9x9 magic square

Baselines to construct panmagic 9x9 squares

 

Dwane Campbell send me an EXCEL sheet with 72 baselines (starting with 0) to construct 9x9 panmagic squares.

 

 

Baselines (starting with 0)  
1 0 0 0 1 1 1 2 2 2
2 0 0 0 1 1 2 2 2 1
3 0 0 0 1 2 1 2 1 2
4 0 0 0 1 2 2 2 1 1
5 0 0 0 2 1 1 1 2 2
6 0 0 0 2 1 2 1 2 1
7 0 0 0 2 2 1 1 1 2
8 0 0 0 2 2 2 1 1 1
9 0 0 1 1 1 0 2 2 2
10 0 0 1 1 1 2 2 2 0
11 0 0 1 1 2 0 2 1 2
12 0 0 1 1 2 2 2 1 0
13 0 0 1 2 1 0 1 2 2
14 0 0 1 2 1 2 1 2 0
15 0 0 1 2 2 0 1 1 2
16 0 0 1 2 2 2 1 1 0
17 0 0 2 1 1 0 2 2 1
18 0 0 2 1 1 1 2 2 0
19 0 0 2 1 2 0 2 1 1
20 0 0 2 1 2 1 2 1 0
21 0 0 2 2 1 0 1 2 1
22 0 0 2 2 1 1 1 2 0
23 0 0 2 2 2 0 1 1 1
24 0 0 2 2 2 1 1 1 0
25 0 1 0 1 0 1 2 2 2
26 0 1 0 1 0 2 2 2 1
27 0 1 0 1 2 1 2 0 2
28 0 1 0 1 2 2 2 0 1
29 0 1 0 2 0 1 1 2 2
30 0 1 0 2 0 2 1 2 1
31 0 1 0 2 2 1 1 0 2
32 0 1 0 2 2 2 1 0 1
33 0 1 1 1 0 0 2 2 2
34 0 1 1 1 0 2 2 2 0
35 0 1 1 1 2 0 2 0 2
36 0 1 1 1 2 2 2 0 0
37 0 1 1 2 0 0 1 2 2
38 0 1 1 2 0 2 1 2 0
39 0 1 1 2 2 0 1 0 2
40 0 1 1 2 2 2 1 0 0
41 0 1 2 1 0 0 2 2 1
42 0 1 2 1 0 1 2 2 0
43 0 1 2 1 2 0 2 0 1
44 0 1 2 1 2 1 2 0 0
45 0 1 2 2 0 0 1 2 1
46 0 1 2 2 0 1 1 2 0
47 0 1 2 2 2 0 1 0 1
48 0 1 2 2 2 1 1 0 0
49 0 2 0 1 0 1 2 1 2
50 0 2 0 1 0 2 2 1 1
51 0 2 0 1 1 1 2 0 2
52 0 2 0 1 1 2 2 0 1
53 0 2 0 2 0 1 1 1 2
54 0 2 0 2 0 2 1 1 1
55 0 2 0 2 1 1 1 0 2
56 0 2 0 2 1 2 1 0 1
57 0 2 1 1 0 0 2 1 2
58 0 2 1 1 0 2 2 1 0
59 0 2 1 1 1 0 2 0 2
60 0 2 1 1 1 2 2 0 0
61 0 2 1 2 0 0 1 1 2
62 0 2 1 2 0 2 1 1 0
63 0 2 1 2 1 0 1 0 2
64 0 2 1 2 1 2 1 0 0
65 0 2 2 1 0 0 2 1 1
66 0 2 2 1 0 1 2 1 0
67 0 2 2 1 1 0 2 0 1
68 0 2 2 1 1 1 2 0 0
69 0 2 2 2 0 0 1 1 1
70 0 2 2 2 0 1 1 1 0
71 0 2 2 2 1 0 1 0 1
72 0 2 2 2 1 1 1 0 0

 

 

Take 1x number baseline 61)
0 2 1 2 0 0 1 1 2
1 0 2 0 1 1 2 2 0
2 1 0 1 2 2 0 0 1
0 2 1 2 0 0 1 1 2
1 0 2 0 1 1 2 2 0
2 1 0 1 2 2 0 0 1
0 2 1 2 0 0 1 1 2
1 0 2 0 1 1 2 2 0
2 1 0 1 2 2 0 0 1
                 
                 
+3x number (baseline 61)  
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
                 
                 
+ 9x number (baseline 61)  
0 2 1 2 0 0 1 1 2
2 1 0 1 2 2 0 0 1
1 0 2 0 1 1 2 2 0
0 2 1 2 0 0 1 1 2
2 1 0 1 2 2 0 0 1
1 0 2 0 1 1 2 2 0
0 2 1 2 0 0 1 1 2
2 1 0 1 2 2 0 0 1
1 0 2 0 1 1 2 2 0
                 
                 
+ 27x number (baseline 61) +1
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
                 
                 
= panmagic 9x9 square    
1 78 44 21 58 34 11 68 54
80 37 6 70 47 23 63 30 13
42 8 73 32 18 66 49 25 56
61 48 14 81 28 4 71 38 24
20 67 36 10 77 53 3 60 43
12 59 52 2 69 45 19 76 35
31 27 65 51 7 55 41 17 75
50 16 57 40 26 74 33 9 64
72 29 22 62 39 15 79 46 5

 

 

This 9x9 magic square is panmagic and 3x3 compact.

 

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9x9, basislines panmagic 9x9 square.xls
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9x9 magic square