A Magic Square of order n is an arrangement of $n^2$ numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. http://en.wikipedia.org/wiki/Magic_square

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I did a proof for magic square of squares and perfect cuboid.

I did the proof for non-existence of magic square of squares. I am looking great guidelines on preparation and submission for publication. the main areas what I want assistance is 1. the format of ...
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Proof of magic square algorithm?

Proof of magic square algorithm? Why does it work? Where the algorithm to create one is to add the next number above diagonally to the right. If you go off the grid, you wrap, as if he grid ...
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Proof that 12 in a row tic-tac-toe is a tie game?

How can be it proved that tic-tac-toe on an infinite grid (winning with 12 in a row, a column or a diagonal) can always end in a tie (with optimal strategies of both players)? There is a hint: to use ...
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Identity of a Mathematician Mentioned in Euler

I and several others are in the process of translating one of Euler's papers from Latin to English, in particular the one that the Euler Archive lists as E36. In it Euler proves the Chinese Remainder ...
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do you know another Magic Square with this property?

with the repeating digits of $\frac{1}{19} = 0.052631578947368421$ we can construct an exceptional magic square : The number 19 is a cyclic number with a period of 18 before the digits start to ...
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How to prove that a $3\times 3$ Magic Square must have $5$ in its middle cell?

A Magic Square of order $n$ is an arrangement of $n^2$ numbers, usually distinct integers, in a square, such that the $n$ numbers in all rows, all columns, and both diagonals sum to the same constant. ...
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“magic matrix” formula inaccuracy

i was reading Martin Gardner's "hexaflexagons and other mathematical diversions" in which he describes a magic matrix - a different type of magic square in which all numbers of different rows and ...
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Mathematical model for magic square

As I spent some time on magic squares, it seems like the magic squares can be formed only with a odd number of rows/columns? Is it that.? If so why? is there a mathematical model that explains magic ...
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how to make a matrix a magic square?

Suppose I have a matrix $$\begin{pmatrix} & 3 & 6\\ 5 & & 5\\ 4 & 7 & \end{pmatrix}$$ How can I find the three numbers on the main diagonal such that the sum of the ...
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How does the Siamese method to construct any size of n-odd magic squares work?

A Magic Square of order n is an arrangement of $n^2$ numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. To ...
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Given a number $11 \leqslant n\leqslant 99$, how to write a couple of numbers which total to $n$

Yesterday, a friend of mine asked me for a number between 11 and 99 (not 100% sure about the boundaries). I had no idea what he was up to and called 38, about half a minute later he had written down ...
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$4\times4$ magic square magic number possibilities?

How can I find all the different possibilities for the sum of rows/columns/diagonals for a $4\times4$ magic square? I am not sure how to proceed, except by brute force, which is entirely inelegant. I ...
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Anti Magic Square

Are the two examples of $4\times 4$ anti-magic squares currently on Wikipedia actually anti-magic squares under the definition given there? The examples are: $$\left[ \begin {array}{cccc} ...
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$3 \times 3 $ Magic Square of Squares

On picture below is three-by-three magic square in which seven of the entries are squared integers, found by Andrew Bremner of Arizona State University (and independently by Lee Sallows of the ...
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Eigenvector of magic square

I'm trying to show: A "magic square" $A$ is a matrix $n\times n$ with slots $1,2,\cdots, n^2$ such that the sum of the elements of each row (and column) is the same . Prove that $\frac{n(n^2+1)}{2}$ ...
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Fewest required values in magic square?

A magic square of order $n$ is an $n \times n$ grid containing each of the numbers $1,2,\dots,n^2$, so that the numbers in each row, column, and diagonal sum to the same number $n(n^2+1)/2$. This ...