Package index • magic

All functions

Frankenstein: A perfect magic cube due to Frankenstein

Ollerenshaw: A most perfect square due to Ollerenshaw

adiag(): Binds arrays corner-to-corner

allsubhypercubes(): Subhypercubes of magic hypercubes

allsums(): Row, column, and two diagonal sums of arrays

apad(): Pad arrays

apldrop() `apldrop<-`() apltake() `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() is.standard(): Standard form for magic squares

cilleruelo(): A class of multiplicative magic squares due to Cilleruelo and Luca

circulant() is.circulant(): Circulant matrices of any order

cube2: A pantriagonal magic cube

diag.off(): Extracts broken diagonals

do.index(): Apply a function to array element indices

eq() ne() gt() lt() ge() le() `%eq%` `%ne%` `%gt%` `%lt%` `%ge%` `%le%`: Comparison of two magic squares

fnsd(): First non-singleton dimension

force.integer(): Integerize array elements

sylvester() is.hadamard(): Hadamard matrices

hendricks: A perfect magic cube due to Hendricks

hudson(): Pandiagonal magic squares due to Hudson

is.magic() is.panmagic() is.pandiagonal() is.semimagic() is.semimagic.default() is.associative() is.normal() is.sparse() is.mostperfect() is.2x2.correct() is.bree.correct() is.latin() is.antimagic() is.totally.antimagic() is.heterosquare() is.totally.heterosquare() is.sam() is.stam(): Various tests for the magicness of a square

is.semimagichypercube() is.diagonally.correct() is.magichypercube() is.perfect() is.latinhypercube() is.alicehypercube(): magic hypercubes

is.ok(): does a vector have the sum required to be a row or column of a magic square?

is.square.palindromic() is.centrosymmetric() is.persymmetric(): Is a square matrix square palindromic?

incidence() is.incidence() is.incidence.improper() unincidence() inc_to_inc() another_latin() another_incidence() rlatin(): Random latin squares

lozenge(): Conway's lozenge algorithm for magic squares

magic-package: Create and Investigate 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(): Creates magic squares

magic.constant(): Magic constant of a magic square or hypercube

magic.prime(): Magic squares prime order

magic.product() 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?

notmagic.2n(): An unmagic square

bernhardsson() bernhardssonA() bernhardssonB(): N queens problem

panmagic.4(): Panmagic squares of order 4

panmagic.6npm1() panmagic.6np1() panmagic.6nm1() panmagic.4n(): Panmagic squares of order 4n, 6n+1 and 6n-1

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

recurse(): Recursively apply a permutation

sam(): Sparse antimagic squares

shift() ashift(): Shift origin of arrays and vectors

strachey(): Strachey's algorithm for magic squares

subsums(): Sums of submatrices

transf(): Frenicle's equivalent magic squares