ‘most magic’ 4x4x4 cube
 
 
Read on http://en.wikipedia.org/wiki/Perfect_magic_cube everything about the features of the perfect
magic cube. Perfect magic cubes exist from the size (order) of 5x5x5 and bigger.

 
See on www.trump.de/magic-squares/magic-cubes/cubes-1.html the following 4x4x4 magic cube.
This 4x4x4 magic cube is nearly perfect.
 


  



The above mentioned 4x4x4 magic cube has the following magic features:
 
-         the 4 rows, the 4 columns and the 2 diagonals in each level give the magic sum of 130:
-         the 16 pillars give the magic sum of 130;
-         the 16 diagonals (2x4 from the corners and 8x from the middle of the sides) through the 4
levels give the magic sum of 130;
-         The space diagonals give 100, 120, 140 respectively 160 instead of the magic sum of 130.
 
 
 You can use a 4x4 panmagic square to produce a ‘nearly perfect’ magic 4x4x4 cube:
 

1x digit
 
 
 
+ 4x digit
 
     =
1st level 4x4x4 cube
1
8
13
12
 
 
1
0
3
2
 
 
17
8
61
44
15
10
3
6
 
 
0
2
1
3
 
 
15
42
19
54
4
5
16
9
 
 
3
1
2
0
 
 
52
21
48
9
14
11
2
7
 
 
2
3
0
1
 
 
46
59
2
23
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1x digit
 
 
 
+ 4x digit
 
     =
2nd level 4x4x4cube
10
15
6
3
 
 
0
2
1
3
 
 
10
47
22
51
8
1
12
13
 
 
2
3
0
1
 
 
40
49
12
29
11
14
7
2
 
 
1
0
3
2
 
 
27
14
55
34
5
4
9
16
 
 
3
1
2
0
 
 
53
20
41
16
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1x digit
 
 
 
+ 4x digit
 
     =
3rd level 4x4x4 cube
16
9
4
5
 
 
3
1
2
0
 
 
64
25
36
5
2
7
14
11
 
 
1
0
3
2
 
 
18
7
62
43
13
12
1
8
 
 
2
3
0
1
 
 
45
60
1
24
3
6
15
10
 
 
0
2
1
3
 
 
3
38
31
58
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1x digit
 
 
 
+ 4x digit
 
     =
4th level 4x4x4 cube
7
2
11
14
 
 
2
3
0
1
 
 
39
50
11
30
9
16
5
4
 
 
3
1
2
0
 
 
57
32
37
4
6
3
10
15
 
 
0
2
1
3
 
 
6
35
26
63
12
13
8
1
 
 
1
0
3
2
 
 
28
13
56
33

 
 
You can use this method to produce a ‘most magic’ 4x4x4 cube from each panmagic 4x4 square.


See also a method of construction to produce a 8x8x8 cube.




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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|Perfect (Nasik) magic 8x8x8 cube|[More than] perfect magic 9x9x9 cube|Trick with 8x8 bimagic square|Favorite Links