28x28x28 pantriagonal magic cube consisting of 343x proportional pantriagonal 4x4x4 magic cube

 

Use a pantriagonal 4x4x4 magic cube and a panmagic 7x7 square to construct a pantriagonal 28x28x28 magic cube, consisting of 343 proportional pantriagonal 4x4x4 magic cubes.

 

The first griod consists of 343x pantriagonal 4x4x4 magic cube. The second grids consists of the 7x7 panmagic square and its inverse. The third grid consists of the numbers 0 up to 6. Take 1x number from first grid + 64 x (number -/- 1) from second grid + 64x49x number from third grid. See the grids and the results of the first level below.

 

 

Take 1x number from first grid of 28x28x28 magic cube [level 1] 

6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43
51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30
16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33
57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24
6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43
51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30
16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33
57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24
6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43
51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30
16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33
57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24
6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43
51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30
16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33
57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24
6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43
51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30
16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33
57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24
6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43
51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30
16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33
57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24
6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43 6 27 54 43
51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30 51 46 3 30
16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33 16 17 64 33
57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24 57 40 9 24

 

 

 

+ 64x (number -/- 1) from second grid of 28x28x28 magic cube [level 1]

1 49 1 49 35 15 35 15 16 34 16 34 45 5 45 5 39 11 39 11 26 24 26 24 13 37 13 37
49 1 49 1 15 35 15 35 34 16 34 16 5 45 5 45 11 39 11 39 24 26 24 26 37 13 37 13
1 49 1 49 35 15 35 15 16 34 16 34 45 5 45 5 39 11 39 11 26 24 26 24 13 37 13 37
49 1 49 1 15 35 15 35 34 16 34 16 5 45 5 45 11 39 11 39 24 26 24 26 37 13 37 13
47 3 47 3 41 9 41 9 22 28 22 28 14 36 14 36 2 48 2 48 31 19 31 19 18 32 18 32
3 47 3 47 9 41 9 41 28 22 28 22 36 14 36 14 48 2 48 2 19 31 19 31 32 18 32 18
47 3 47 3 41 9 41 9 22 28 22 28 14 36 14 36 2 48 2 48 31 19 31 19 18 32 18 32
3 47 3 47 9 41 9 41 28 22 28 22 36 14 36 14 48 2 48 2 19 31 19 31 32 18 32 18
10 40 10 40 4 46 4 46 33 17 33 17 20 30 20 30 43 7 43 7 42 8 42 8 23 27 23 27
40 10 40 10 46 4 46 4 17 33 17 33 30 20 30 20 7 43 7 43 8 42 8 42 27 23 27 23
10 40 10 40 4 46 4 46 33 17 33 17 20 30 20 30 43 7 43 7 42 8 42 8 23 27 23 27
40 10 40 10 46 4 46 4 17 33 17 33 30 20 30 20 7 43 7 43 8 42 8 42 27 23 27 23
21 29 21 29 44 6 44 6 38 12 38 12 25 25 25 25 12 38 12 38 6 44 6 44 29 21 29 21
29 21 29 21 6 44 6 44 12 38 12 38 25 25 25 25 38 12 38 12 44 6 44 6 21 29 21 29
21 29 21 29 44 6 44 6 38 12 38 12 25 25 25 25 12 38 12 38 6 44 6 44 29 21 29 21
29 21 29 21 6 44 6 44 12 38 12 38 25 25 25 25 38 12 38 12 44 6 44 6 21 29 21 29
27 23 27 23 8 42 8 42 7 43 7 43 30 20 30 20 17 33 17 33 46 4 46 4 40 10 40 10
23 27 23 27 42 8 42 8 43 7 43 7 20 30 20 30 33 17 33 17 4 46 4 46 10 40 10 40
27 23 27 23 8 42 8 42 7 43 7 43 30 20 30 20 17 33 17 33 46 4 46 4 40 10 40 10
23 27 23 27 42 8 42 8 43 7 43 7 20 30 20 30 33 17 33 17 4 46 4 46 10 40 10 40
32 18 32 18 19 31 19 31 48 2 48 2 36 14 36 14 28 22 28 22 9 41 9 41 3 47 3 47
18 32 18 32 31 19 31 19 2 48 2 48 14 36 14 36 22 28 22 28 41 9 41 9 47 3 47 3
32 18 32 18 19 31 19 31 48 2 48 2 36 14 36 14 28 22 28 22 9 41 9 41 3 47 3 47
18 32 18 32 31 19 31 19 2 48 2 48 14 36 14 36 22 28 22 28 41 9 41 9 47 3 47 3
37 13 37 13 24 26 24 26 11 39 11 39 5 45 5 45 34 16 34 16 15 35 15 35 49 1 49 1
13 37 13 37 26 24 26 24 39 11 39 11 45 5 45 5 16 34 16 34 35 15 35 15 1 49 1 49
37 13 37 13 24 26 24 26 11 39 11 39 5 45 5 45 34 16 34 16 15 35 15 35 49 1 49 1
13 37 13 37 26 24 26 24 39 11 39 11 45 5 45 5 16 34 16 34 35 15 35 15 1 49 1 49

 

 

+ 64x49x number from third grid of 28x28x28 magic cube [level 1]

0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0
0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6
6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0 6 0

 

 

= 28x28x28 pantriagonal magic cube onsisting of 343x pantriagonal 4x4x4 cube

6 21915 54 21931 2182 19739 2230 19755 966 20955 1014 20971 2822 19099 2870 19115 2438 19483 2486 19499 1606 20315 1654 20331 774 21147 822 21163
21939 46 21891 30 19763 2222 19715 2206 20979 1006 20931 990 19123 2862 19075 2846 19507 2478 19459 2462 20339 1646 20291 1630 21171 814 21123 798
16 21905 64 21921 2192 19729 2240 19745 976 20945 1024 20961 2832 19089 2880 19105 2448 19473 2496 19489 1616 20305 1664 20321 784 21137 832 21153
21945 40 21897 24 19769 2216 19721 2200 20985 1000 20937 984 19129 2856 19081 2840 19513 2472 19465 2456 20345 1640 20297 1624 21177 808 21129 792
2950 18971 2998 18987 2566 19355 2614 19371 1350 20571 1398 20587 838 21083 886 21099 70 21851 118 21867 1926 19995 1974 20011 1094 20827 1142 20843
18995 2990 18947 2974 19379 2606 19331 2590 20595 1390 20547 1374 21107 878 21059 862 21875 110 21827 94 20019 1966 19971 1950 20851 1134 20803 1118
2960 18961 3008 18977 2576 19345 2624 19361 1360 20561 1408 20577 848 21073 896 21089 80 21841 128 21857 1936 19985 1984 20001 1104