6x6 in 8x8 magic square (1)
See for detailed explanation, webpage pan 4x4 in 6x6
Take a 6x6 magic square and add 14 to all numbers to get the 6x6 inlay.
6x6 magic square +14 = 6x6 inlay
|
8 |
35 |
1 |
28 |
6 |
33 |
22 |
49 |
15 |
42 |
20 |
47 |
||
|
26 |
17 |
19 |
10 |
24 |
15 |
40 |
31 |
33 |
24 |
38 |
29 |
||
|
3 |
30 |
32 |
5 |
7 |
34 |
17 |
44 |
46 |
19 |
21 |
48 |
||
|
21 |
12 |
23 |
14 |
25 |
16 |
35 |
26 |
37 |
28 |
39 |
30 |
||
|
31 |
4 |
9 |
36 |
29 |
2 |
45 |
18 |
23 |
50 |
43 |
16 |
||
|
22 |
13 |
27 |
18 |
20 |
11 |
36 |
27 |
41 |
32 |
34 |
25 |
Use the table below to construct the 8x8 border.
N.B.: 1 up to 14 + 7 + 8 = 120; use all numbers from 1 up to 14 and 7 and 8 extra. Put 7 and 8 each in one sequence, both in one sequence and none in one sequence; The sum of each sequence of (14+2)/4 is 4 numbers must be 120/4 is 30.
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
120 |
|
|
2 |
|
|
|
|
7 |
|
9 |
|
|
12 |
|
|
30 |
|
1 |
|
|
|
|
|
7 |
8 |
|
|
|
|
|
14 |
30 |
|
|
|
3 |
|
|
6 |
|
8 |
|
|
|
|
13 |
|
30 |
|
|
|
|
4 |
5 |
|
|
|
|
10 |
11 |
|
|
|
30 |
The border is:
|
7 |
1 |
14 |
61 |
60 |
55 |
54 |
8 |
|
62 |
|
|
|
|
|
|
3 |
|
59 |
|
|
6 |
||||
|
52 |
|
|
13 |
||||
|
12 |
|
|
53 |
||||
|
9 |
|
|
56 |
||||
|
2 |
|
|
|
|
|
|
63 |
|
57 |
64 |
51 |
4 |
5 |
10 |
11 |
58 |
The final result is:
6x6 in 8x8 magic square
|
7 |
1 |
14 |
61 |
60 |
55 |
54 |
8 |
|
62 |
22 |
49 |
15 |
42 |
20 |
47 |
3 |
|
59 |
40 |
31 |
33 |
24 |
38 |
29 |
6 |
|
52 |
17 |
44 |
46 |
19 |
21 |
48 |
13 |
|
12 |
35 |
26 |
37 |
28 |
39 |
30 |
53 |
|
9 |
45 |
18 |
23 |
50 |
43 |
16 |
56 |
|
2 |
36 |
27 |
41 |
32 |
34 |
25 |
63 |
|
57 |
64 |
51 |
4 |
5 |
10 |
11 |
58 |
Use this method to construct inlaid magic squares of even order. See 6x6, 8x8, 10x10, 12x12, 14x14, 16x16, 18x18, 20x20, 22x22, 24x24, 26x26, 28x28, 30x30 & 32x32
