Zie voor gedetailleerde uitleg over de methode om pantriagonale magische kubussen van orde dubbel oneven te maken: 6x6x6 magische kubus.
Basis voor de 26x26x26 magische kubus is een 13x13 magisch vierkant.
Zie hieronder de patronen en het resultaat voor de eerste laag.
Neem 1x getal uit 1e patroon met 13x13 panmagisch vierkant (en inverse hiervan)
25 | 1 | 143 | 106 | 81 | 56 | 31 | 162 | 150 | 125 | 100 | 75 | 50 | 145 | 169 | 27 | 64 | 89 | 114 | 139 | 8 | 20 | 45 | 70 | 95 | 120 |
36 | 167 | 155 | 118 | 104 | 67 | 42 | 17 | 5 | 136 | 111 | 86 | 61 | 134 | 3 | 15 | 52 | 66 | 103 | 128 | 153 | 165 | 34 | 59 | 84 | 109 |
47 | 22 | 10 | 141 | 116 | 79 | 65 | 28 | 159 | 147 | 122 | 97 | 72 | 123 | 148 | 160 | 29 | 54 | 91 | 105 | 142 | 11 | 23 | 48 | 73 | 98 |
58 | 33 | 164 | 152 | 127 | 102 | 77 | 40 | 26 | 2 | 133 | 108 | 83 | 112 | 137 | 6 | 18 | 43 | 68 | 93 | 130 | 144 | 168 | 37 | 62 | 87 |
69 | 44 | 19 | 7 | 138 | 113 | 88 | 63 | 38 | 157 | 156 | 119 | 94 | 101 | 126 | 151 | 163 | 32 | 57 | 82 | 107 | 132 | 13 | 14 | 51 | 76 |
80 | 55 | 30 | 161 | 149 | 124 | 99 | 74 | 49 | 24 | 12 | 131 | 117 | 90 | 115 | 140 | 9 | 21 | 46 | 71 | 96 | 121 | 146 | 158 | 39 | 53 |
92 | 78 | 41 | 16 | 4 | 135 | 110 | 85 | 60 | 35 | 166 | 154 | 129 | 78 | 92 | 129 | 154 | 166 | 35 | 60 | 85 | 110 | 135 | 4 | 16 | 41 |
115 | 90 | 53 | 39 | 158 | 146 | 121 | 96 | 71 | 46 | 21 | 9 | 140 | 55 | 80 | 117 | 131 | 12 | 24 | 49 | 74 | 99 | 124 | 149 | 161 | 30 |
126 | 101 | 76 | 51 | 14 | 13 | 132 | 107 | 82 | 57 | 32 | 163 | 151 | 44 | 69 | 94 | 119 | 156 | 157 | 38 | 63 | 88 | 113 | 138 | 7 | 19 |
137 | 112 | 87 | 62 | 37 | 168 | 144 | 130 | 93 | 68 | 43 | 18 | 6 | 33 | 58 | 83 | 108 | 133 | 2 | 26 | 40 | 77 | 102 | 127 | 152 | 164 |
148 | 123 | 98 | 73 | 48 | 23 | 11 | 142 | 105 | 91 | 54 | 29 | 160 | 22 | 47 | 72 | 97 | 122 | 147 | 159 | 28 | 65 | 79 | 116 | 141 | 10 |
3 | 134 | 109 | 84 | 59 | 34 | 165 | 153 | 128 | 103 | 66 | 52 | 15 | 167 | 36 | 61 | 86 | 111 | 136 | 5 | 17 | 42 | 67 | 104 | 118 | 155 |
169 | 145 | 120 | 95 | 70 | 45 | 20 | 8 | 139 | 114 | 89 | 64 | 27 | 1 | 25 | 50 | 75 | 100 | 125 | 150 | 162 | 31 | 56 | 81 | 106 | 143 |
145 | 169 | 27 | 64 | 89 | 114 | 139 | 8 | 20 | 45 | 70 | 95 | 120 | 25 | 1 | 143 | 106 | 81 | 56 | 31 | 162 | 150 | 125 | 100 | 75 | 50 |
134 | 3 | 15 | 52 | 66 | 103 | 128 | 153 | 165 | 34 | 59 | 84 | 109 | 36 | 167 | 155 | 118 | 104 | 67 | 42 | 17 | 5 | 136 | 111 | 86 | 61 |
123 | 148 | 160 | 29 | 54 | 91 | 105 | 142 | 11 | 23 | 48 | 73 | 98 | 47 | 22 | 10 | 141 | 116 | 79 | 65 | 28 | 159 | 147 | 122 | 97 | 72 |
