9 阶雪花幻方
这是两个9 阶雪花幻方,它是由马步法构造的。
9 阶自然方阵Ne重排方阵M(行码是: 417852396, 列码是: 231456978)如下:从1 填到 81。
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
29 |
30 |
28 |
31 |
32 |
33 |
36 |
34 |
35 |
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10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
2 |
3 |
1 |
4 |
5 |
6 |
9 |
7 |
8 |
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19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
56 |
57 |
55 |
58 |
59 |
60 |
63 |
61 |
62 |
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28 |
29 |
30 |
31 |
32 |
33 |
34 |
35 |
36 |
65 |
66 |
64 |
67 |
68 |
69 |
72 |
70 |
71 |
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37 |
38 |
39 |
40 |
41 |
42 |
43 |
44 |
45 |
38 |
39 |
37 |
40 |
41 |
42 |
45 |
43 |
44 |
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46 |
47 |
48 |
49 |
50 |
51 |
52 |
53 |
54 |
11 |
12 |
10 |
13 |
14 |
15 |
18 |
16 |
17 |
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55 |
56 |
57 |
58 |
59 |
60 |
61 |
62 |
63 |
20 |
21 |
19 |
22 |
23 |
24 |
27 |
25 |
26 |
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|
64 |
65 |
66 |
67 |
68 |
69 |
70 |
71 |
72 |
74 |
75 |
73 |
76 |
77 |
78 |
81 |
79 |
80 |
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| 73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 47 | 48 | 46 | 49 | 50 | 51 | 54 | 52 | 53 |
用图-1的重排方阵M开始,用行步指令是(-1 ,-3 ), 列步指令为(-3 ,-1 )可作幻方C,及用主马步(-1 , -3 ),转向步为(-4 , -4 ),起点在C(1,2)制作的幻方D:
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15 |
44 |
64 |
60 |
8 |
28 |
51 |
80 |
19 |
C与D都是一个 9 阶完美幻方!C与D的每一行、每一列及所有泛对角线上9数之和都是幻和: 369
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9 |
29 |
49 |
81 |
20 |
13 |
45 |
65 |
58 |
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50 |
79 |
21 |
14 |
43 |
66 |
59 |
7 |
30 |
42 |
71 |
55 |
6 |
35 |
46 |
78 |
26 |
10 |
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|
58 |
9 |
29 |
49 |
81 |
20 |
13 |
45 |
65 |
77 |
25 |
12 |
41 |
70 |
57 |
5 |
34 |
48 |
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|
10 |
42 |
71 |
55 |
6 |
35 |
46 |
78 |
26 |
4 |
36 |
47 |
76 |
27 |
11 |
40 |
72 |
56 |
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|
48 |
77 |
25 |
12 |
41 |
70 |
57 |
5 |
34 |
37 |
69 |
62 |
1 |
33 |
53 |
73 |
24 |
17 |
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|
56 |
4 |
36 |
47 |
76 |
27 |
11 |
40 |
72 |
75 |
23 |
16 |
39 |
68 |
61 |
3 |
32 |
52 |
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|
17 |
37 |
69 |
62 |
1 |
33 |
53 |
73 |
24 |
2 |
31 |
54 |
74 |
22 |
18 |
38 |
67 |
63 |
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|
52 |
75 |
23 |
16 |
39 |
68 |
61 |
3 |
32 |
44 |
64 |
60 |
8 |
28 |
51 |
80 |
19 |
15 |
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63 |
2 |
31 |
54 |
74 |
22 |
18 |
38 |
67 |
79 |
21 |
14 |
43 |
66 |
59 |
7 |
30 |
50 |