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Use the Medjig method without puzzling. This method is known as the LUX method of John Horton Conway. The three letters are three different Medjig tiles. If you draw imaginary lines between the 1, 2, 3 and 4, you get the L (red marked), the U (yellow marked) or the X (blew marked).
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First grid is filled with the LUX tiles. Second grid is a 2x2 'blown up' 15x15 magic square.Â
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Take 1x number from first grid and add 4x [number -/- 1] from the same cell of the second grid.
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Take 1x number from grid of Medjig tiles LUX
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 1 | 4 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 4 | 1 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 |
2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 |
1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 |
3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 |
1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 |
3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 |
1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 |
3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 |
1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 |
3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 |
1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 |
3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 |
1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 | 1 | 4 |
3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 | 3 | 2 |
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+Â 4x [number -/- 1]Â from 2x2 'blown up' 15x15 magic square
14 | 14 | 224 | 224 | 222 | 222 | 220 | 220 | 218 | 218 | 216 | 216 | 214 | 214 | 213 | 213 | 18 | 18 | 20 | 20 | 22 | 22 | 24 | 24 | 26 | 26 | 28 | 28 | 16 | 16 |
14 | 14 | 224 | 224 | 222 | 222 | 220 | 220 | 218 | 218 | 216 | 216 | 214 | 214 | 213 | 213 | 18 | 18 | 20 | 20 | 22 | 22 | 24 | 24 | 26 | 26 | 28 | 28 | 16 | 16 |
1 | 1 | 42 | 42 | 52 | 52 | 50 | 50 | 48 | 48 | 46 | 46 | 44 | 44 | 187 | 187 | 188 | 188 | 190 | 190 | 192 | 192 | 194 | 194 | 196 | 196 | 40 | 40 | 225 | 225 |
1 | 1 | 42 | 42 | 52 | 52 | 50 | 50 | 48 | 48 | 46 | 46 | 44 | 44 | 187 | 187 | 188 | 188 | 190 | 190 | 192 | 192 | 194 | 194 | 196 | 196 | 40 | 40 | 225 | 225 |
3 | 3 | 197 | 197 | 162 | 162 | 155 | 155 | 157 | 157 | 159 | 159 | 161 | 161 | 163 | 163 | 59 | 59 | 57 | 57 | 55 | 55 | 53 | 53 | 62 | 62 | 29 | 29 | 223 | 223 |
