create and investigate magic squares


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Documentation for package ‘magic’ version 1.4-6

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A C D E F G H I L M N O P R S T U

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magic-package Magic squares and hypercubes; arbitrary dimensioned array manipulation

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%eq% Comparison of two magic squares
%ge% Comparison of two magic squares
%gt% Comparison of two magic squares
%le% Comparison of two magic squares
%lt% Comparison of two magic squares
%ne% Comparison of two magic squares

-- A --

adiag Binds arrays corner-to-corner
allsubhypercubes Subhypercubes of magic hypercubes
allsums Row, column, and two diagonal sums of arrays
another_incidence Random latin squares
another_latin Random latin squares
apad Pad arrays
apl Replacements for APL functions take and drop
apldrop Replacements for APL functions take and drop
apldrop<- Replacements for APL functions take and drop
apltake Replacements for APL functions take and drop
apltake<- Replacements for APL functions take and drop
aplus Generalized array addition
arev Reverses some dimensions; a generalization of rev
arot Rotates an array about two specified dimensions
arow Generalized row and col
as.standard Standard form for magic squares
ashift Shift origin of arrays and vectors

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circulant Circulant matrices of any order
cube2 A pantriagonal magic cube

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diag.off Extracts broken diagonals
do.index Apply a function to array element indices

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eq Comparison of two magic squares

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fnsd First non-singleton dimension
force.integer Integerize array elements
Frankenstein A perfect magic cube due to Frankenstein

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ge Comparison of two magic squares
gt Comparison of two magic squares

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hadamard Hadamard matrices
hendricks A perfect magic cube due to Hendricks
hudson Pandiagonal magic squares due to Hudson

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incidence Random latin squares
inc_to_inc Random latin squares
is.2x2.correct Various tests for the magicness of a square
is.antimagic Various tests for the magicness of a square
is.associative Various tests for the magicness of a square
is.bree.correct Various tests for the magicness of a square
is.centrosymmetric Is a square matrix square palindromic?
is.circulant Circulant matrices of any order
is.diagonally.correct magic hypercubes
is.hadamard Hadamard matrices
is.incidence Random latin squares
is.incidence.improper Random latin squares
is.latin Various tests for the magicness of a square
is.latinhypercube magic hypercubes
is.magic Various tests for the magicness of a square
is.magichypercube magic hypercubes
is.mostperfect Various tests for the magicness of a square
is.normal Various tests for the magicness of a square
is.ok does a vector have the sum required to be a row or column of a magic square?
is.pandiagonal Various tests for the magicness of a square
is.panmagic Various tests for the magicness of a square
is.perfect magic hypercubes
is.persymmetric Is a square matrix square palindromic?
is.sam Various tests for the magicness of a square
is.semimagic Various tests for the magicness of a square
is.semimagic.default Various tests for the magicness of a square
is.semimagichypercube magic hypercubes
is.sparse Various tests for the magicness of a square
is.square.palindromic Is a square matrix square palindromic?
is.stam Various tests for the magicness of a square
is.standard Standard form for magic squares
is.totally.antimagic Various tests for the magicness of a square

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latin Random latin squares
le Comparison of two magic squares
lozenge Conway's lozenge algorithm for magic squares
lt Comparison of two magic squares

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magic Creates magic squares
magic.2np1 Magic squares of odd order
magic.4n Magic squares of order 4n
magic.4np2 Magic squares of order 4n+2
magic.8 Regular magic squares of order 8
magic.constant Magic constant of a magic square
magic.prime Magic squares prime order
magic.product Product of two magic squares
magic.product.fast Product of two magic squares
magiccube.2np1 Magic cubes of order 2n+1
magiccubes Magic cubes of order 3
magichypercube.4n Magic hypercubes of order 4n
magicplot Joins consecutive numbers of a magic square.
minmax are all elements of a vector identical?

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ne Comparison of two magic squares
notmagic.2n An unmagic square

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Ollerenshaw A most perfect square due to Ollerenshaw

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panmagic.4 Panmagic squares of order 4
panmagic.8 Panmagic squares of order 8
perfectcube5 A perfect magic cube of order 5
perfectcube6 A perfect cube of order 6
process Force index arrays into range

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recurse Recursively apply a permutation
rlatin Random latin squares

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sam Sparse antimagic squares
shift Shift origin of arrays and vectors
strachey Strachey's algorithm for magic squares
subsums Sums of submatrices
sylvester Hadamard matrices

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take Replacements for APL functions take and drop
transf Frenicle's equivalent magic squares

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unincidence Random latin squares