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Use a 3x3x3 magic cube and it's inverse and a 8x8 most perfect square to construct a pantriagonal 24x24x24 magic cube.
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The first grid consists of 768x a 3x3x3 magic cube and 768x it's inverse.
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The second grid consists of a 3x3 'blown up' most perfect 8x8 magic square and it's inverse.
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The third grid consists of the numbers 0 up to 7.
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See below the construction of level 1.
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Take 1x number from first grid with 3x3x3 magic cube and it's inverse [level 1]
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
20 |
13 |
9 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
8 |
15 |
19 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
16 |
3 |
23 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
12 |
25 |
5 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
6 |
26 |
10 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
22 |
2 |
18 |
Â
Â
+27x number from second grid with 3x3x3 'blown up' most perfect 8x8 magic square [level 1]
1 |
1 |
1 |
60 |
60 |
60 |
22 |
22 |
22 |
47 |
47 |
47 |
2 |
2 |
2 |
59 |
59 |
59 |
21 |
21 |
21 |
48 |
48 |
48 |
1 |
1 |
1 |
60 |
60 |
60 |
22 |
22 |
22 |
47 |
47 |
47 |
2 |
2 |
2 |
59 |
59 |
59 |
21 |
21 |
21 |
48 |
48 |
48 |
1 |
1 |
1 |
60 |
60 |
60 |
22 |
22 |
22 |
47 |
47 |
47 |
2 |
2 |
2 |
59 |
59 |
59 |
21 |
21 |
21 |
48 |
48 |
48 |
56 |
56 |
56 |
13 |
13 |
13 |
35 |
35 |
35 |
26 |
26 |
26 |
55 |
55 |
55 |
14 |
14 |
14 |
36 |
36 |
36 |
25 |
25 |
25 |
56 |
56 |
56 |
13 |
13 |
13 |
35 |
35 |
35 |
26 |
26 |
26 |
55 |
55 |
55 |
14 |
14 |
14 |
36 |
36 |
36 |
25 |
25 |
25 |
56 |
56 |
56 |
13 |
13 |
13 |
35 |
35 |
35 |
26 |
26 |
26 |
55 |
55 |
55 |
14 |
14 |
14 |
36 |
36 |
36 |
25 |
25 |
25 |
43 |
43 |
43 |
18 |
18 |
18 |
64 |
64 |
64 |
5 |
5 |
5 |
44 |
44 |
44 |
17 |
17 |
17 |
63 |
63 |
63 |
6 |
6 |
6 |
43 |
43 |
43 |
18 |
18 |
18 |
64 |
64 |
64 |
5 |
5 |
5 |
44 |
44 |
44 |
17 |
17 |
17 |
63 |
63 |
63 |
6 |
6 |
6 |
43 |
43 |
43 |
18 |
18 |
18 |
64 |
64 |
64 |
5 |
5 |
5 |
44 |
44 |
44 |
17 |
17 |
17 |
63 |
63 |
63 |
6 |
6 |
6 |
30 |
30 |
30 |
39 |
39 |
39 |
9 |
9 |
9 |
52 |
52 |
52 |
29 |
29 |
29 |
40 |
40 |
40 |
10 |
10 |
10 |
51 |
51 |
51 |
30 |
30 |
30 |
39 |
39 |
39 |
9 |
9 |
9 |
52 |
52 |
52 |
29 |
29 |
29 |
40 |
40 |
40 |
10 |
10 |
10 |
51 |
51 |
51 |
30 |
30 |
30 |
39 |
39 |
39 |
9 |
9 |
9 |
52 |
52 |
52 |
29 |
29 |
29 |
40 |
40 |
40 |
10 |
10 |
10 |
51 |
51 |
51 |
3 |
3 |
3 |
58 |
58 |
58 |
24 |
24 |
24 |
45 |
45 |
45 |
4 |
4 |
4 |
57 |
57 |
57 |
23 |
23 |
23 |
46 |
46 |
46 |
3 |
3 |
3 |
58 |
58 |
58 |
24 |
24 |
24 |
45 |
45 |
45 |
4 |
4 |
4 |
57 |
57 |
57 |
23 |
23 |
23 |
46 |
46 |
46 |
3 |
3 |
3 |
58 |
58 |
58 |
24 |
24 |
24 |
45 |
45 |
45 |
4 |
4 |
4 |
57 |
57 |
57 |
23 |
23 |
23 |
46 |
46 |
46 |
54 |
54 |
54 |
15 |
15 |
15 |
33 |
33 |
33 |
28 |
28 |
28 |
53 |
53 |
53 |
16 |
16 |
16 |
34 |
34 |
34 |
27 |
27 |
27 |
54 |
54 |
54 |
15 |
15 |
15 |
33 |
33 |
33 |
28 |
28 |
28 |
53 |
53 |
53 |
16 |
16 |
16 |
34 |
34 |
34 |
27 |
27 |
27 |
54 |
54 |
54 |
15 |
15 |
15 |
33 |
33 |
33 |
28 |
28 |
28 |
53 |
53 |
53 |
16 |
16 |
16 |
34 |
34 |
34 |
27 |
27 |
27 |
41 |
41 |
41 |
20 |
20 |
20 |
62 |
62 |
62 |
7 |
7 |
7 |
42 |
42 |
42 |
19 |
19 |
19 |
61 |
61 |
61 |
8 |
8 |
8 |
41 |
41 |
41 |
20 |
20 |
20 |
62 |
62 |
62 |
7 |
7 |
7 |
42 |
42 |
42 |
19 |
19 |
19 |
61 |
61 |
61 |
8 |
8 |
8 |
41 |
41 |
41 |
20 |
20 |
20 |
62 |
62 |
62 |
7 |
7 |
7 |
42 |
42 |
42 |
19 |
19 |
19 |
61 |
61 |
61 |
8 |
8 |
8 |
32 |
32 |
32 |
37 |
37 |
37 |
11 |
11 |
11 |
50 |
50 |
50 |
31 |
31 |
31 |
38 |
38 |
38 |
12 |
12 |
12 |
49 |
49 |
49 |
32 |
32 |
32 |
37 |
37 |
37 |
11 |
11 |
11 |
50 |
50 |
50 |
31 |
31 |
31 |
38 |
38 |
38 |
12 |
12 |
12 |
49 |
49 |
49 |
32 |
32 |
32 |
37 |
37 |
37 |
11 |
11 |
11 |
50 |
50 |
50 |
31 |
31 |
31 |
38 |
38 |
38 |
12 |
12 |
12 |
49 |
49 |
49 |
Â
Â
+27x64x number from third grid with numbers 0 up to 7 [level 1]
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |
7 |
7 |
0 |
0 |
0 |
7 |