Magic squares of order 4n+2

Produces a magic square of order \(4n+2\) using Conway's “LUX” method

Usage

magic.4np2(m)

Arguments

m

returns a magic square of order \(n=4m+2\) for \(m\geq 1\), using Conway's “LUX” construction

References

https://mathworld.wolfram.com/MagicSquare.html

Author

Robin K. S. Hankin

Note

I am not entirely happy with the method used: it's too complicated

See also

magic

Examples

magic.4np2(1)
#>      [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,]   32   29    4    1   24   21
#> [2,]   30   31    2    3   22   23
#> [3,]   12    9   17   20   28   25
#> [4,]   10   11   18   19   26   27
#> [5,]   13   16   36   33    5    8
#> [6,]   14   15   34   35    6    7
is.magic(magic.4np2(3))
#> [1] TRUE