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MAGIC SQUARES


MAGIC SQUARES will have numbers giving same total row wise, column wise and diagonal wise.

Demo Magic Square 3 by 3 (for many combinations)

Input a Input b Mean x
Row or column or diagonal sum =
x-ax+a-bx+b
x+a+bxx-a-b
x-bx+b-ax+a
Changing a, b to any positive number but a is not equal to b

Another Demo of Magic Square 3 by 3 (for many combinations)

Input a Input b Input c
Row or column or diagonal sum =
abc
x+c-ax=(a+b+c)/3x+a-c
2x-c2x-b2x-a
Changing a, b and c to any positive number. Sum of a+b+c should be multiple of 3. c will be corrected and magic square will be made with new c.

Demo Magic Square 4 by 4 (for many combinations)

Input a b c d Mean x
Row or column or diagonal sum =
x+ax-a-dx+b+dx-b
x-a+cx+dx-cx+a-d
x-b-cx+cx-dx+b+d
x+bx+a-cx-b+cx-a
Changing a, b,c and d to any positive number but all different

Another Demo Magic Square 4 by 4 (for many combinations)

Input a b c d
Row or column or diagonal sum =
abcd
d+1c-1b-3a+3
b-2a+2d+2c-2
c+1d-1a+1b-1
Changing a, b,c and d to any positive number but all different and 1) a less than b-3 2) b less than c and 3) c less than d-1

Magic Square 3 by 3: basic one with sum of 15, sum increased by adding multiple of 3

Multily cell by Add each cell by
Row or column or diagonal sum

Magic Square 4 by 4: basic one with sum of 34, sum increased by adding multiple of 4

Multily cell by Add each cell by
Row or column or diagonal sum

Magic Square 5 by 5: basic one with sum of 65, sum increased by adding multiple of 5

Multily cell by Add each cell by
Row or column or diagonal sum

Magic Square 6 by 6: basic one with sum of 111, sum increased by adding multiple of 6

Multily by Add each cell by
Row or column or diagonal sum

Magic Square 7 by 7: basic one with sum of 175, sum increased by adding multiple of 7

Multily by Add each cell by
Row or column or diagonal sum

Magic Square 8 by 8: basic one with sum of 260, sum increased by adding multiple of 8

Multily by Add each cell by
Row or column or diagonal sum

Magic Square 9 by 9: basic one with sum of 369, sum increased by adding multiple of 9

Multily by Add each cell by
Row or column or diagonal sum

Magic Square 10 by 10: basic one with sum of 505, sum increased by adding multiple of 10

Multily by Add each cell by
Row or column or diagonal sum

Magic Square 11 by 11: basic one with sum of 671, sum increased by adding multiple of 11

Multily by Add each cell by
Row or column or diagonal sum

Magic Square 12 by 12: basic one with sum of 870, sum increased by adding multiple of 12

Multily by Add each cell by
Row or column or diagonal sum