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magic.package

Magic squares and hypercubes; arbitrary dimensioned array manipulation


Description

A collection of efficient, vectorized algorithms for the creation and investigation of magic squares and hypercubes, including a variety of functions for the manipulation and analysis of arbitrarily dimensioned arrays.

The package includes methods for creating normal magic squares of any order greater than 2. The ultimate intention is for the package to be a computerized embodiment all magic square knowledge, including direct numerical verification of properties of magic squares (such as recent results on the determinant of odd-ordered semimagic squares).

Author(s)

Robin K. S. Hankin rksh1@cam.ac.uk

Examples

magic(5)

a <-  magiccube.2np1(1)
adiag(1,a)
apad(a,2,1)
allsubhypercubes(a)
arev(a)
apltake(a,c(2,2))
arot(a)
arow(a,1)

magic

Create and Investigate Magic Squares

v1.5-9
GPL-2
Authors
Robin K. S. Hankin
Initial release
2018-09-14

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