With the alternative method of Strachey we make 4 as proportional as possible 7x7 magic squares (shift) to construct the 14x14 magic square, and than we swap numbers to get the magic square valid.
To construct the 4 panmagic 7x7 squares, take the numbers 0 up to 6 as row coordinates and take the digits 0 up to (7 x 4 -/- 1 = ) 27 as column coordinates.
7x column coordinate + 1x row coordinate + 1 = panmagic 7x7 square
686 | 686 | 686 | 686 | 686 | 686 | 686 | ||||||||||||||||||
686 | 686 | |||||||||||||||||||||||
1 | 6 | 9 | 14 | 17 | 20 | 27 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 8 | 44 | 66 | 102 | 124 | 146 | 196 | 686 | |||
20 | 27 | 1 | 6 | 9 | 14 | 17 | 2 | 3 | 4 | 5 | 6 | 0 | 1 | 143 | 193 | 12 | 48 | 70 | 99 | 121 | 686 | |||
14 | 17 | 20 | 27 | 1 | 6 | 9 | 4 | 5 | 6 | 0 | 1 | 2 | 3 | 103 | 125 | 147 | 190 | 9 | 45 | 67 | 686 | |||
6 | 9 | 14 | 17 | 20 | 27 | 1 | 6 | 0 | 1 | 2 | 3 | 4 | 5 | 49 | 64 | 100 | 122 | 144 | 194 | 13 | 686 | |||
27 | 1 | 6 | 9 | 14 | 17 | 20 | 1 | 2 | 3 | 4 | 5 | 6 | 0 | 191 | 10 | 46 | 68 | 104 | 126 | 141 | 686 | |||
17 | 20 | 27 | 1 | 6 | 9 | 14 | 3 | 4 | 5 | 6 | 0 | 1 | 2 | 123 | 145 | 195 | 14 | 43 | 65 | 101 | 686 | |||
9 | 14 | 17 | 20 | 27 | 1 | 6 | 5 | 6 | 0 | 1 | 2 | 3 | 4 | 69 | 105 | 120 | 142 | 192 | 11 | 47 | 686 | |||
686 | 686 | 686 | 686 | 686 | 686 | 686 | ||||||||||||||||||
686 | 686 | |||||||||||||||||||||||
2 | 5 | 10 | 13 | 18 | 22 | 24 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 15 | 37 | 73 | 95 | 131 | 160 | 175 | 686 | |||
22 | 24 | 2 | 5 | 10 | 13 | 18 | 2 | 3 | 4 | 5 | 6 | 0 | 1 | 157 | 172 | 19 | 41 | 77 | 92 | 128 | 686 | |||
13 | 18 | 22 | 24 | 2 | 5 | 10 | 4 | 5 | 6 | 0 | 1 | 2 | 3 | 96 | 132 | 161 | 169 | 16 | 38 | 74 | 686 | |||
5 | 10 | 13 | 18 | 22 | 24 | 2 | 6 | 0 | 1 | 2 | 3 | 4 | 5 | 42 | 71 | 93 | 129 | 158 | 173 | 20 | 686 | |||
24 | 2 | 5 | 10 | 13 | 18 | 22 | 1 | 2 | 3 | 4 | 5 | 6 | 0 | 170 | 17 | 39 | 75 | 97 | 133 | 155 | 686 | |||
