15x15x15 magic cube

Pandiagonal & compact 15x15x15 magic cube (Composite 1)

 

Use the ultra magic 15x15 square and it's row grid to construct the eighth level of the pandiagonal & compact 15x15x15 cube. To construct the remaining levels we use the diagonal shifted versions of the ultra magic 15x15 square and the diagonal shifted versions of it's row grid (in reversed order):

 

 

Take 1x number from grid with [diagonal shifted] 15x15 ultra magic square [level 8]

202 10 124 200 14 127 205 4 125 209 7 130 199 5 134
75 183 83 73 181 90 63 188 88 61 195 78 68 193 76
47 116 177 51 114 167 56 117 171 54 107 176 57 111 174
142 40 154 140 44 157 145 34 155 149 37 160 139 35 164
105 213 23 103 211 30 93 218 28 91 225 18 98 223 16
197 11 132 201 9 122 206 12 126 204 2 131 207 6 129
67 190 79 65 194 82 70 184 80 74 187 85 64 185 89
60 108 173 58 106 180 48 113 178 46 120 168 53 118 166
137 41 162 141 39 152 146 42 156 144 32 161 147 36 159
97 220 19 95 224 22 100 214 20 104 217 25 94 215 29
210 3 128 208 1 135 198 8 133 196 15 123 203 13 121
62 191 87 66 189 77 71 192 81 69 182 86 72 186 84
52 115 169 50 119 172 55 109 170 59 112 175 49 110 179
150 33 158 148 31 165 138 38 163 136 45 153 143 43 151
92 221 27 96 219 17 101 222 21 99 212 26 102 216 24

 

 

+ 225x number from grid with row pattern 15x15 in reversed order [level 8]

13 0 8 13 0 8 13 0 8 13 0 8 13 0 8
4 12 5 4 12 5 4 12 5 4 12 5 4 12 5
3 7 11 3 7 11 3 7 11 3 7 11 3 7 11
9 2 10 9 2 10 9 2 10 9 2 10 9 2 10
6 14 1 6 14 1 6 14 1 6 14 1 6 14 1
13 0 8 13 0 8 13 0 8 13 0 8 13 0 8
4 12 5 4 12 5 4 12 5 4 12 5 4 12 5
3 7 11 3 7 11 3 7 11 3 7 11 3 7 11
9 2 10 9 2 10 9 2 10 9 2 10 9 2 10
6 14 1 6 14 1 6 14 1 6 14 1 6 14 1
13 0 8 13 0 8 13 0 8 13 0 8 13 0 8
4 12 5 4 12 5 4 12 5 4 12 5 4 12 5
3 7 11 3 7 11 3 7 11 3 7 11 3 7 11
9 2 10 9 2 10 9 2 10 9 2 10 9 2 10
6 14 1 6 14 1 6 14 1 6 14 1 6 14 1

 

 

= 15x15x15 pandiagonal, 1/2 pantriagonal and compact magic cube [level 8]

3127 10 1924 3125 14 1927 3130 4 1925 3134 7 1930 3124 5 1934
975 2883 1208 973 2881 1215 963 2888 1213 961 2895 1203 968 2893 1201
722 1691 2652 726 1689 2642 731 1692 2646 729 1682 2651 732 1686 2649
2167 490 2404 2165 494 2407 2170 484 2405 2174 487 2410 2164 485 2414
1455 3363 248 1453 3361 255 1443 3368 253 1441 3375 243 1448 3373 241
3122 11 1932 3126 9 1922 3131 12 1926 3129 2 1931 3132 6 1929
967 2890 1204 965 2894 1207 970 2884 1205 974 2887 1210 964 2885 1214
735 1683 2648 733 1681 2655 723 1688 2653 721 1695 2643 728 1693 2641
2162 491 2412 2166 489 2402 2171 492 2406 2169 482 2411 2172 486 2409
1447 3370 244 1445 3374 247 1450 3364 245 1454 3367 250 1444 3365 254
3135 3 1928 3133 1 1935 3123 8 1933 3121 15 1923 3128 13 1921
962 2891 1212 966 2889 1202 971 2892 1206 969 2882 1211 972 2886 1209
727 1690 2644 725 1694 2647 730 1684 2645 734 1687 2650 724 1685 2654
2175 483 2408 2173 481 2415 2163 488 2413 2161 495 2403 2168 493 2401
1442 3371 252 1446 3369 242 1451 3372 246 1449 3362 251 1452 3366 249

 

 

See all grids and all levels of the 15x15x15 cube in the download below.

 

With method composite 1 you use a magic square to construct a magic cube. See on this website the construction of:

3x3x3 (simple),  4x4x4 (most perfect), 5x5x5 (pantriagonal), 7x7x7 (pantriagonal),

9x9x9 (pandiagonal & compact), 12x12x12 (diagonal), 12x12x12 (pantriagonal),

15x15x15 (pandiagonal & compact), 16x16x16 (Nasik)a, 16x16x16 (Nasik)b,

20x20x20 (diagonal), 20x20x20 (pantriagonal), 24x24x24 (diagonal), 24x24x24

(pantriagonal), 28x28x28 (diagonal), 28x28x28 (pantriagonal)

 

Download
15x15x15, pandiagonal and 3x3 compact.xl
Microsoft Power Point presentatie 1.0 MB
Download
15x15x15 magic cube