3 | 3 | 197 | 197 | 162 | 162 | 155 | 155 | 157 | 157 | 159 | 159 | 161 | 161 | 163 | 163 | 59 | 59 | 57 | 57 | 55 | 55 | 53 | 53 | 62 | 62 | 29 | 29 | 223 | 223 |
5 | 5 | 195 | 195 | 54 | 54 | 82 | 82 | 153 | 153 | 151 | 151 | 149 | 149 | 81 | 81 | 83 | 83 | 85 | 85 | 87 | 87 | 146 | 146 | 172 | 172 | 31 | 31 | 221 | 221 |
5 | 5 | 195 | 195 | 54 | 54 | 82 | 82 | 153 | 153 | 151 | 151 | 149 | 149 | 81 | 81 | 83 | 83 | 85 | 85 | 87 | 87 | 146 | 146 | 172 | 172 | 31 | 31 | 221 | 221 |
7 | 7 | 193 | 193 | 56 | 56 | 88 | 88 | 94 | 94 | 89 | 89 | 91 | 91 | 131 | 131 | 129 | 129 | 127 | 127 | 130 | 130 | 138 | 138 | 170 | 170 | 33 | 33 | 219 | 219 |
7 | 7 | 193 | 193 | 56 | 56 | 88 | 88 | 94 | 94 | 89 | 89 | 91 | 91 | 131 | 131 | 129 | 129 | 127 | 127 | 130 | 130 | 138 | 138 | 170 | 170 | 33 | 33 | 219 | 219 |
9 | 9 | 191 | 191 | 58 | 58 | 86 | 86 | 136 | 136 | 122 | 122 | 118 | 118 | 103 | 103 | 102 | 102 | 120 | 120 | 90 | 90 | 140 | 140 | 168 | 168 | 35 | 35 | 217 | 217 |
9 | 9 | 191 | 191 | 58 | 58 | 86 | 86 | 136 | 136 | 122 | 122 | 118 | 118 | 103 | 103 | 102 | 102 | 120 | 120 | 90 | 90 | 140 | 140 | 168 | 168 | 35 | 35 | 217 | 217 |
11 | 11 | 189 | 189 | 60 | 60 | 84 | 84 | 134 | 134 | 107 | 107 | 110 | 110 | 117 | 117 | 112 | 112 | 119 | 119 | 92 | 92 | 142 | 142 | 166 | 166 | 37 | 37 | 215 | 215 |
11 | 11 | 189 | 189 | 60 | 60 | 84 | 84 | 134 | 134 | 107 | 107 | 110 | 110 | 117 | 117 | 112 | 112 | 119 | 119 | 92 | 92 | 142 | 142 | 166 | 166 | 37 | 37 | 215 | 215 |
211 | 211 | 41 | 41 | 61 | 61 | 147 | 147 | 133 | 133 | 105 | 105 | 115 | 115 | 113 | 113 | 111 | 111 | 121 | 121 | 93 | 93 | 79 | 79 | 165 | 165 | 185 | 185 | 15 | 15 |
211 | 211 | 41 | 41 | 61 | 61 | 147 | 147 | 133 | 133 | 105 | 105 | 115 | 115 | 113 | 113 | 111 | 111 | 121 | 121 | 93 | 93 | 79 | 79 | 165 | 165 | 185 | 185 | 15 | 15 |
209 | 209 | 43 | 43 | 160 | 160 | 148 | 148 | 98 | 98 | 125 | 125 | 114 | 114 | 109 | 109 | 116 | 116 | 101 | 101 | 128 | 128 | 78 | 78 | 66 | 66 | 183 | 183 | 17 | 17 |
209 | 209 | 43 | 43 | 160 | 160 | 148 | 148 | 98 | 98 | 125 | 125 | 114 | 114 | 109 | 109 | 116 | 116 | 101 | 101 | 128 | 128 | 78 | 78 | 66 | 66 | 183 | 183 | 17 | 17 |
207 | 207 | 45 | 45 | 158 | 158 | 150 | 150 | 100 | 100 | 106 | 106 | 108 | 108 | 123 | 123 | 124 | 124 | 104 | 104 | 126 | 126 | 76 | 76 | 68 | 68 | 181 | 181 | 19 | 19 |
207 | 207 | 45 | 45 | 158 | 158 | 150 | 150 | 100 | 100 | 106 | 106 | 108 | 108 | 123 | 123 | 124 | 124 | 104 | 104 | 126 | 126 | 76 | 76 | 68 | 68 | 181 | 181 | 19 | 19 |
