Pantriagonal & compact 4x4x4 magic cube (Composite 1')
In comparison with the most perfect magic 4x4x4 cube, the magic 4x4x4 cube is pantriagonal magic (= the 4 space diagonals and all space pandiagonals give the
magic sum of 130) and 2x2 compact (in all three directions i.e. 63+34+10+23 = 63+34+1+32 = 63+10+1+56 =130), but this 4x4x4 magic cube is only semi (= simple) magic (instead of diagonal
magic) in each level and semi (= simple) magic (instead of diagonal magic) through the levels.
First level 4x4x4 cube
|
6 |
27 |
54 |
43 |
|
51 |
46 |
3 |
30 |
|
16 |
17 |
64 |
33 |
|
57 |
40 |
9 |
24 |
Second level 4x4x4 cube
|
63 |
34 |
15 |
18 |
|
10 |
23 |
58 |
39 |
|
53 |
44 |
5 |
28 |
|
4 |
29 |
52 |
45 |
Third level 4x4x4 cube
|
1 |
32 |
49 |
48 |
|
56 |
41 |
8 |
25 |
|
11 |
22 |
59 |
38 |
|
62 |
35 |
14 |
19 |
Fourth level 4x4x4 cube
|
60 |
37 |
12 |
21 |
|
13 |
20 |
61 |
36 |
|
50 |
47 |
2 |
31 |
|
7 |
26 |
55 |
42 |
See in download below how to construct (by puzzling) a 4x4x4 pantriagonal and 2x2 compact 4x4x4 magic cube.
With method composite 1' you use a splitted magic square to construct a magic cube. See on this website the construction of:
4x4x4 (pantriagonal & symmetric) and 4x4x4 (pantriagonal & compact)