112 | 137 | 6 | 18 | 43 | 68 | 93 | 130 | 144 | 168 | 37 | 62 | 87 | 58 | 33 | 164 | 152 | 127 | 102 | 77 | 40 | 26 | 2 | 133 | 108 | 83 |
101 | 126 | 151 | 163 | 32 | 57 | 82 | 107 | 132 | 13 | 14 | 51 | 76 | 69 | 44 | 19 | 7 | 138 | 113 | 88 | 63 | 38 | 157 | 156 | 119 | 94 |
90 | 115 | 140 | 9 | 21 | 46 | 71 | 96 | 121 | 146 | 158 | 39 | 53 | 80 | 55 | 30 | 161 | 149 | 124 | 99 | 74 | 49 | 24 | 12 | 131 | 117 |
78 | 92 | 129 | 154 | 166 | 35 | 60 | 85 | 110 | 135 | 4 | 16 | 41 | 92 | 78 | 41 | 16 | 4 | 135 | 110 | 85 | 60 | 35 | 166 | 154 | 129 |
55 | 80 | 117 | 131 | 12 | 24 | 49 | 74 | 99 | 124 | 149 | 161 | 30 | 115 | 90 | 53 | 39 | 158 | 146 | 121 | 96 | 71 | 46 | 21 | 9 | 140 |
44 | 69 | 94 | 119 | 156 | 157 | 38 | 63 | 88 | 113 | 138 | 7 | 19 | 126 | 101 | 76 | 51 | 14 | 13 | 132 | 107 | 82 | 57 | 32 | 163 | 151 |
33 | 58 | 83 | 108 | 133 | 2 | 26 | 40 | 77 | 102 | 127 | 152 | 164 | 137 | 112 | 87 | 62 | 37 | 168 | 144 | 130 | 93 | 68 | 43 | 18 | 6 |
22 | 47 | 72 | 97 | 122 | 147 | 159 | 28 | 65 | 79 | 116 | 141 | 10 | 148 | 123 | 98 | 73 | 48 | 23 | 11 | 142 | 105 | 91 | 54 | 29 | 160 |
167 | 36 | 61 | 86 | 111 | 136 | 5 | 17 | 42 | 67 | 104 | 118 | 155 | 3 | 134 | 109 | 84 | 59 | 34 | 165 | 153 | 128 | 103 | 66 | 52 | 15 |
1 | 25 | 50 | 75 | 100 | 125 | 150 | 162 | 31 | 56 | 81 | 106 | 143 | 169 | 145 | 120 | 95 | 70 | 45 | 20 | 8 | 139 | 114 | 89 | 64 | 27 |
+ 169x getal uit 2e patroon met de uitgepuzzelde getallen van 1 t/m 104
1 | 101 | 10 | 14 | 19 | 83 | 79 | 30 | 33 | 36 | 41 | 60 | 58 | 103 | 99 | 13 | 89 | 84 | 24 | 77 | 32 | 70 | 67 | 40 | 50 | 52 |
10 | 14 | 19 | 83 | 79 | 30 | 33 | 36 | 41 | 60 | 58 | 1 | 101 | 13 | 89 | 84 | 24 | 77 | 32 | 70 | 67 | 40 | 50 | 52 | 103 | 99 |
19 | 83 | 79 | 30 | 33 | 36 | 41 | 60 | 58 | 1 | 101 | 10 | 14 | 84 | 24 | 77 | 32 | 70 | 67 | 40 | 50 | 52 | 103 | 99 | 13 | 89 |
79 | 30 | 33 | 36 | 41 | 60 | 58 | 1 | 101 | 10 | 14 | 19 | 83 | 77 | 32 | 70 | 67 | 40 | 50 | 52 | 103 | 99 | 13 | 89 | 84 | 24 |
33 | 36 | 41 | 60 | 58 | 1 | 101 | 10 | 14 | 19 | 83 | 79 | 30 | 70 | 67 | 40 | 50 | 52 | 103 | 99 | 13 | 89 | 84 | 24 | 77 | 32 |
41 | 60 | 58 | 1 | 101 | 10 | 14 | 19 | 83 | 79 | 30 | 33 | 36 | 40 | 50 | 52 | 103 | 99 | 13 | 89 | 84 | 24 | 77 | 32 | 70 | 67 |
58 | 1 | 101 | 10 | 14 | 19 | 83 | 79 | 30 | 33 | 36 | 41 | 60 | 52 | 103 | 99 | 13 | 89 | 84 | 24 | 77 | 32 | 70 | 67 | 40 | 50 |
101 | 10 | 14 | 19 | 83 | 79 | 30 | 33 | 36 | 41 | 60 | 58 | 1 | 99 | 13 | 89 | 84 | 24 | 77 | 32 | 70 | 67 | 40 | 50 | 52 | 103 |
