# magic v1.5-9

Monthly downloads

## Create and Investigate Magic Squares

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). Some antimagic
functionality is included. The package also
serves as a rebuttal to the often-heard comment "I thought R
was just for statistics".

## Functions in magic

Name | Description | |

circulant | Circulant matrices of any order | |

arow | Generalized row and col | |

adiag | Binds arrays corner-to-corner | |

magic.constant | Magic constant of a magic square or hypercube | |

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

hudson | Pandiagonal magic squares due to Hudson | |

magichypercube.4n | Magic hypercubes of order 4n | |

is.magic | Various tests for the magicness of a square | |

fnsd | First non-singleton dimension | |

cilleruelo | A class of multiplicative magic squares due to Cilleruelo and Luca | |

magicplot | Joins consecutive numbers of a magic square. | |

magic.4np2 | Magic squares of order 4n+2 | |

magic.2np1 | Magic squares of odd order | |

lozenge | Conway's lozenge algorithm for magic squares | |

magic.4n | Magic squares of order 4n | |

magic.prime | Magic squares prime order | |

diag.off | Extracts broken diagonals | |

magic.product | Product of two magic squares | |

minmax | are all elements of a vector identical? | |

force.integer | Integerize array elements | |

notmagic.2n | An unmagic square | |

process | Force index arrays into range | |

is.square.palindromic | Is a square matrix square palindromic? | |

as.standard | Standard form for magic squares | |

transf | Frenicle's equivalent magic squares | |

latin | Random latin squares | |

hadamard | Hadamard matrices | |

hendricks | A perfect magic cube due to Hendricks | |

allsubhypercubes | Subhypercubes of magic hypercubes | |

magic | Creates magic squares | |

perfectcube6 | A perfect cube of order 6 | |

recurse | Recursively apply a permutation | |

perfectcube5 | A perfect magic cube of order 5 | |

sam | Sparse antimagic squares | |

do.index | Apply a function to array element indices | |

eq | Comparison of two magic squares | |

magiccube.2np1 | Magic cubes of order 2n+1 | |

shift | Shift origin of arrays and vectors | |

magiccubes | Magic cubes of order 3 | |

is.magichypercube | magic hypercubes | |

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

nqueens | N queens problem | |

panmagic.4 | Panmagic squares of order 4 | |

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

strachey | Strachey's algorithm for magic squares | |

panmagic.8 | Panmagic squares of order 8 | |

subsums | Sums of submatrices | |

magic.8 | Regular magic squares of order 8 | |

allsums | Row, column, and two diagonal sums of arrays | |

apad | Pad arrays | |

arev | Reverses some dimensions; a generalization of rev | |

arot | Rotates an array about two specified dimensions | |

Frankenstein | A perfect magic cube due to Frankenstein | |

apl | Replacements for APL functions take and drop | |

aplus | Generalized array addition | |

Ollerenshaw | A most perfect square due to Ollerenshaw | |

cube2 | A pantriagonal magic cube | |

No Results! |

## Vignettes of magic

Name | ||

magic.bib | ||

magicpaper.Rnw | ||

No Results! |

## Last month downloads

## Details

Date | 2018-09-14 |

License | GPL-2 |

Packaged | 2018-09-16 20:24:12 UTC; rhankin |

URL | https://github.com/RobinHankin/magic.git |

NeedsCompilation | no |

Repository | CRAN |

Date/Publication | 2018-09-17 09:00:08 UTC |

depends | abind , R (>= 2.10) |

Contributors | Robin S. Hankin |

#### Include our badge in your README

```
[![Rdoc](http://www.rdocumentation.org/badges/version/magic)](http://www.rdocumentation.org/packages/magic)
```