205 | 205 | 47 | 47 | 156 | 156 | 152 | 152 | 96 | 96 | 137 | 137 | 135 | 135 | 95 | 95 | 97 | 97 | 99 | 99 | 132 | 132 | 74 | 74 | 70 | 70 | 179 | 179 | 21 | 21 |
205 | 205 | 47 | 47 | 156 | 156 | 152 | 152 | 96 | 96 | 137 | 137 | 135 | 135 | 95 | 95 | 97 | 97 | 99 | 99 | 132 | 132 | 74 | 74 | 70 | 70 | 179 | 179 | 21 | 21 |
203 | 203 | 49 | 49 | 154 | 154 | 80 | 80 | 73 | 73 | 75 | 75 | 77 | 77 | 145 | 145 | 143 | 143 | 141 | 141 | 139 | 139 | 144 | 144 | 72 | 72 | 177 | 177 | 23 | 23 |
203 | 203 | 49 | 49 | 154 | 154 | 80 | 80 | 73 | 73 | 75 | 75 | 77 | 77 | 145 | 145 | 143 | 143 | 141 | 141 | 139 | 139 | 144 | 144 | 72 | 72 | 177 | 177 | 23 | 23 |
201 | 201 | 51 | 51 | 164 | 164 | 71 | 71 | 69 | 69 | 67 | 67 | 65 | 65 | 63 | 63 | 167 | 167 | 169 | 169 | 171 | 171 | 173 | 173 | 64 | 64 | 175 | 175 | 25 | 25 |
201 | 201 | 51 | 51 | 164 | 164 | 71 | 71 | 69 | 69 | 67 | 67 | 65 | 65 | 63 | 63 | 167 | 167 | 169 | 169 | 171 | 171 | 173 | 173 | 64 | 64 | 175 | 175 | 25 | 25 |
199 | 199 | 186 | 186 | 174 | 174 | 176 | 176 | 178 | 178 | 180 | 180 | 182 | 182 | 39 | 39 | 38 | 38 | 36 | 36 | 34 | 34 | 32 | 32 | 30 | 30 | 184 | 184 | 27 | 27 |
199 | 199 | 186 | 186 | 174 | 174 | 176 | 176 | 178 | 178 | 180 | 180 | 182 | 182 | 39 | 39 | 38 | 38 | 36 | 36 | 34 | 34 | 32 | 32 | 30 | 30 | 184 | 184 | 27 | 27 |
210 | 210 | 2 | 2 | 4 | 4 | 6 | 6 | 8 | 8 | 10 | 10 | 12 | 12 | 13 | 13 | 208 | 208 | 206 | 206 | 204 | 204 | 202 | 202 | 200 | 200 | 198 | 198 | 212 | 212 |
210 | 210 | 2 | 2 | 4 | 4 | 6 | 6 | 8 | 8 | 10 | 10 | 12 | 12 | 13 | 13 | 208 | 208 | 206 | 206 | 204 | 204 | 202 | 202 | 200 | 200 | 198 | 198 | 212 | 212 |
Â
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= 30x30 magic square
56 | 53 | 896 | 893 | 888 | 885 | 880 | 877 | 872 | 869 | 864 | 861 | 856 | 853 | 852 | 849 | 72 | 69 | 80 | 77 | 88 | 85 | 96 | 93 | 104 | 101 | 112 | 109 | 64 | 61 |
54 | 55 | 894 | 895 | 886 | 887 | 878 | 879 | 870 | 871 | 862 | 863 | 854 | 855 | 850 | 851 | 70 | 71 | 78 | 79 | 86 | 87 | 94 | 95 | 102 | 103 | 110 | 111 | 62 | 63 |
4 | 1 | 168 | 165 | 208 | 205 | 200 | 197 | 192 | 189 | 184 | 181 | 176 | 173 | 748 | 745 | 752 | 749 | 760 | 757 | 768 | 765 | 776 | 773 | 784 | 781 | 160 | 157 | 900 | 897 |
2 | 3 | 166 | 167 | 206 | 207 | 198 | 199 | 190 | 191 | 182 | 183 | 174 | 175 | 746 | 747 | 750 | 751 | 758 | 759 | 766 | 767 | 774 | 775 | 782 | 783 | 158 | 159 | 898 | 899 |
12 | 9 | 788 | 785 | 648 | 645 | 620 | 617 | 628 | 625 | 636 | 633 | 644 | 641 | 652 | 649 | 236 | 233 | 228 | 225 | 220 | 217 | 212 | 209 | 248 | 245 | 116 | 113 | 892 | 889 |
