Magic constant of a magic square or hypercube — magic.constant • magic

Returns the magic constant: that is, the common sum for all rows, columns and (broken) diagonals of a magic square or hypercube

Usage

magic.constant(n,d=2,start=1)

Arguments

n: Order of the square or hypercube
d: Dimension of hypercube, defaulting to d=2 (a square)
start: Start value. Common values are 0 and 1

Details

If n is an integer, interpret this as the order of the square or hypercube; return \(n({\rm start}+n^d-1)/2\).

If n is a square or hypercube, return the magic constant for a normal array (starting at 1) of the same dimensions as n.

Author

Robin K. S. Hankin

See also

Examples

magic.constant(4)
#> [1] 34