Pantriagonal 24x24x24 magic cube (Composite 5')

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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

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+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

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+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