10 | 11 | 786 | 787 | 646 | 647 | 618 | 619 | 626 | 627 | 634 | 635 | 642 | 643 | 650 | 651 | 234 | 235 | 226 | 227 | 218 | 219 | 210 | 211 | 246 | 247 | 114 | 115 | 890 | 891 |
20 | 17 | 780 | 777 | 216 | 213 | 328 | 325 | 612 | 609 | 604 | 601 | 596 | 593 | 324 | 321 | 332 | 329 | 340 | 337 | 348 | 345 | 584 | 581 | 688 | 685 | 124 | 121 | 884 | 881 |
18 | 19 | 778 | 779 | 214 | 215 | 326 | 327 | 610 | 611 | 602 | 603 | 594 | 595 | 322 | 323 | 330 | 331 | 338 | 339 | 346 | 347 | 582 | 583 | 686 | 687 | 122 | 123 | 882 | 883 |
28 | 25 | 772 | 769 | 224 | 221 | 352 | 349 | 376 | 373 | 356 | 353 | 364 | 361 | 524 | 521 | 516 | 513 | 508 | 505 | 520 | 517 | 552 | 549 | 680 | 677 | 132 | 129 | 876 | 873 |
26 | 27 | 770 | 771 | 222 | 223 | 350 | 351 | 374 | 375 | 354 | 355 | 362 | 363 | 522 | 523 | 514 | 515 | 506 | 507 | 518 | 519 | 550 | 551 | 678 | 679 | 130 | 131 | 874 | 875 |
36 | 33 | 764 | 761 | 232 | 229 | 344 | 341 | 544 | 541 | 488 | 485 | 472 | 469 | 412 | 409 | 408 | 405 | 480 | 477 | 360 | 357 | 560 | 557 | 672 | 669 | 140 | 137 | 868 | 865 |
34 | 35 | 762 | 763 | 230 | 231 | 342 | 343 | 542 | 543 | 486 | 487 | 470 | 471 | 410 | 411 | 406 | 407 | 478 | 479 | 358 | 359 | 558 | 559 | 670 | 671 | 138 | 139 | 866 | 867 |
44 | 41 | 756 | 753 | 240 | 237 | 336 | 333 | 536 | 533 | 428 | 425 | 440 | 437 | 468 | 465 | 448 | 445 | 476 | 473 | 368 | 365 | 568 | 565 | 664 | 661 | 148 | 145 | 860 | 857 |
42 | 43 | 754 | 755 | 238 | 239 | 334 | 335 | 534 | 535 | 426 | 427 | 438 | 439 | 466 | 467 | 446 | 447 | 474 | 475 | 366 | 367 | 566 | 567 | 662 | 663 | 146 | 147 | 858 | 859 |
844 | 841 | 164 | 161 | 244 | 241 | 588 | 585 | 532 | 529 | 420 | 417 | 460 | 457 | 449 | 452 | 444 | 441 | 484 | 481 | 372 | 369 | 316 | 313 | 660 | 657 | 740 | 737 | 60 | 57 |
842 | 843 | 162 | 163 | 242 | 243 | 586 | 587 | 530 | 531 | 418 | 419 | 458 | 459 | 450 | 451 | 442 | 443 | 482 | 483 | 370 | 371 | 314 | 315 | 658 | 659 | 738 | 739 | 58 | 59 |
833 | 836 | 169 | 172 | 637 | 640 | 589 | 592 | 389 | 392 | 497 | 500 | 453 | 456 | 436 | 433 | 461 | 464 | 401 | 404 | 509 | 512 | 309 | 312 | 261 | 264 | 729 | 732 | 65 | 68 |
834 | 835 | 170 | 171 | 638 | 639 | 590 | 591 | 390 | 391 | 498 | 499 | 454 | 455 | 434 | 435 | 462 | 463 | 402 | 403 | 510 | 511 | 310 | 311 | 262 | 263 | 730 | 731 | 66 | 67 |
825 | 828 | 177 | 180 | 629 | 632 | 597 | 600 | 397 | 400 | 421 | 424 | 429 | 432 | 489 | 492 | 493 | 496 | 413 | 416 | 501 | 504 | 301 | 304 | 269 | 272 | 721 |