14 | 19 | 83 | 79 | 30 | 33 | 36 | 41 | 60 | 58 | 1 | 101 | 10 | 89 | 84 | 24 | 77 | 32 | 70 | 67 | 40 | 50 | 52 | 103 | 99 | 13 |
83 | 79 | 30 | 33 | 36 | 41 | 60 | 58 | 1 | 101 | 10 | 14 | 19 | 24 | 77 | 32 | 70 | 67 | 40 | 50 | 52 | 103 | 99 | 13 | 89 | 84 |
30 | 33 | 36 | 41 | 60 | 58 | 1 | 101 | 10 | 14 | 19 | 83 | 79 | 32 | 70 | 67 | 40 | 50 | 52 | 103 | 99 | 13 | 89 | 84 | 24 | 77 |
36 | 41 | 60 | 58 | 1 | 101 | 10 | 14 | 19 | 83 | 79 | 30 | 33 | 67 | 40 | 50 | 52 | 103 | 99 | 13 | 89 | 84 | 24 | 77 | 32 | 70 |
60 | 58 | 1 | 101 | 10 | 14 | 19 | 83 | 79 | 30 | 33 | 36 | 41 | 50 | 52 | 103 | 99 | 13 | 89 | 84 | 24 | 77 | 32 | 70 | 67 | 40 |
102 | 98 | 9 | 94 | 15 | 87 | 29 | 71 | 66 | 62 | 59 | 57 | 51 | 5 | 97 | 93 | 17 | 20 | 23 | 80 | 27 | 31 | 37 | 42 | 44 | 49 |
9 | 94 | 15 | 87 | 29 | 71 | 66 | 62 | 59 | 57 | 51 | 102 | 98 | 93 | 17 | 20 | 23 | 80 | 27 | 31 | 37 | 42 | 44 | 49 | 5 | 97 |
15 | 87 | 29 | 71 | 66 | 62 | 59 | 57 | 51 | 102 | 98 | 9 | 94 | 20 | 23 | 80 | 27 | 31 | 37 | 42 | 44 | 49 | 5 | 97 | 93 | 17 |
29 | 71 | 66 | 62 | 59 | 57 | 51 | 102 | 98 | 9 | 94 | 15 | 87 | 80 | 27 | 31 | 37 | 42 | 44 | 49 | 5 | 97 | 93 | 17 | 20 | 23 |
66 | 62 | 59 | 57 | 51 | 102 | 98 | 9 | 94 | 15 | 87 | 29 | 71 | 31 | 37 | 42 | 44 | 49 | 5 | 97 | 93 | 17 | 20 | 23 | 80 | 27 |
59 | 57 | 51 | 102 | 98 | 9 | 94 | 15 | 87 | 29 | 71 | 66 | 62 | 42 | 44 | 49 | 5 | 97 | 93 | 17 | 20 | 23 | 80 | 27 | 31 | 37 |
51 | 102 | 98 | 9 | 94 | 15 | 87 | 29 | 71 | 66 | 62 | 59 | 57 | 49 | 5 | 97 | 93 | 17 | 20 | 23 | 80 | 27 | 31 | 37 | 42 | 44 |
98 | 9 | 94 | 15 | 87 | 29 | 71 | 66 | 62 | 59 | 57 | 51 | 102 | 97 | 93 | 17 | 20 | 23 | 80 | 27 | 31 | 37 | 42 | 44 | 49 | 5 |
94 | 15 | 87 | 29 | 71 | 66 | 62 | 59 | 57 | 51 | 102 | 98 | 9 | 17 | 20 | 23 | 80 | 27 | 31 | 37 | 42 | 44 | 49 | 5 | 97 | 93 |
87 | 29 | 71 | 66 | 62 | 59 | 57 | 51 | 102 | 98 | 9 | 94 | 15 | 23 | 80 | 27 | 31 | 37 | 42 | 44 | 49 | 5 | 97 | 93 | 17 | 20 |
71 | 66 | 62 | 59 | 57 | 51 | 102 | 98 | 9 | 94 | 15 | 87 | 29 | 27 | 31 | 37 | 42 | 44 | 49 | 5 | 97 | 93 | 17 | 20 | 23 | 80 |
62 | 59 | 57 | 51 | 102 | 98 | 9 | 94 | 15 | 87 | 29 | 71 | 66 | 37 | 42 | 44 | 49 | 5 | 97 | 93 | 17 | 20 | 23 | 80 | 27 | 31 |
57 | 51 | 102 | 98 | 9 | 94 | 15 | 87 | 29 | 71 | 66 | 62 | 59 | 44 | 49 | 5 | 97 | 93 | 17 | 20 | 23 | 80 | 27 | 31 | 37 | 42 |
= 26x26x26 pantriagonaal magische kubus [laag 1]
25 | 16901 | 1664 | 2303 | 3123 | 13914 | 13213 | 5063 | 5558 | 6040 | 6860 | 10046 | 9683 | 17383 | 16731 | 2055 | 14936 | 14116 | 4001 | 12983 | 5247 | 11681 | 11199 | 6661 | 8376 | 8739 |
