I have analyzed Dwane Campbell's 5x5x5x5 pantriagonal cube (see download on website
http://magictesseract.com/odd_tesseract). The two grids consists of a simple symmetric 5x5 magic square and 24x the (semi
magic) shifted versions of the 5x5 square.
Take 1x number from first grid
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
||||
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
||||
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
||||
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
14 |
2 |
20 |
8 |
21 |
||||
14 |
2 |
20 |
8 |
21 |
22 |
15 |
3 |
16 |
9 |
10 |
23 |
11 |
4 |
17 |
18 |
6 |
24 |
12 |
5 |
1 |
19 |
7 |
25 |
13 |
||||
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
||||
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
||||
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
||||
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
2 |
20 |
8 |
21 |
14 |
||||
2 |
20 |
8 |
21 |
14 |
15 |
3 |
16 |
9 |
22 |
23 |
11 |
4 |
17 |
10 |
6 |
24 |
12 |
5 |
18 |
19 |
7 |
25 |
13 |
1 |
||||
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
||||
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
||||
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
||||
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
20 |
8 |
21 |
14 |
2 |
||||
20 |
8 |
21 |
14 |
2 |
3 |
16 |
9 |
22 |
15 |
11 |
4 |
17 |
10 |
23 |
24 |
12 |
5 |
18 |
6 |
7 |
25 |
13 |
1 |
19 |
||||
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
||||
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
||||
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
||||
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
8 |
21 |
14 |
2 |
20 |
||||
8 |
21 |
14 |
2 |
20 |
16 |
9 |
22 |
15 |
3 |
4 |
17 |
10 |
23 |
11 |
12 |
5 |
18 |
6 |
24 |
25 |
13 |
1 |
19 |
7 |
||||
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
||||
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
||||
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
||||
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
21 |
14 |
2 |
20 |
8 |
||||
21 |
14 |
2 |
20 |
8 |
9 |
22 |
15 |
3 |
16 |
17 |
10 |
23 |
11 |
4 |
5 |
18 |
6 |
24 |
12 |
13 |
1 |
19 |
7 |
25 |
+ 25x number from second grid
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
||||
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
||||
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
||||
25 |
8 |
16 |
4 |
12 |
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
||||
13 |
21 |
9 |
17 |
5 |
1 |
14 |
22 |
10 |
18 |
19 |
2 |
15 |
23 |
6 |
7 |
20 |
3 |
11 |
24 |
25 |
8 |
16 |
4 |
12 |
||||
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
||||
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
||||
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
||||
12 |
25 |
8 |
16 |
4 |
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
||||
5 |
13 |
21 |
9 |
17 |
18 |
1 |
14 |
22 |
10 |
6 |
19 |
2 |
15 |
23 |
24 |
7 |
20 |
3 |
11 |
12 |
25 |
8 |
16 |
4 |
||||
10 |
18 |
1 |
14 |
22 |
23 |
6 |
19 |
2 |
15 |
11 |
24 |
7 |
20 |