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Perfect magic squares
Each magic sum
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What is the key to produce a 4x4 magic square for each random chosen magic sum?
 
 
The basic pattern is the magic square of 0 (as magic sum).
 
 
22
14
-46
10
-30
-6
6
30
26
2
-2
-26
-18
-10
42
-14
 
 
If you choose as magic sum 403, then 403 : 4 = 100 remainder 3.
Add 100 to each cell of the basic pattern of 0 and also add additionally the remainder number (3) to each yellow
 marked cell.
 
 
125
114
54
110
70
94
109
130
126
102
98
77
82
93
142
86
 
 
This square is not panmagic, but has other additional magic features (for example the sum of the digits of the four
2x2 subsquares, the four horizontal twisted rows and the four vertical “ears” = 403). Check it out for yourself.



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Perfect magic squares|Contact / guestbook|3x3 magic square|3x3 magic square, explanation|Sudoku method (1)|Sudoku method (2)|Sudoku method (3)|Pan magic 4x4 square|Pan magic 4x4 square, explanation|Transformation method|Pan magic 5x5 square|Pan magic 5x5 square, explanation|6x6 magic square|Most perfect magic squares, explanation|Khajuraho method|Khajuraho method, explanation|Basic pattern method (1)|Basic pattern method (2)|Basic pattern method (3)|Analysis Franklin panm. 8x8|Basic key method (1)|Basic key method (2)|pan magic 9x9 square|Pan magic 15x15 square|The perfect magic square|Ultra pan magic 25x25 square|Pan magic 27x27 square|Pan magic 35x35 square|Bordered squares|Inlaid square|Each magic sum|Water retention challenge|Most magic 4x4x4 cube|Perfect magic 8x8x8 cube|Favorite Links