magic.constant {magic}

Magic constant of a magic square or hypercube

Description

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(s)

Robin K. S. Hankin

See Also

magic

Examples

magic.constant(4)