magic: Magic Square

Description Usage Arguments Details Value Note Author(s) Examples

View source: R/magic.R

Description

Create a magic square.

Usage

1
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

1
magic(3)

Example output

     [,1] [,2] [,3]
[1,]    8    1    6
[2,]    3    5    7
[3,]    4    9    2

pracma documentation built on Dec. 11, 2021, 9:57 a.m.