1557 | 2364 | 3197 | 13976 | 13286 | 4968 | 5450 | 5932 | 6765 | 10107 | 9744 | 86 | 16961 | 2162 | 14875 | 14042 | 3939 | 12910 | 5342 | 11789 | 11307 | 6756 | 8315 | 8678 | 17322 | 16671 |
3089 | 13880 | 13192 | 5042 | 5524 | 5994 | 6825 | 9999 | 9792 | 147 | 17022 | 1618 | 2269 | 14150 | 4035 | 13004 | 5268 | 11715 | 11245 | 6696 | 8423 | 8630 | 17261 | 16610 | 2101 | 14970 |
13240 | 4934 | 5572 | 6067 | 6887 | 10073 | 9710 | 40 | 16926 | 1523 | 2330 | 3150 | 13941 | 12956 | 5376 | 11667 | 11172 | 6634 | 8349 | 8712 | 17368 | 16706 | 2196 | 14909 | 14089 | 3974 |
5477 | 5959 | 6779 | 9978 | 9771 | 113 | 16988 | 1584 | 2235 | 3199 | 14014 | 13301 | 4995 | 11762 | 11280 | 6742 | 8444 | 8651 | 17295 | 16644 | 2135 | 15004 | 14040 | 3901 | 12895 | 5315 |
6840 | 10026 | 9663 | 161 | 17049 | 1645 | 2296 | 3116 | 13907 | 13206 | 4913 | 5539 | 6032 | 6681 | 8396 | 8759 | 17247 | 16583 | 2074 | 14943 | 14123 | 4008 | 12990 | 5397 | 11700 | 11207 |
9725 | 78 | 16941 | 1537 | 2201 | 3177 | 13968 | 13267 | 4961 | 5443 | 6081 | 6914 | 10100 | 8697 | 17330 | 16691 | 2182 | 15038 | 14062 | 3947 | 12929 | 5349 | 11796 | 11158 | 6607 | 8322 |
17015 | 1611 | 2250 | 3081 | 14016 | 13328 | 5022 | 5504 | 5986 | 6806 | 9992 | 9642 | 140 | 16617 | 2108 | 14989 | 14158 | 3899 | 12868 | 5288 | 11735 | 11253 | 6715 | 8430 | 8780 | 17268 |
2323 | 3143 | 13934 | 13233 | 4915 | 5421 | 6047 | 6867 | 10053 | 9690 | 32 | 17063 | 1672 | 14916 | 14096 | 3981 | 12963 | 5395 | 11818 | 11192 | 6654 | 8369 | 8732 | 17376 | 16569 | 2047 |
13995 | 13294 | 4988 | 5470 | 5952 | 6928 | 10115 | 9763 | 93 | 16968 | 1564 | 2215 | 3048 | 3920 | 12902 | 5322 | 11769 | 11287 | 6593 | 8307 | 8659 | 17315 | 16664 | 2155 | 15024 | 14191 |
5049 | 5531 | 6013 | 6833 | 10019 | 9656 | 11 | 17042 | 1626 | 2288 | 3096 | 13887 | 13342 | 5261 | 11708 | 11226 | 6688 | 8403 | 8766 | 17397 | 16590 | 2093 | 14951 | 14143 | 4028 | 12854 |
5918 | 6894 | 10080 | 9717 | 59 | 16934 | 1686 | 2350 | 3170 | 13961 | 13248 | 4953 | 5423 | 11321 | 6627 | 8342 | 8705 | 17349 | 16698 | 2033 | 14889 | 14069 | 3954 | 12948 | 5357 | 11816 |
10140 | 9778 | 120 | 16995 | 1591 | 2242 | 3062 | 13866 | 13321 | 5015 | 5497 | 5979 | 6787 | 8282 | 8644 | 17288 | 16637 | 2128 | 14997 | 14177 | 4049 | 12875 | 5295 | 11742 | 11260 | 6734 |
17214 | 16562 | 1379 | 15781 | 2455 | 14648 | 4871 | 11838 | 11005 | 10354 | 9872 | 9559 | 8570 | 701 | 16225 | 15691 | 2810 | 3292 | 3774 | 13382 | 4556 | 5220 | 6209 | 7029 | 7342 | 8162 |
1486 | 15720 | 2381 | 14586 | 4798 | 11933 | 11113 | 10462 | 9967 | 9498 | 8509 | 17153 | 16502 | 15584 | 2871 | 3366 | 3836 | 13455 | 4461 | 5112 | 6101 | 6934 | 7403 | 8223 | 762 | 16285 |
