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Construct a magic square by using numbers form 1 to 9​

User Ikbear
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Answer:

Hi,

this is a method for magic square with odd order (3,5,7,9,...)

Explanation:

beacaus i can not write this in English, here is a g o o g l e's traduction of my answer in french:

"A magic square containing the naturals from 1 to 9 can be constructed by the method of the Marquis de Liouville.

Just place the numbers successively.

Initially we will place ourselves in the middle of the last line (line 3, column 2: we write 1).

We move along the downward diagonal by imagining that the magic square is built on a sphere.

We therefore descend from a line 3+1 = line 4 which therefore does not exist line 1

column 2+1=3: we will place 2 there.

We continue this method as long as we have not reached the order of the magic square (here 3)

When the arrives at a number multiple of the order, one moves on the same column from 1 upwards."

I note (line, column)

(3,2):1

(1,3):2

(2,1):3

(1,1):4

(2,2):5

(3,3):6

(2,3):7

(3,1):8

(1,2):9

thus:

[ [4,9,2],

[3,5,7],

[8,1,6] ]

Magic sum=3*5=15 (order* mean of numbers(1->9))

User Fadi Obaji
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