The solution for the

Demonstration for the Magic Square 4x4.
(n=4, sum=34)

1. Divide the square into 9 areas as shown below.

   
   

   These squares(n=4,8,12,..) can be divided by 1 : 2 : 1.

2. Write the numbers in their corresponding boxes of areas 'A, C, E, G and I' painted dark gray.

    1  [_] [_]  4
   [_]  6   7  [_]
   [_] 10 11 [_]
    13 [_] [_] 16

3. Place the remaining numbers in reverse corresponding order from right to left starting from the bottom.

    1  15 14  4
   12  6   7   9
    8  10 11  5
   13  3   2  16

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Check the Magic Square 8x8 shown below.
(n=8, sum=260)

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

The analysis for a multiple of 4 page shows more deep and various 8x8 Magic Squares.

Magic Square World

|| Solution(n=3,5,..) || Solution(n=6,10,..) || Source Program || Samples ||

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Shin, Kwon Young - brainstm@chollian.net