2489 | 14682 | 4892 | 11859 | 11039 | 10400 | 9907 | 9606 | 8461 | 17092 | 16441 | 1425 | 15815 | 3258 | 3740 | 13361 | 4535 | 5186 | 6163 | 6994 | 7295 | 8271 | 823 | 16346 | 15645 | 2776 |
4844 | 11967 | 10991 | 10327 | 9845 | 9532 | 8543 | 17199 | 16537 | 1520 | 15754 | 2428 | 14621 | 13409 | 4427 | 5234 | 6236 | 7056 | 7369 | 8189 | 716 | 16250 | 15550 | 2837 | 3319 | 3801 |
11086 | 10435 | 9953 | 9627 | 8482 | 17126 | 16475 | 1459 | 15849 | 2379 | 14548 | 4783 | 11906 | 5139 | 6128 | 6948 | 7274 | 8250 | 789 | 16312 | 15611 | 2742 | 3368 | 3874 | 13470 | 4488 |
9892 | 9579 | 8590 | 17078 | 16414 | 1398 | 15788 | 2462 | 14655 | 4878 | 11988 | 11024 | 10362 | 7009 | 7322 | 8142 | 837 | 16373 | 15672 | 2803 | 3285 | 3767 | 13375 | 4406 | 5201 | 6201 |
8528 | 17161 | 16522 | 1506 | 15883 | 2401 | 14594 | 4817 | 11940 | 11120 | 10313 | 9818 | 9505 | 8204 | 754 | 16265 | 15564 | 2708 | 3346 | 3828 | 13436 | 4454 | 5105 | 6250 | 7083 | 7396 |
16448 | 1432 | 15834 | 2497 | 14546 | 4756 | 11879 | 11059 | 10408 | 9926 | 9613 | 8611 | 17099 | 16339 | 15638 | 2757 | 3250 | 3876 | 13497 | 4515 | 5166 | 6155 | 6975 | 7288 | 8121 | 816 |
15761 | 2435 | 14628 | 4851 | 11986 | 11142 | 10347 | 9865 | 9552 | 8563 | 17207 | 16400 | 1371 | 2830 | 3312 | 3794 | 13402 | 4408 | 5083 | 6216 | 7036 | 7349 | 8169 | 708 | 16387 | 15699 |
14567 | 4790 | 11913 | 11093 | 10442 | 9804 | 9490 | 8490 | 17146 | 16495 | 1479 | 15869 | 2530 | 3855 | 13463 | 4481 | 5132 | 6121 | 7097 | 7411 | 8242 | 769 | 16292 | 15591 | 2722 | 3217 |
11852 | 11032 | 10381 | 9899 | 9586 | 8597 | 17228 | 16421 | 1417 | 15796 | 2482 | 14675 | 4742 | 4542 | 5193 | 6182 | 7002 | 7315 | 8135 | 687 | 16366 | 15653 | 2795 | 3265 | 3747 | 13511 |
10476 | 9838 | 9525 | 8536 | 17180 | 16529 | 1357 | 15734 | 2408 | 14601 | 4836 | 11948 | 11140 | 6087 | 7063 | 7376 | 8196 | 735 | 16258 | 15713 | 2857 | 3339 | 3821 | 13417 | 4446 | 5085 |
9465 | 8475 | 17119 | 16468 | 1452 | 15842 | 2516 | 14696 | 4763 | 11886 | 11066 | 10415 | 9945 | 7436 | 8257 | 796 | 16319 | 15618 | 2749 | 3231 | 3726 | 13490 | 4508 | 5159 | 6148 | 6956 |
Zie voor alle lagen en de check of alle getallen zich in de magische kubus bevinden en optelling van de getallen tot de juiste magische som leidt, onderstaande download.
Met methode Luyendijk kun je pantriagonale magische kubussen voor grootte is dubbel oneven maken. Zie op deze website uitgewerkt voor:
6x6x6, 10x10x10, 14x14x14, 18x18x18, 22x22x22, 26x26x26 en 30x30x30