18 | 22 | 24 | 2 | 5 | 10 | 13 | 3 | 4 | 5 | 6 | 0 | 1 | 2 | 130 | 159 | 174 | 21 | 36 | 72 | 94 | 686 | |||
10 | 13 | 18 | 22 | 24 | 2 | 5 | 5 | 6 | 0 | 1 | 2 | 3 | 4 | 76 | 98 | 127 | 156 | 171 | 18 | 40 | 686 | |||
693 | 693 | 693 | 693 | 693 | 693 | 693 | ||||||||||||||||||
693 | 693 | |||||||||||||||||||||||
0 | 7 | 8 | 15 | 16 | 23 | 26 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 1 | 51 | 59 | 109 | 117 | 167 | 189 | 693 | |||
23 | 26 | 0 | 7 | 8 | 15 | 16 | 2 | 3 | 4 | 5 | 6 | 0 | 1 | 164 | 186 | 5 | 55 | 63 | 106 | 114 | 693 | |||
15 | 16 | 23 | 26 | 0 | 7 | 8 | 4 | 5 | 6 | 0 | 1 | 2 | 3 | 110 | 118 | 168 | 183 | 2 | 52 | 60 | 693 | |||
7 | 8 | 15 | 16 | 23 | 26 | 0 | 6 | 0 | 1 | 2 | 3 | 4 | 5 | 56 | 57 | 107 | 115 | 165 | 187 | 6 | 693 | |||
26 | 0 | 7 | 8 | 15 | 16 | 23 | 1 | 2 | 3 | 4 | 5 | 6 | 0 | 184 | 3 | 53 | 61 | 111 | 119 | 162 | 693 | |||
16 | 23 | 26 | 0 | 7 | 8 | 15 | 3 | 4 | 5 | 6 | 0 | 1 | 2 | 116 | 166 | 188 | 7 | 50 | 58 | 108 | 693 | |||
8 | 15 | 16 | 23 | 26 | 0 | 7 | 5 | 6 | 0 | 1 | 2 | 3 | 4 | 62 | 112 | 113 | 163 | 185 | 4 | 54 | 693 | |||
693 | 693 | 693 | 693 | 693 | 693 | 693 | ||||||||||||||||||
693 | 693 | |||||||||||||||||||||||
3 | 4 | 11 | 12 | 19 | 21 | 25 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 22 | 30 | 80 | 88 | 138 | 153 | 182 | 693 | |||
21 | 25 | 3 | 4 | 11 | 12 | 19 | 2 | 3 | 4 | 5 | 6 | 0 | 1 | 150 | 179 | 26 | 34 | 84 | 85 | 135 | 693 | |||
12 | 19 | 21 | 25 | 3 | 4 | 11 | 4 | 5 | 6 | 0 | 1 | 2 | 3 | 89 | 139 | 154 | 176 | 23 | 31 | 81 | 693 | |||
4 | 11 | 12 | 19 | 21 | 25 | 3 | 6 | 0 | 1 | 2 | 3 | 4 | 5 | 35 | 78 | 86 | 136 | 151 | 180 | 27 | 693 | |||
25 | 3 | 4 | 11 | 12 | 19 | 21 | 1 | 2 | 3 | 4 | 5 | 6 | 0 | 177 | 24 | 32 | 82 | 90 | 140 | 148 | 693 | |||
19 | 21 | 25 | 3 | 4 | 11 | 12 | 3 | 4 | 5 | 6 | 0 | 1 | 2 | 137 | 152 | 181 | 28 | 29 | 79 | 87 | 693 | |||
11 | 12 | 19 | 21 | 25 | 3 | 4 | 5 | 6 | 0 | 1 | 2 | 3 | 4 | 83 | 91 | 134 | 149 | 178 | 25 | 33 | 693 |
Combine the 4 panmagic 7x7 squares.
