Basispatroonmethode (1)
Het is ook mogelijk om een meest perfect magisch 12x12 vierkant te maken vanuit (het patroon van) elk willekeurig gekozen panmagisch 4x4 vierkant. Je hebt hiervoor 9x hetzelfde panmagisch 4x4 vierkant en 2 vaste patronen nodig.
|
1x getal vanuit patroon met 9x hetzelfde 4x4 panmagisch vierkant |
|||||||||||||
|
15 |
6 |
12 |
1 |
15 |
6 |
12 |
1 |
15 |
6 |
12 |
1 |
||
|
4 |
9 |
7 |
14 |
4 |
9 |
7 |
14 |
4 |
9 |
7 |
14 |
||
|
5 |
16 |
2 |
11 |
5 |
16 |
2 |
11 |
5 |
16 |
2 |
11 |
||
|
10 |
3 |
13 |
8 |
10 |
3 |
13 |
8 |
10 |
3 |
13 |
8 |
||
|
15 |
6 |
12 |
1 |
15 |
6 |
12 |
1 |
15 |
6 |
12 |
1 |
||
|
4 |
9 |
7 |
14 |
4 |
9 |
7 |
14 |
4 |
9 |
7 |
14 |
||
|
5 |
16 |
2 |
11 |
5 |
16 |
2 |
11 |
5 |
16 |
2 |
11 |
||
|
10 |
3 |
13 |
8 |
10 |
3 |
13 |
8 |
10 |
3 |
13 |
8 |
||
|
15 |
6 |
12 |
1 |
15 |
6 |
12 |
1 |
15 |
6 |
12 |
1 |
||
|
4 |
9 |
7 |
14 |
4 |
9 |
7 |
14 |
4 |
9 |
7 |
14 |
||
|
5 |
16 |
2 |
11 |
5 |
16 |
2 |
11 |
5 |
16 |
2 |
11 |
||
|
10 |
3 |
13 |
8 |
10 |
3 |
13 |
8 |
10 |
3 |
13 |
8 |
||
|
+ 16x getal vanuit vast patroon 1 |
|||||||||||||
|
0 |
2 |
2 |
0 |
2 |
0 |
0 |
2 |
1 |
1 |
1 |
1 |
||
|
2 |
0 |
0 |
2 |
0 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
||
|
0 |
2 |
2 |
0 |
2 |
0 |
0 |
2 |
1 |
1 |
1 |
1 |
||
|
2 |
0 |
0 |
2 |
0 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
||
|
0 |
2 |
2 |
0 |
2 |
0 |
0 |
2 |
1 |
1 |
1 |
1 |
||
|
2 |
0 |
0 |
2 |
0 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
||
|
0 |
2 |
2 |
0 |
2 |
0 |
0 |
2 |
1 |
1 |
1 |
1 |
||
|
2 |
0 |
0 |
2 |
0 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
||
|
0 |
2 |
2 |
0 |
2 |
0 |
0 |
2 |
1 |
1 |
1 |
1 |
||
|
2 |
0 |
0 |
2 |
0 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
||
|
0 |
2 |
2 |
0 |
2 |
0 |
0 |
2 |
1 |
1 |
1 |
1 |
||
|
2 |
0 |
0 |
2 |
0 |
2 |
2 |
0 |
1 |
1 |
1 |
1 |
||
|
+ 48x getal vanuit vast patroon 2 |
|||||||||||||
|
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
||
|
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
||
|
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
||
|
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
||
|
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
||
|
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
||
|
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
||
|
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
2 |
0 |
||
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
||
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
||
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
||
|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
||
|
|
|||||||||||||
|
= meest perfect 12x12 magisch vierkant |
|||||||||||||
|
15 |
134 |
44 |
97 |
47 |
102 |
12 |
129 |
31 |
118 |
28 |
113 |
||
|
132 |
9 |
103 |
46 |
100 |
41 |
135 |
14 |
116 |
25 |
119 |
30 |
||
|
101 |
48 |
130 |
11 |
133 |
16 |
98 |
43 |
117 |
32 |
114 |
27 |
||
|
42 |
99 |
13 |
136 |
10 |
131 |
45 |
104 |
26 |
115 |
29 |
120 |
||
|
111 |
38 |
140 |
1 |
143 |
6 |
108 |
33 |
127 |
22 |
124 |
17 |
||
|
36 |
105 |
7 |
142 |
4 |
137 |
39 |
110 |
20 |
121 |
23 |
126 |
||
|
5 |
144 |
34 |
107 |
37 |
112 |
2 |
139 |
21 |
128 |
18 |
123 |
||
|
138 |
3 |
109 |
40 |
106 |
35 |
141 |
8 |
122 |
19 |
125 |
24 |
||
|
63 |
86 |
92 |
49 |
95 |
54 |
60 |
81 |
79 |
70 |
76 |
65 |
||
|
84 |
57 |
55 |
94 |
52 |
89 |
87 |
62 |
68 |
73 |
71 |
78 |
||
|
53 |
96 |
82 |
59 |
85 |
64 |
50 |
91 |
69 |
80 |
66 |
75 |
||
|
90 |
51 |
61 |
88 |
58 |
83 |
93 |
56 |
74 |
67 |
77 |
72 |
||
Stel vast dat dit meest perfect 12x12 magisch vierkant ook nog eens de extra magische eigenschap X (ontdekt door Willem Barink) heeft; zie hiervoor uitleg bij het 8x8 magisch vierkant.
Deze methode werkt voor elke grootte is veelvoud van 4 vanaf 8x8. Zie uitgewerkt voor 8x8, 12x12, 16x16 (1a), 16x16 (1b), 16x16 (1c), 20x20, 24x24 (1a), 24x24 (1b), 28x28, 32x32 (1a), 32x32 (1b), 32x32 (1c) en 32x32 (1d)
Als je deze methode iets anders uitwerkt, dan krijg je het perfecte magische vierkant
