Fill nine squares with numbers between 1 to 9

Rule: total of numbers from any side will be equal to 15.

If it have any formula, please tell me.

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- Feb 15th 2011, 10:58 PMwhyonlymeOne more puzzle
Fill nine squares with numbers between 1 to 9

Rule: total of numbers from any side will be equal to 15.

If it have any formula, please tell me. - Feb 16th 2011, 07:31 AMWilmer
- Feb 16th 2011, 12:15 PMSoroban
Here's a method for a 4-by-4 Magic Square.

We have a 4-by-4 grid.

Consider the cells on the two diagonals.

. . $\displaystyle \begin{array}{|c|c|c|c|}\hline

* &&& * \\ \hline

& * & * & \\ \hline

& * & * & \\ \hline

* &&& * \\ \hline \end{array}$

Start at the upper-left and write then numbers one to sixteen in order,

moving to the right and down, but only in the diagonal cells.

. . $\displaystyle \begin{array}{|c|c|c|c|}\hline

{\bf1} &&& {\bf4} \\ \hline

& {\bf6} & {\bf7} & \\ \hline

& {\bf10} & {\bf11} & \\ \hline

{\bf13} &&& {\bf16} \\ \hline \end{array}$

Start at the lower-right and write the numbers 1 to 16 in order,

. . moving left and upward, but only in the empty cells.

. . $\displaystyle \begin{array}{|c|c|c|c|}\hline

1 & {\bf15} & {\bf14} &4 \\ \hline

{\bf12} & 6 & 7 & {\bf9}\\ \hline

{\bf8} & 10 & 11 & {\bf5}\\ \hline

13 & {\bf3} & {\bf2} & 16 \\ \hline \end{array}$

. . . ta-*DAA!*

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

This Magic Square is filled to capacity with the sum of 34.

The four rows, four columns, and two diagonals total 34.

And there are numerous symmetric sets which total 34.

. . . .Central 4 . . . . 4 Corners

. . $\displaystyle \begin{array}{cccc}

* & * & * & * \\

* & @ & @ & * \\

* & @ & @ & * \\

* & * & * & * \end{array} \quad \begin{array}{cccc}

@ & * & * & @ \\

* & * & * & * \\

* & * & * & * \\

@ & * & * & @ \end{array}$

. . $\displaystyle \begin{array}{cccc}

@ & @ & * & * \\

@ & @ & * & * \\

* & * & * & * \\

* & * & * & * \end{array}

\quad \begin{array}{cccc}

* & * & @ & @ \\

* & * & @ & @ \\

* & * & * & * \\

* & * & * & * \end{array}

\quad\begin{array}{cccc}

* & * & * & * \\

* & * & * & * \\

@ & @ & * & * \\

@ & @ & * & * \end{array}

\quad \begin{array}{cccc}

* & * & * & * \\

* & * & * & * \\

* & * & @ & @ \\

* & * & @ & @ \end{array}$

. . $\displaystyle \begin{array}{cccc}

@ & @ & * & * \\

* & * & * & * \\

@ & @ & * & * \\

* & * & * & * \end{array}

\quad \begin{array}{cccc}

* & * & @ & @ \\

* & * & * & * \\

* & * & @ & @ \\

* & * & * & * \end{array}

\quad\begin{array}{cccc}

* & * & * & * \\

@ & @ & * & * \\

* & * & * & * \\

@ & @ & * & * \end{array}

\quad \begin{array}{cccc}

* & * & * & * \\

* & * & @ & @ \\

* & * & * & * \\

* & * & @ & @ \end{array}$

. . $\displaystyle \begin{array}{cccc}

@ & * & @ & * \\

@ & * & @ & * \\

* & * & * & * \\

* & * & * & * \end{array}

\quad \begin{array}{cccc}

* & @ & * & @ \\

* & @ & * & @ \\

* & * & * & * \\

* & * & * & * \end{array}

\quad\begin{array}{cccc}

* & * & * & * \\

* & * & * & * \\

@ & * & @ & * \\

@ & * & @ & * \end{array}

\quad \begin{array}{cccc}

* & * & * & * \\

* & * & * & * \\

* & @ & * & @ \\

* & @ & * & @ \end{array}$

. . $\displaystyle \begin{array}{cccc}

* & @ & * & * \\

* & * & * & @ \\

@ & * & * & * \\

* & * & @ & * \end{array} \quad \begin{array}{cccc}

* & * & @ & * \\

@ & * & * & * \\

* & * & * & @ \\

* & @ & * & * \end{array}$

Did I miss any?

- Feb 16th 2011, 11:15 PMwhyonlyme
I've asked question about 3X3. not about 4X4

- Feb 17th 2011, 02:41 PMtopsquark
- Feb 17th 2011, 07:59 PMwhyonlyme
Can u explain any methods. ??

- Feb 17th 2011, 08:50 PMWilmer
Is this not enough:?

Easy method for the 3x3 magic square - Feb 17th 2011, 08:56 PMtopsquark
- Feb 17th 2011, 08:58 PMtopsquark
And why are you posting this as a "puzzle?" It sounds more like a regular question to me?

-Dan - Feb 17th 2011, 09:27 PMwhyonlyme
- Mar 28th 2011, 09:56 AMInigo
This is an old mentalism trick to convince someone you have super math powers or can read minds.

What is a Magic Square?

Dr. Scott Xavier performs the Magic Square - Apr 29th 2011, 11:41 PMdkmathguy
Yes, I see a formula, lets try a 5x5 though so you could see the pattern

Fill 25 squares with numbers between 1 to 25

Rule: total of numbers from any side will be equal to 65.

Start with 1 in the middle top row. Then 2 should be one column to the right and one row up from 1, since there are no spot there, it goes to the way bottom of the column next right column from 1. Then 3 should be one column to the right and one row up. Then 4 should be one column to the right and one row up, since there are no spot there, it goes to the way left of the next top row where the 3 is at. Then 5 should be one column to the right and one row up from 4. Then 6 should be one column to the right and one row up from 5, but since 1 is there, it go below 5. etc

? / ? / 1 / 8 /15

? / 5 / 7 /14/16

4 / 6 /13/ ? / ?

10/12/ ? / ? / 3

11/ ? / ? / 2 / 9