Best Franklin Squares
 
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My Squares
Part 3

 

12x12

144 7 136 3 137 11 134 8 142 9 138 1
73 66 81 70 80 62 83 65 75 64 79 72
48 103 40 99 41 107 38 104 46 105 42 97
25 114 33 118 32 110 35 113 27 112 31 120
60 91 52 87 53 95 50 92 58 93 54 85
121 18 129 22 128 14 131 17 123 16 127 24
96 55 88 51 89 59 86 56 94 57 90 49
13 126 21 130 20 122 23 125 15 124 19 132
12 139 4 135 5 143 2 140 10 141 6 133
61 78 69 82 68 74 71 77 63 76 67 84
108 43 100 39 101 47 98 44 106 45 102 37
109 30 117 34 116 26 119 29 111 28 115 36

 

Orders that are odd multiples of four are a little more difficult. This is an order twelve pandiagonal magic square with the main Franklin square features. It also has the symmetry feature. This square is symmetrical about the vertical center line. However half rows and half columns with half row totals are not possible in these orders. Instead I’ve produced third rows and third columns with third row totals. Any row or column can be broken into three equal segments and each segment will total 290, one third of the row total. This square doesn’t have imbedded squares.

 

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