Trimagic square, 12th-order

Walter Trump (Schwabach, 1953 - )

The first known order-12 trimagic square is due to the German Walter Trump. The square was found in June 2002. He is "symmetrical" left/right: the i-th element of a row + the (13-i)th element of this same row = 12² + 1 = 145.

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

The sums of the rows, columns and diagonals are equal to 870. The sums of the squares of the rows, columns and diagonals are equal to 83,810. The sums of the cubes of the rows, columns and diagonals are equal to 9,082,800.

In 2018, sixteen years later, Walter Trump worked again on 12th-order trimagic squares. Look at his webpages.