### 5x5x5x5 pantriagonal magic hypercube

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