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

8x8, 6x6 in 8x8.xlsx
Microsoft Excel werkblad 15.3 KB