magic (version 1.5-9)

panmagic.6npm1: Panmagic squares of order 4n, 6n+1 and 6n-1

Description

Produce a panmagic square of order \(4n\) or \(6n\pm 1\) using a classical method

Usage

panmagic.6npm1(n)
panmagic.6np1(m)
panmagic.6nm1(m)
panmagic.4n(m)

Arguments

m

Function panmagic.6np1(m) returns a panmagic square of order \(n=6m+1\) for \(m\geq 1\), and function panmagic.6nm1(m) returns a panmagic square of order \(n=6m-1\) for \(m\geq 1\), using a classical method.

Function panmagic.4n(m) returns a magic square of order \(n=4m\)

n

Function panmagic.6npm1(n) returns a panmagic square of order \(n\) where \(n=6m\pm 1\)

Details

Function panmagic.6npm1(n) will return a square if n is not of the form \(6m\pm 1\), but it is not necessarily magic.

References

“Pandiagonal magic square.” Wikipedia, The Free Encyclopedia. Wikimedia Foundation, Inc. 13 February 2013

See Also

magic

Examples

# NOT RUN {
panmagic.6np1(1)
panmagic.6npm1(13)

all(sapply(panmagic.6np1(1:3),is.panmagic))

# }