Four dimensional

10x10x10x10 (simple) magic cube

 

Use the 10x10 magic square which is created by reflecting grids to get a simple 10x10x10x10 magic cube.

 

 

1 20 80 70 60 41 31 30 81 91
92 12 79 69 59 49 39 22 82 2
98 88 23 68 53 43 38 73 18 3
97 87 77 34 54 44 64 24 17 7
96 86 26 36 45 55 65 75 15 6
5 85 25 35 46 56 66 76 16 95
4 84 74 37 47 57 67 27 14 94
93 13 28 33 48 58 63 78 83 8
9 19 72 62 42 52 32 29 89 99
10 11 21 61 51 50 40 71 90 100

 

 

Take 1x number from the first grid with 50x the 10x10 magic square (green marked) and 50x the inverse magic square (red marked).

 

N.B.: If addition of 2 numbers gives 101, than these numbers have the same colour.

 

Take 100x (number -/- 1) from the second grid with per cube/level 2 numbers. These 2 numbers are the number from the 10x10 magic square and the inverse number (= 101 -/- number). See for example cube 1 / level 1:

 

1-1

1 1 1 100 100 100 100 1 1 100
1 1 100 100 1 1 100 100 100 1
100 1 1 1 100 100 1 100 1 100
1 100 100 1 1 1 100 100 1 100
100 100 1 1 100 100 1 1 100 1
100 100 1 1 100 100 1 1 100 1
1 1 100 100 1 1 1 100 100 100
100 1 100 1 100 100 1 1 1 100
1 100 100 100 1 1 100 100 1 1
100 100 1 100 1 1 100 1 100 1

 

 

See for grids, the result and the check (if all numbers are in the magic cube and if addition of the numbers give the right magic sum) the download below.

 

Download
10x10x10x10.xlsx
Microsoft Excel werkblad 736.8 KB
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Four dimensional