# Category:Magic Squares

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This category contains results about Magic Squares.

Definitions specific to this category can be found in Definitions/Magic Squares.

A **magic square** is an arrangement of $n^2$ numbers into an $n \times n$ square array such that:

- the sum of the elements of each row
- the sum of the elements in each column
- the sum of the elements along each diagonal

are the same.

When the elements are not specified, it is conventional for them to be the first $n^2$ (strictly) positive integers.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

## Pages in category "Magic Squares"

The following 27 pages are in this category, out of 27 total.

### M

- Magic Constant of Magic Square
- Magic Constant of Magic Square/Sequence
- Magic Constant of Order 3 Magic Square
- Magic Constant of Order 4 Magic Square
- Magic Constant of Order 5 Magic Square
- Magic Square of Order 3 is Unique
- Magic Square/Examples
- Magic Square/Examples/Order 1
- Magic Square/Examples/Order 3
- Magic Square/Examples/Order 3/Also known as
- Magic Square/Examples/Order 4
- Magic Square/Examples/Order 4/Alfred Moessner
- Magic Square/Examples/Order 4/Dürer
- Magic Square/Examples/Order 5

### P

### S

- Smallest Magic Square is of Order 3
- Sum of Cubes on Diagonals of Moessner's Order 4 Magic Square
- Sum of Squares on Pairs of Rows and Columns of Moessner's Order 4 Magic Square
- Sum of Terms of Magic Square
- Sum of Terms of Magic Square/Sequence
- Sums of Squares in Lines of Order 3 Magic Square
- Sums of Squares of Diagonals of Order 3 Magic Square
- Sums of Squares of Lines of Order 3 Magic Square