**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.

- Article
published in the German newspaper
*Schwabacher Tagblatt*, October 1st 2002 (.JPG file, 120Kb) - Article
published in the German newspaper
*Nürnberger Nachrichten*, October 29th 2002 (.JPG file, 189Kb) - English translation of the
*Nürnberger Nachrichten*article (Thanks to Werner Thamer for his translation) - Story of the smallest trimagic square, text written by Walter Trump

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

Return to the home page http://www.multimagie.com