R: Magic Square

magic {pracma} | R Documentation

## Magic Square

### Description

Create a magic square.

### Usage

    magic(n)

### Arguments

`n` | numeric scalar specifying dimensions for the result; `n` must be a scalar greater than or equal to 3.

### Details

A magic square is a square matrix where all row and column sums and also the diagonal sums all have the same value.

This value or the characteristic sum for a magic square of order n is sum(1:n^2)/n.

### Value

Returns an `n`-by-`n` matrix constructed from the integers `1` through `N^2` with equal row and column sums.

### Note

A magic square, scaled by its magic sum, is doubly stochastic.

### Author(s)

P. Roebuck roebuck@mdanderson.org for the first R version in the package ‘matlab’. The version here is more R-like.

### Examples

    magic(3)

[Package pracma version 2.0.4 Index]