(Semi) Magic 14x14 square, to be corrected
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
|||
1386 |
1372 |
|||||||||||||||
1379 |
1 |
51 |
59 |
109 |
117 |
167 |
189 |
8 |
44 |
66 |
102 |
124 |
146 |
196 |
||
1379 |
164 |
186 |
5 |
55 |
63 |
106 |
114 |
143 |
193 |
12 |
48 |
70 |
99 |
121 |
||
1379 |
110 |
118 |
168 |
183 |
2 |
52 |
60 |
103 |
125 |
147 |
190 |
9 |
45 |
67 |
||
1379 |
56 |
57 |
107 |
115 |
165 |
187 |
6 |
49 |
64 |
100 |
122 |
144 |
194 |
13 |
||
1379 |
184 |
3 |
53 |
61 |
111 |
119 |
162 |
191 |
10 |
46 |
68 |
104 |
126 |
141 |
||
1379 |
116 |
166 |
188 |
7 |
50 |
58 |
108 |
123 |
145 |
195 |
14 |
43 |
65 |
101 |
||
1379 |
62 |
112 |
113 |
163 |
185 |
4 |
54 |
69 |
105 |
120 |
142 |
192 |
11 |
47 |
||
1379 |
15 |
37 |
73 |
95 |
131 |
160 |
175 |
22 |
30 |
80 |
88 |
138 |
153 |
182 |
||
1379 |
157 |
172 |
19 |
41 |
77 |
92 |
128 |
150 |
179 |
26 |
34 |
84 |
85 |
135 |
||
1379 |
96 |
132 |
161 |
169 |
16 |
38 |
74 |
89 |
139 |
154 |
176 |
23 |
31 |
81 |
||
1379 |
42 |
71 |
93 |
129 |
158 |
173 |
20 |
35 |
78 |
86 |
136 |
151 |
180 |
27 |
||
1379 |
170 |
17 |
39 |
75 |
97 |
133 |
155 |
177 |
24 |
32 |
82 |
90 |
140 |
148 |
||
1379 |
130 |
159 |
174 |
21 |
36 |
72 |
94 |
137 |
152 |
181 |
28 |
29 |
79 |
87 |
||
1379 |
76 |
98 |
127 |
156 |
171 |
18 |
40 |
83 |
91 |
134 |
149 |
178 |
25 |
33 |
14x14 magic square
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
1379 |
|||
1379 |
1379 |
|||||||||||||||
1379 |
1 |
51 |
59 |
109 |
117 |
167 |
189 |
8 |
44 |
66 |
102 |
124 |
146 |
196 |
||
1379 |
164 |
186 |
5 |
55 |
63 |
106 |
114 |
143 |
193 |
12 |
48 |
70 |
99 |
121 |
||
1379 |
110 |
118 |
168 |
183 |
2 |
52 |
60 |
103 |
125 |
147 |
190 |
9 |
45 |
67 |
||
1379 |
56 |
57 |
107 |
115 |
165 |
187 |
6 |
49 |
64 |
100 |
122 |
144 |
194 |
13 |
||
1379 |
184 |
3 |
53 |
61 |
111 |
119 |
162 |
191 |
10 |
46 |
68 |
104 |
126 |
141 |
||
1379 |
116 |
166 |
188 |
7 |
50 |
58 |
108 |
123 |
145 |
195 |
14 |
43 |
65 |
101 |
||
1379 |
62 |
112 |
113 |
163 |
185 |
4 |
54 |
69 |
105 |
120 |
142 |
192 |
11 |
47 |
||
1379 |
15 |
37 |
73 |
95 |
131 |
160 |
175 |
22 |
30 |
80 |
88 |
138 |
153 |
182 |
||
1379 |
157 |
172 |
19 |
41 |
77 |
92 |
128 |
150 |
179 |
26 |
34 |
84 |
85 |
135 |
||
1379 |
96 |
132 |
161 |
169 |
16 |
38 |
74 |
89 |
139 |
154 |
176 |
23 |
31 |
81 |
||
1379 |
42 |
71 |
93 |
136 |
158 |
173 |
20 |
35 |
78 |
86 |
129 |
151 |
180 |
27 |
||
1379 |
170 |
17 |
39 |
75 |
97 |
133 |
155 |
177 |
24 |
32 |
82 |
90 |
140 |
148 |
||
1379 |
130 |
159 |
174 |
21 |
36 |
72 |
94 |
137 |
152 |
181 |
28 |
29 |
79 |
87 |
||
1379 |
76 |
98 |
127 |
149 |
171 |
18 |
40 |
83 |
91 |
134 |
156 |
178 |
25 |
33 |
Use the alternative method of Strachey to construct magic squares of order is double odd. See 6x6, 10x10, 14x14, 18x18, 22x22, 26x26 en 30x30