Questions tagged [magic-square]

A puzzle related to magic squares: grids of integers where all rows, columns, and diagonals have the same sum.

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3
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1answer
178 views

This four-by-four Magic Square uses all the integers from -7 to 8. Complete the square. More Magic Squares!

This four-by-four Magic Square uses all the integers from -7 to 8. Complete the square. This is what has been given so far: -7 _ _ _ _ -2 _ +1 _ _ +3 _ +5 _ _ _ Please Help. Thank you
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3answers
469 views

Magic cutting squares with given sum

You meet a guy on the road. The following conversation follows: He: Let's play a game. Give me any natural number from $3$ to $10$. I'll call this number the grid size You: Okay, $4$. (...
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1answer
381 views

Albrecht Durer Inspired Magic Square

A magic square is an n-dimensional matrix in which each row, column, and main diagonal sums to the same 'magic number' (denoted by s). A normal magic square uses each of the numbers from 1 to n ...
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2answers
232 views

Magical Knight Moves with Effortless Ease in his Magical Kingdom

Magical Knight knows every Square of his Magical Kingdom. In many respects, he is like any other knight...Literary,Prime, Normal(makes same allowed chess moves). He is people Knight . As he traverses ...
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1answer
323 views

I am not sure if this is related to magic squares but is something that is unanswered in my mind since I was a kid

It is easy to make a matrix of squares, being the same up as down and and odd number of rows and columns from 9 - 25 - 81 etc and have have equal amounts for each row and column. My question is simply ...
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1answer
238 views

Create a 4-by-4 regular square

We can say that an $n$-by-$n$ square is regular provided that: Each of the integers from $0$ to $n^2 − 1$ appears in exactly one cell, and each cell contains only one integer (so that the square is ...
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4answers
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Fill 3x3 magic square with distinct numbers 1..60 summing up to 69

I have to fill a whole 3x3 grid in such a way that the sum of each row, column, and main diagonal is 69. I couldn't find any logic to fill it up. I have to use distinct numbers from 1 to 60 for this. ...
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3answers
4k views

Sum of numbers in any row, column or diagonal is 50

In the following grid; Sum of numbers in any row is equal to 50. Sum of numbers in any column is equal to 50. Sum of numbers in any diagonal is equal to 50. Numbers in any two cells cannot be equal ...
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1answer
179 views

Create a 3x3 Magic Square that uses integers from -10 to -2

I've never used this before but i'm having trouble with this. Create a 3x3 Magic Square that uses integers from -10 to -2. By the way, this is a weird magic square since diagonals don't need to ...
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1answer
881 views

Magic square with equal sums on rows, columns and diagonals

. Transcription: ...
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2answers
297 views

Warped magic squares

A $3\times3$ grid contains altogether six squares that are formed by its nine entries: there are five squares whose sides are parallel to the sides of the grid (four small ones and a big one), and ...
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2answers
358 views

Magic Penteract!

(Don't worry, this is the last magic square themes question I'll be posting (as far as I know), so I picked a challenging one!) First off, let's define what a magic square is; A magic square is an ...
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2answers
234 views

modified 3x3 panmagic squares

This is a modified 3x3 panmagic squares. The square is divided into 2 triangles. Numbers 1 to 9 is arranged to upper triangles. Numbers 10 to 18 is arranged to lower triangles. All rows, all columns, ...
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0answers
55 views

Total number of squares + inside square [duplicate]

How to calculate total number of squares if n×n square box available. Need to calculate 1×1, 2×2 up to n.
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2answers
4k views

Number of magic squares with magic constant 0?

How can we determine the number of magic squares with magic constant 0?
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2answers
307 views

Magic Matrices?

Can you determine any number of magic squares, that when treated as matrices, can be applied mathematical operations to return a new magic-matrix? You cannot use the same matrix twice! The answer ...
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2answers
160 views

What is the objective function of the magic square? [closed]

If I wanted to describe it as a minimum problem, where I want to identify the minimum value of the constant for a certain matrix order, how should I do it?
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0answers
105 views

Set of numbers generated from multiplying across every row and column of a grid using numbers 1,…9 [duplicate]

Imagine we start with a 3 by 3 square using the numbers 1,...,9. We then multiply the numbers across each row and note their products as the set {x1, x2, x3}. We then multiply the numbers across each ...
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1answer
131 views

Not Regular This Time

We can say that an $n$-by-$n$ square is regular provided that: Each of the integers from $0$ to $n^2 − 1$ appears in exactly one cell, and each cell contains only one integer (so that the square is ...
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1answer
847 views

Magic Square using numbers 4-12 [duplicate]

I have to make a magic square using number 4-12.
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2answers
850 views

Magic square using consecutive odd numbers -5 through 11

Using consecutive odd numbers from negative five to eleven, make a 3x3 magic square
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1answer
650 views

How Many Undefined Magic Constants are there?

Magic Square: An nxn square where every horizontal,vertical, and diagonal line all add up to the same number. Magic Constant: The number which every line with a magic square adds up to So most magic ...

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