De Lozenge methode van John Horton Conway levert een oneven magisch vierkant op, waarbij alle oneven getallen zich in de (witte) 'diamant' bevinden en alle even getallen daarbuiten (in het donkere gebied). Zie voor gedetailleerde uitleg het Lozenge 5x5 magisch vierkant.
Neem 1x getal uit rijpatroon +1
6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 |
5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 |
4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 |
3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 |
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
+ 13x getal uit kolompatroon
7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
12 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 |
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 |
3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 |
4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 |
5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 |
6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 | 1 | 2 | 3 | 4 | 5 |
= 13x13 Lozenge magisch vierkant
98 | 112 | 126 | 140 | 154 | 168 | 13 | 14 | 28 | 42 | 56 | 70 | 84 |
110 | 124 | 138 | 152 | 166 | 11 | 25 | 39 | 40 | 54 | 68 | 82 | 96 |
122 | 136 | 150 | 164 | 9 | 23 | 37 | 51 | 65 | 66 | 80 | 94 | 108 |
134 | 148 | 162 | 7 | 21 | 35 | 49 | 63 | 77 | 91 | 92 | 106 | 120 |
146 | 160 | 5 | 19 | 33 | 47 | 61 | 75 | 89 | 103 | 117 | 118 | 132 |
158 | 3 | 17 | 31 | 45 | 59 | 73 | 87 | 101 | 115 | 129 | 143 | 144 |
1 | 15 | 29 | 43 | 57 | 71 | 85 | 99 | 113 | 127 | 141 | 155 | 169 |
26 | 27 | 41 | 55 | 69 | 83 | 97 | 111 | 125 | 139 | 153 | 167 | 12 |
38 | 52 | 53 | 67 | 81 | 95 | 109 | 123 | 137 | 151 | 165 | 10 | 24 |
50 | 64 | 78 | 79 | 93 | 107 | 121 | 135 | 149 | 163 | 8 | 22 | 36 |
62 | 76 | 90 | 104 | 105 | 119 | 133 | 147 | 161 | 6 | 20 | 34 | 48 |
74 | 88 | 102 | 116 | 130 | 131 | 145 | 159 | 4 | 18 | 32 | 46 | 60 |
86 | 100 | 114 | 128 | 142 | 156 | 157 | 2 | 16 | 30 | 44 | 58 | 72 |
Deze methode werkt voor alle magische vierkanten van oneven grootte (orde), dus 3x3, 5x5, 7x7, ... magisch vierkant.