Special 14x14 magic square
Order 14 is double prime number. So a panmagic, symmetric and/or compact result is not possible. Ofcourse there are concentric or inlay results.
Mahdi Alavi send me an old 10x10 magic square. If you split up the numbers in the sequences 1 up to 10, 11 up to 20, ..., 91 up to 100, you find exactly one number from each sequence in each row/column/diagonal.
Jos Luyendijk constructed a matching row grid to create the special 14x14 magic vierkant square. Find exactly one number from the sequences 1 up to 14, 15 up to 28, ..., 183 up to 196 in each row/column/diagonal.
Special 14x14 magic square
|
188 |
169 |
159 |
149 |
139 |
116 |
110 |
85 |
74 |
70 |
56 |
36 |
27 |
1 |
|
172 |
39 |
150 |
64 |
84 |
91 |
2 |
195 |
105 |
117 |
129 |
43 |
160 |
28 |
|
161 |
44 |
57 |
82 |
97 |
3 |
19 |
182 |
184 |
99 |
118 |
140 |
151 |
42 |
|
152 |
69 |
83 |
94 |
4 |
20 |
162 |
41 |
173 |
186 |
104 |
119 |
127 |
45 |
|
65 |
71 |
92 |
5 |
21 |
163 |
154 |
50 |
35 |
181 |
193 |
101 |
120 |
128 |
|
77 |
93 |
7 |
22 |
164 |
153 |
130 |
60 |
55 |
32 |
180 |
185 |
100 |
121 |
|
88 |
6 |
23 |
165 |
141 |
131 |
122 |
78 |
68 |
51 |
30 |
178 |
192 |
106 |
|
8 |
24 |
34 |
48 |
61 |
79 |
87 |
102 |
123 |
133 |
142 |
166 |
176 |
196 |
|
112 |
187 |
177 |
29 |
46 |
58 |
72 |
124 |
134 |
143 |
167 |
25 |
9 |
96 |
|
113 |
111 |
183 |
171 |
37 |
54 |
59 |
132 |
144 |
168 |
26 |
10 |
95 |
76 |
|
136 |
126 |
103 |
190 |
174 |
33 |
52 |
145 |
155 |
17 |
11 |
89 |
81 |
67 |
|
53 |
135 |
125 |
108 |
189 |
175 |
40 |
156 |
18 |
12 |
86 |
73 |
63 |
146 |
|
38 |
147 |
137 |
114 |
107 |
194 |
179 |
15 |
13 |
90 |
75 |
66 |
47 |
157 |
|
16 |
158 |
49 |
138 |
115 |
109 |
191 |
14 |
98 |
80 |
62 |
148 |
31 |
170 |
14 x (number-1) from column grid
|
14 |
13 |
12 |
11 |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
|
13 |
3 |
11 |
5 |
6 |
7 |
1 |
14 |
8 |
9 |
10 |
4 |
12 |
2 |
|
12 |
4 |
5 |
6 |
7 |
1 |
2 |
13 |
14 |
8 |
9 |
10 |
11 |
3 |
|
11 |
5 |
6 |
7 |
1 |
2 |
12 |
3 |
13 |
14 |
8 |
9 |
10 |
4 |
|
5 |
6 |
7 |
1 |
2 |
12 |
11 |
4 |
3 |
13 |
14 |
8 |
9 |
10 |
|
6 |
7 |
1 |
2 |
12 |
11 |
10 |
5 |
4 |
3 |
13 |
14 |
8 |
9 |
|
7 |
1 |
2 |
12 |
11 |
10 |
9 |
6 |
5 |
4 |
3 |
13 |
14 |
8 |
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
|
8 |
14 |
13 |
3 |
4 |
5 |
6 |
9 |
10 |
11 |
12 |
2 |
1 |
7 |
|
9 |
8 |
14 |
13 |
3 |
4 |
5 |
10 |
11 |
12 |
2 |
1 |
7 |
6 |
|
10 |
9 |
8 |
14 |
13 |
3 |
4 |
11 |
12 |
2 |
1 |
7 |
6 |
5 |
|
4 |
10 |
9 |
8 |
14 |
13 |
3 |
12 |
2 |
1 |
7 |
6 |
5 |
11 |
|
3 |
11 |
10 |
9 |
8 |
14 |
13 |
2 |
1 |
7 |
6 |
5 |
4 |
12 |
|
2 |
12 |
4 |
10 |
9 |
8 |
14 |
1 |
7 |
6 |
5 |
11 |
3 |
13 |
1x number from matching row grid (constructed by Jos Luyendijk)
|
6 |
1 |
5 |
9 |
13 |
4 |
12 |
1 |
4 |
14 |
14 |
8 |
13 |
1 |
|
4 |
11 |
10 |
8 |
14 |
7 |
2 |
13 |
7 |
5 |
3 |
1 |
6 |
14 |
|
7 |
2 |
1 |
12 |
13 |
3 |
5 |
14 |
2 |
1 |
6 |
14 |
11 |
14 |
|
12 |
13 |
13 |
10 |
4 |
6 |
8 |
13 |
5 |
4 |
6 |
7 |
1 |
3 |
|
9 |
1 |
8 |
5 |
7 |
9 |
14 |
8 |
7 |
13 |
11 |
3 |
8 |
2 |
|
7 |
9 |
7 |
8 |
10 |
13 |
4 |
4 |
13 |
4 |
12 |
3 |
2 |
9 |
|
4 |
6 |
9 |
11 |
1 |
5 |
10 |
8 |
12 |
9 |
2 |
10 |
10 |
8 |
|
8 |
10 |
6 |
6 |
5 |
9 |
3 |
4 |
11 |
7 |
2 |
12 |
8 |
14 |
|
14 |
5 |
9 |
1 |
4 |
2 |
2 |
12 |
8 |
3 |
13 |
11 |
9 |
12 |
|
1 |
13 |
1 |
3 |
9 |
12 |
3 |
6 |
4 |
14 |
12 |
10 |
11 |
6 |
|
10 |
14 |
5 |
8 |
6 |
5 |
10 |
5 |
1 |
3 |
11 |
5 |
11 |
11 |
|
11 |
9 |
13 |
10 |
7 |
7 |
12 |
2 |
4 |
12 |
2 |
3 |
7 |
6 |
|
10 |
7 |
11 |
2 |
9 |
12 |
11 |
1 |
13 |
6 |
5 |
10 |
5 |
3 |
|
2 |
4 |
7 |
12 |
3 |
11 |
9 |
14 |
14 |
10 |
6 |
8 |
3 |
2 |
See in the download below the special 10x10 and 14x14 magic square.
