Pantriagonal 6x6x6 magic cube

 

To construct a 6x6x6 magic cube, you need math. See explanation on the website of Jos Luyendijk: http://www.entertainmentmathematics.nl/index.html

 

On the website of Jos Luyendijk you can find the following pantriagonal 6x6x6 magic cube.

 

 

Pantriagonal 6x6x6 magic cube

 

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

 

See in the download below that each row/column in each level and the pillars and all 144 pantriagonals (= including the 4 [main] triagonals) through the levels give the magic sum.

 

Download
6x6x6, pantriagonal.xlsx
Microsoft Excel werkblad 22.3 KB