Package: magic 1.6-1-1

magic: Create and Investigate Magic Squares

A collection of functions for the manipulation and analysis of arbitrarily dimensioned arrays. The original motivation for the package was the development of efficient, vectorized algorithms for the creation and investigation of magic squares and high-dimensional magic hypercubes.

Authors:Robin K. S. Hankin [aut, cre]

magic_1.6-1-1.tar.gz
magic_1.6-1-1.zip(r-4.7)magic_1.6-1-1.zip(r-4.6)magic_1.6-1-1.zip(r-4.5)
magic_1.6-1-1.tgz(r-4.6-any)magic_1.6-1-1.tgz(r-4.5-any)
magic_1.6-1-1.tar.gz(r-4.7-any)magic_1.6-1-1.tar.gz(r-4.6-any)
magic_1.6-1-1.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
magic/json (API)

# Install 'magic' in R:

install.packages('magic', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/robinhankin/magic/issues

Pkgdown/docs site:https://robinhankin.github.io

Datasets:

cube2 - A pantriagonal magic cube
Frankenstein - A perfect magic cube due to Frankenstein
hendricks - A perfect magic cube due to Hendricks
magiccubes - Magic cubes of order 3
Ollerenshaw - A most perfect square due to Ollerenshaw
perfectcube5 - A perfect magic cube of order 5
perfectcube6 - A perfect cube of order 6

On CRAN:

11.34 score 4 stars 264 packages 415 scripts 28k downloads 4 mentions 107 exports 1 dependencies

Last updated from:8f4f1630bf. Checks:9 OK. Indexed: yes.

Target	Result	Time
linux-devel-x86_64	OK	113
source / vignettes	OK	158
linux-release-x86_64	OK	108
macos-release-arm64	OK	100
macos-oldrel-arm64	OK	99
windows-devel	OK	87
windows-release	OK	72
windows-oldrel	OK	73
wasm-release	OK	84

Exports:%eq%%ge%%gt%%le%%lt%%ne%adiag adiag2 allsubhypercubes allsums another_incidence another_latin apad apldrop apldrop<-apltake apltake<-aplus arev arot arow as.standard ashift bernhardsson bernhardssonA bernhardssonB cilleruelo circulant diag.off do.index eq fnsd force.integer ge gt hudson inc_to_inc incidence is.2x2.correct is.alicehypercube is.antimagic is.associative is.bree.correct is.centrosymmetric is.circulant is.diagonally.correct is.hadamard is.heterosquare is.incidence is.incidence.improper is.latin is.latinhypercube is.magic is.magichypercube is.mostperfect is.normal is.ok is.pandiagonal is.panmagic is.perfect is.persymmetric is.sam is.semimagic is.semimagic.default is.semimagichypercube is.sparse is.square.palindromic is.stam is.standard is.standard.toroidal is.totally.antimagic is.totally.heterosquare latin le lozenge lt magic magic.2np1 magic.4n magic.4np2 magic.8 magic.constant magic.prime magic.product magic.product.fast magiccube.2np1 magichypercube.4n magicplot minmax ne notmagic.2n panmagic.4 panmagic.4n panmagic.6nm1 panmagic.6np1 panmagic.6npm1 panmagic.8 process recurse rlatin sam shift strachey subsums sylvester transf unincidence

Dependencies:abind

A vignette for the magic package

Overview | Introduction | Magic hypercubes | Conclusions

Rendered frommagic.Rnwusingutils::Sweave

Last update: 2024-08-13
Started: 2022-02-07

Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
Create and Investigate Magic Squares	magic-package
Binds arrays corner-to-corner	adiag adiag2
Subhypercubes of magic hypercubes	allsubhypercubes
Row, column, and two diagonal sums of arrays	allsums
Pad arrays	apad
Replacements for APL functions take and drop	apl apldrop apldrop<- apltake apltake<- take
Generalized array addition	aplus
Reverses some dimensions; a generalization of rev	arev
Rotates an array about two specified dimensions	arot
Generalized row and col	arow
Standard form for magic squares	as.standard is.standard is.standard.toroidal
A class of multiplicative magic squares due to Cilleruelo and Luca	cilleruelo
Circulant matrices of any order	circulant is.circulant
A pantriagonal magic cube	cube2
Extracts broken diagonals	diag.off
Apply a function to array element indices	do.index
Comparison of two magic squares	%eq% %ge% %gt% %le% %lt% %ne% eq ge gt le lt ne
First non-singleton dimension	fnsd
Integerize array elements	force.integer
A perfect magic cube due to Frankenstein	Frankenstein
Hadamard matrices	hadamard is.hadamard sylvester
A perfect magic cube due to Hendricks	hendricks
Pandiagonal magic squares due to Hudson	hudson
Various tests for the magicness of a square	is.2x2.correct is.antimagic is.associative is.bree.correct is.heterosquare is.latin is.magic is.mostperfect is.normal is.pandiagonal is.panmagic is.regular is.sam is.semimagic is.semimagic.default is.sparse is.stam is.totally.antimagic is.totally.heterosquare is.ultramagic
magic hypercubes	is.alicehypercube is.diagonally.correct is.latinhypercube is.magichypercube is.nasik is.perfect is.semimagichypercube
Does a vector have the sum required to be a row or column of a magic square?	is.ok
Is a square matrix square palindromic?	is.centrosymmetric is.persymmetric is.square.palindromic
Random latin squares	another_incidence another_latin incidence inc_to_inc is.incidence is.incidence.improper latin rlatin unincidence
Conway's lozenge algorithm for magic squares	lozenge
Creates magic squares	magic
Magic squares of odd order	magic.2np1
Magic squares of order 4n	magic.4n
Magic squares of order 4n+2	magic.4np2
Regular magic squares of order 8	magic.8
Magic constant of a magic square or hypercube	magic.constant
Magic squares prime order	magic.prime
Product of two magic squares	magic.product magic.product.fast
Magic cubes of order 2n+1	magiccube.2np1
Magic cubes of order 3	magiccubes
Magic hypercubes of order 4n	magichypercube.4n
Joins consecutive numbers of a magic square.	magicplot
are all elements of a vector identical?	minmax
An unmagic square	notmagic.2n
N queens problem	bernhardsson bernhardssonA bernhardssonB nqueens
A most perfect square due to Ollerenshaw	Ollerenshaw
Panmagic squares of order 4	panmagic.4
Panmagic squares of order 4n, 6n+1 and 6n-1	panmagic.4n panmagic.6nm1 panmagic.6np1 panmagic.6npm1
Panmagic squares of order 8	panmagic.8
A perfect magic cube of order 5	perfectcube5
A perfect cube of order 6	perfectcube6
Force index arrays into range	process
Recursively apply a permutation	recurse
Sparse antimagic squares	sam
Shift origin of arrays and vectors	ashift shift
Strachey's algorithm for magic squares	strachey
Sums of submatrices	subsums
Frenicle's equivalent magic squares	transf