Simple 6x6x6 magic cube (Medjig method 3D)

For explanation about the Medjig method to construct magic squares, see 6x6 magic square.

You can use the Medjig method three dimensional (3D) to construct a simple 6x6x6 magic square with two grids. The first grid does not consist of the 2x2 Medjig tiles with numbers 0 up to 3, but consists of the 2x2x2 Medjig blocks with the numbers 0 up to 7. To keep it easy, use the numbers 0, 3, 5 and 6 in the odd levels and fill in automatically the inverse numbers 7, 4, 2 and 1 in the even levels. If you get level 1 valid, copy it to levels 3 and 5, than the pillars give also the right magic sum. To get the triagonals valid, you must swap numbers (and take care that the other magic features remain valid).

Take 1x number from first grid with 2x2 'blown up' 3x3x3 magic cube

 1 84 84 84 84 84 84 84 8 8 24 24 10 10 84 8 8 24 24 10 10 84 12 12 7 7 23 23 84 12 12 7 7 23 23 84 22 22 11 11 9 9 84 22 22 11 11 9 9 2 84 84 84 84 84 84 84 8 8 24 24 10 10 84 8 8 24 24 10 10 84 12 12 7 7 23 23 84 12 12 7 7 23 23 84 22 22 11 11 9 9 84 22 22 11 11 9 9 3 84 84 84 84 84 84 84 15 15 1 1 26 26 84 15 15 1 1 26 26 84 25 25 14 14 3 3 84 25 25 14 14 3 3 84 2 2 27 27 13 13 84 2 2 27 27 13 13 4 84 84 84 84 84 84 84 15 15 1 1 26 26 84 15 15 1 1 26 26 84 25 25 14 14 3 3 84 25 25 14 14 3 3 84 2 2 27 27 13 13 84 2 2 27 27 13 13 5 84 84 84 84 84 84 84 19 19 17 17 6 6 84 19 19 17 17 6 6 84 5 5 21 21 16 16 84 5 5 21 21 16 16 84 18 18 4 4 20 20 84 18 18 4 4 20 20 6 84 84 84 84 84 84 84 19 19 17 17 6 6 84 19 19 17 17 6 6 84 5 5 21 21 16 16 84 5 5 21 21 16 16 84 18 18 4 4 20 20 84 18 18 4 4 20 20

+ 27x number from second grid with 2x2x2 Medjig blocks

 1 21 21 21 21 21 21 21 3 5 0 5 5 3 21 6 0 6 3 0 6 21 6 0 6 0 6 3 21 3 5 3 5 5 0 21 3 5 0 5 5 3 21 0 6 6 3 0 6 2 21 21 21 21 21 21 21 4 2 7 2 2 4 21 1 7 1 4 7 1 21 1 7 1 7 1 4 21 4 2 4 2 2 7 21 4 2 7 2 2 4 21 7 1 1 4 7 1 3 21 21 21 21 21 21 21 6 0 6 3 0 6 21 3 5 0 5 5 3 21 3 6 3 0 6 3 21 0 5 6 5 5 0 21 3 5 0 5 5 3 21 6 0 6 3 0 6 4 21 21 21 21 21 21 21 1 7 1 4 7 1 21 4 2 7 2 2 4 21 4 1 4 7 1 4 21 7 2 1 2 2 7 21 4 2 7 2 2 4 21 1 7 1 4 7 1 5 21 21 21 21 21 21 21 6 0 6 3 0 6 21 5 3 0 5 5 3 21 0 6 6 0 6 3 21 5 3 3 5 5 0 21 5 3 0 5 5 3 21 0 6 6 3 0 6 6 21 21 21 21 21 21 21 1 7 1 4 7 1 21 2 4 7 2 2 4 21 7 1 1 7 1 4 21 2 4 4 2 2 7 21 2 4 7 2 2 4 21 7 1 1 4 7 1

= 6x6x6 simple magic cube

 1 651 651 651 651 651 651 651 89 143 24 159 145 91 651 170 8 186 105 10 172 651 174 12 169 7 185 104 651 93 147 88 142 158 23 651 103 157 11 146 144 90 651 22 184 173 92 9 171 2 651 651 651 651 651 651 651 116 62 213 78 64 118 651 35 197 51 132 199 37 651 39 201 34 196 50 131 651 120 66 115 61 77 212 651 130 76 200 65 63 117 651 211 49 38 119 198 36 3 651 651 651 651 651 651 651 177 15 163 82 26 188 651 96 150 1 136 161 107 651 106 187 95 14 165 84 651 25 160 176 149 138 3 651 83 137 27 162 148 94 651 164 2 189 108 13 175 4 651 651 651 651 651 651 651 42 204 28 109 215 53 651 123 69 190 55 80 134 651 133 52 122 203 30 111 651 214 79 41 68 57 192 651 110 56 216 81 67 121 651 29 191 54 135 202 40 5 651 651 651 651 651 651 651 181 19 179 98 6 168 651 154 100 17 152 141 87 651 5 167 183 21 178 97 651 140 86 102 156 151 16 651 153 99 4 139 155 101 651 18 180 166 85 20 182 6 651 651 651 651 651 651 651 46 208 44 125 195 33 651 73 127 206 71 60 114 651 194 32 48 210 43 124 651 59 113 129 75 70 205 651 72 126 193 58 74 128 651 207 45 31 112 209 47

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

With method of Medjig you can construct a magic cube of even order. See on this website the construction of:

6x6x6, medjig.xlsx