# Tag Info

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### Modify a magic square

How about: Check: An answer which is not of this form is:

### Modify a magic square

My Shot: Reasoning. Second try. And maybe the simplest function

You need to:
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### The magic square with a hole

Here are a few from this site. Any magic square with integers 0-15 will work, considering the 0 as a hole. I've chosen four with the 0 in the inner four cells just to be sure it meets your criteria. ...
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### Are there any sets of 9 numbers that can form two essentially distinct magic squares?

Note that any two magic squares with the same numbers must have the same row/column sum. The middle number must be 1/3 of the sum (because the sum of the four lines passing through the center is the ...

### Number of magic squares with magic constant 0?

Take the example square below: -3 2 1 4 0 -4 -1 -2 3 To generate a new square, simply multiply each element of this square by any positive integer. As there ...
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### Can you fill $3 \times 3$ magic square?

There are two ways to do this: the algebraic way and the 'clever' way. The algebraic way The clever way
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I was able to find one of the solutions using "paper and pencil". I stopped searching for more solutions after that. It is certainly very very time consuming. In my explanation I name rows as A,B,C,...
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### Create a magic square of 4-digit numbers

Building on the strategy of Omega Krypton, this is one possibility which also gets the diagonals to sum to the magic total First of all, construct four single digit magic squares... Then concatenate ...
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### Magic square 4x4 that sum to 38

Here's how I would go about it: Firstly, we want to split the numbers in two groups, each having 8 numbers with a total of 76. We are going to use one of the groups for the diagonals, and the other ...
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### A riddle that has been killing me the whole day

The answer is: The formula is: Examples:
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### No ordinary magic square part 2. How many solutions are there?

According to the simple-minded 7-line Python program I just wrote, there are exactly There is at least a 25% chance that I didn't make any stupid blunders. Here's the code: ...
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Solution: Notes:
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### No ordinary magic square part 2. How many solutions are there?

My Python code to iterate the solutions and their respective $8$ sums: Counting them: Some more information:

### Unsolved Mysteries: Magic Square of Squares

Copied entirely from http://mathpages.com/home/kmath417.htm This is not a solution; it is just a MathJAXed version of the link provided. Magic Square of Squares It's an open question whether there ...

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### An Antimagic Square

For any such magic square the sum of all rows, columns and diagonals: $$\sum_{x=0}^7{x}=28$$ Now each number is counted at least twice, once for the row and once for the column. Furthermore each ...

### An Antimagic Square

The unique solutions (ignoring rotations and flips) are: Found through the method of full exhaustion.
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### What type of magic square is this?

The given square $X$ results from the following classical magic square (which arranges the number $1,2,\ldots,25$ in a $5\times5$ square so that every row, every column, and each of the two main ...

### Magic square with equal sums on rows, columns and diagonals

The answer is: Right So, here's an image Here's a description of the working: