{
  "_id": "6a2bb7a05783985943199211",
  "Package": "magic",
  "Version": "1.6-1-1",
  "Title": "Create and Investigate Magic Squares",
  "Authors@R": "person(given=c(\"Robin\", \"K. S.\"), family=\"Hankin\", role = c(\"aut\",\"cre\"), email=\"hankin.robin@gmail.com\", comment = c(ORCID = \"0000-0001-5982-0415\"))",
  "Description": "A collection of functions for the manipulation and\nanalysis of arbitrarily dimensioned arrays.  The original\nmotivation for the package was the development of efficient,\nvectorized algorithms for the creation and investigation of\nmagic squares and high-dimensional magic hypercubes.",
  "Maintainer": "Robin K. S. Hankin <hankin.robin@gmail.com>",
  "License": "GPL-2",
  "URL": "https://github.com/RobinHankin/magic,\nhttps://robinhankin.github.io/magic/",
  "BugReports": "https://github.com/RobinHankin/magic/issues",
  "Repository": "https://robinhankin.r-universe.dev",
  "Date/Publication": "2026-03-14 15:44:29 UTC",
  "RemoteUrl": "https://github.com/robinhankin/magic",
  "RemoteRef": "HEAD",
  "RemoteSha": "8f4f1630bf0037d5261c40e33db52c8525a30643",
  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-06-12 07:30:13 UTC",
    "User": "root"
  },
  "Author": "Robin K. S. Hankin [aut, cre] (ORCID:\n<https://orcid.org/0000-0001-5982-0415>)",
  "MD5sum": "224e343d01461a715269851ce213c639",
  "_user": "robinhankin",
  "_type": "src",
  "_file": "magic_1.6-1-1.tar.gz",
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  "_created": "2026-06-12T07:30:13.000Z",
  "_published": "2026-06-12T07:39:12.172Z",
  "_distro": "noble",
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  "_buildurl": "https://github.com/r-universe/robinhankin/actions/runs/27401352839",
  "_status": "success",
  "_host": "GitHub-Actions",
  "_upstream": "https://github.com/robinhankin/magic",
  "_commit": {
    "id": "8f4f1630bf0037d5261c40e33db52c8525a30643",
    "author": "robin <hankin.robin@gmail.com>",
    "committer": "robin <hankin.robin@gmail.com>",
    "message": "whitespace (to trigger workflow)\n",
    "time": 1773503069
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  "_maintainer": {
    "name": "Robin K. S. Hankin",
    "email": "hankin.robin@gmail.com",
    "login": "robinhankin",
    "orcid": "0000-0001-5982-0415",
    "description": "pushing the boundaries of R in non-statistical contexts",
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  "_dependencies": [
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      "version": ">= 4.2",
      "role": "Depends"
    },
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      "package": "abind",
      "role": "Depends"
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  "_owner": "robinhankin",
  "_selfowned": true,
  "_usedby": 264,
  "_updates": [
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    },
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  "_tags": [],
  "_stars": 4,
  "_contributors": [
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    "type": "user",
    "name": "Robin Hankin",
    "description": "pushing the boundaries of R in non-statistical contexts"
  },
  "_downloads": {
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    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/magic"
  },
  "_mentions": 4,
  "_devurl": "https://github.com/robinhankin/magic",
  "_pkgdown": "https://robinhankin.github.io/magic/",
  "_searchresults": 415,
  "_rbuild": "4.6.0",
  "_assets": [
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    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/magic.html",
    "extra/NEWS.html",
    "extra/NEWS.txt",
    "extra/readme.html",
    "extra/readme.md",
    "manual.pdf"
  ],
  "_homeurl": "https://github.com/robinhankin/magic",
  "_realowner": "robinhankin",
  "_cranurl": true,
  "_releases": [
    {
      "version": "1.0",
      "date": "2003-11-23"
    },
    {
      "version": "1.1",
      "date": "2004-04-22"
    },
    {
      "version": "1.2",
      "date": "2004-09-15"
    },
    {
      "version": "1.3-12",
      "date": "2005-03-26"
    },
    {
      "version": "1.3-14",
      "date": "2005-06-03"
    },
    {
      "version": "1.3-15",
      "date": "2005-07-21"
    },
    {
      "version": "1.3-20",
      "date": "2005-11-29"
    },
    {
      "version": "1.3-24",
      "date": "2006-04-07"
    },
    {
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      "date": "2007-04-13"
    },
    {
      "version": "1.3-28",
      "date": "2007-05-10"
    },
    {
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      "date": "2007-10-04"
    },
    {
      "version": "1.3-31",
      "date": "2007-12-21"
    },
    {
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      "date": "2008-05-13"
    },
    {
      "version": "1.3-34",
      "date": "2008-08-22"
    },
    {
      "version": "1.4-2",
      "date": "2009-01-20"
    },
    {
      "version": "1.4-3",
      "date": "2009-01-22"
    },
    {
      "version": "1.4-4",
      "date": "2009-03-30"
    },
    {
      "version": "1.4-6",
      "date": "2009-10-16"
    },
    {
      "version": "1.5-1",
      "date": "2011-12-27"
    },
    {
      "version": "1.5-2",
      "date": "2012-07-03"
    },
    {
      "version": "1.5-4",
      "date": "2013-01-21"
    },
    {
      "version": "1.5-6",
      "date": "2013-11-19"
    },
    {
      "version": "1.5-8",
      "date": "2018-01-26"
    },
    {
      "version": "1.5-9",
      "date": "2018-09-17"
    },
    {
      "version": "1.6-0",
      "date": "2022-02-09"
    },
    {
      "version": "1.6-1",
      "date": "2022-11-16"
    }
  ],
  "_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"
  ],
  "_datasets": [
    {
      "name": "cube2",
      "title": "A pantriagonal magic cube",
      "object": "cube2",
      "file": "cube2.rda",
      "class": [
        "array"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "Frankenstein",
      "title": "A perfect magic cube due to Frankenstein",
      "object": "Frankenstein",
      "file": "Frankenstein.rda",
      "class": [
        "array"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "hendricks",
      "title": "A perfect magic cube due to Hendricks",
      "object": "hendricks",
      "file": "hendricks.rda",
      "class": [
        "array"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "magiccubes",
      "title": "Magic cubes of order 3",
      "object": "magiccubes",
      "file": "magiccubes.rda",
      "class": [
        "list"
      ],
      "fields": [],
      "table": true,
      "tojson": true
    },
    {
      "name": "Ollerenshaw",
      "title": "A most perfect square due to Ollerenshaw",
      "object": "Ollerenshaw",
      "file": "Ollerenshaw.rda",
      "class": [
        "matrix",
        "array"
      ],
      "fields": {},
      "rows": 12,
      "table": true,
      "tojson": true
    },
    {
      "name": "perfectcube5",
      "title": "A perfect magic cube of order 5",
      "object": "perfectcube5",
      "file": "perfectcube5.rda",
      "class": [
        "array"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "perfectcube6",
      "title": "A perfect cube of order 6",
      "object": "perfectcube6",
      "file": "perfectcube6.rda",
      "class": [
        "array"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "magic-package",
      "title": "Create and Investigate Magic Squares",
      "topics": [
        "magic-package"
      ]
    },
    {
      "page": "adiag",
      "title": "Binds arrays corner-to-corner",
      "topics": [
        "adiag",
        "adiag2"
      ]
    },
    {
      "page": "allsubhypercubes",
      "title": "Subhypercubes of magic hypercubes",
      "topics": [
        "allsubhypercubes"
      ]
    },
    {
      "page": "allsums",
      "title": "Row, column, and two diagonal sums of arrays",
      "topics": [
        "allsums"
      ]
    },
    {
      "page": "apad",
      "title": "Pad arrays",
      "topics": [
        "apad"
      ]
    },
    {
      "page": "apl",
      "title": "Replacements for APL functions take and drop",
      "topics": [
        "apl",
        "apldrop",
        "apldrop<-",
        "apltake",
        "apltake<-",
        "take"
      ]
    },
    {
      "page": "aplus",
      "title": "Generalized array addition",
      "topics": [
        "aplus"
      ]
    },
    {
      "page": "arev",
      "title": "Reverses some dimensions; a generalization of rev",
      "topics": [
        "arev"
      ]
    },
    {
      "page": "arot",
      "title": "Rotates an array about two specified dimensions",
      "topics": [
        "arot"
      ]
    },
    {
      "page": "arow",
      "title": "Generalized row and col",
      "topics": [
        "arow"
      ]
    },
    {
      "page": "as.standard",
      "title": "Standard form for magic squares",
      "topics": [
        "as.standard",
        "is.standard",
        "is.standard.toroidal"
      ]
    },
    {
      "page": "cilleruelo",
      "title": "A class of multiplicative magic squares due to Cilleruelo and Luca",
      "topics": [
        "cilleruelo"
      ]
    },
    {
      "page": "circulant",
      "title": "Circulant matrices of any order",
      "topics": [
        "circulant",
        "is.circulant"
      ]
    },
    {
      "page": "cube2",
      "title": "A pantriagonal magic cube",
      "topics": [
        "cube2"
      ]
    },
    {
      "page": "diag.off",
      "title": "Extracts broken diagonals",
      "topics": [
        "diag.off"
      ]
    },
    {
      "page": "do.index",
      "title": "Apply a function to array element indices",
      "topics": [
        "do.index"
      ]
    },
    {
      "page": "eq",
      "title": "Comparison of two magic squares",
      "topics": [
        "%eq%",
        "%ge%",
        "%gt%",
        "%le%",
        "%lt%",
        "%ne%",
        "eq",
        "ge",
        "gt",
        "le",
        "lt",
        "ne"
      ]
    },
    {
      "page": "fnsd",
      "title": "First non-singleton dimension",
      "topics": [
        "fnsd"
      ]
    },
    {
      "page": "force.integer",
      "title": "Integerize array elements",
      "topics": [
        "force.integer"
      ]
    },
    {
      "page": "Frankenstein",
      "title": "A perfect magic cube due to Frankenstein",
      "topics": [
        "Frankenstein"
      ]
    },
    {
      "page": "hadamard",
      "title": "Hadamard matrices",
      "topics": [
        "hadamard",
        "is.hadamard",
        "sylvester"
      ]
    },
    {
      "page": "hendricks",
      "title": "A perfect magic cube due to Hendricks",
      "topics": [
        "hendricks"
      ]
    },
    {
      "page": "hudson",
      "title": "Pandiagonal magic squares due to Hudson",
      "topics": [
        "hudson"
      ]
    },
    {
      "page": "is.magic",
      "title": "Various tests for the magicness of a square",
      "topics": [
        "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"
      ]
    },
    {
      "page": "is.magichypercube",
      "title": "magic hypercubes",
      "topics": [
        "is.alicehypercube",
        "is.diagonally.correct",
        "is.latinhypercube",
        "is.magichypercube",
        "is.nasik",
        "is.perfect",
        "is.semimagichypercube"
      ]
    },
    {
      "page": "is.ok",
      "title": "Does a vector have the sum required to be a row or column of a magic square?",
      "topics": [
        "is.ok"
      ]
    },
    {
      "page": "is.square.palindromic",
      "title": "Is a square matrix square palindromic?",
      "topics": [
        "is.centrosymmetric",
        "is.persymmetric",
        "is.square.palindromic"
      ]
    },
    {
      "page": "latin",
      "title": "Random latin squares",
      "topics": [
        "another_incidence",
        "another_latin",
        "incidence",
        "inc_to_inc",
        "is.incidence",
        "is.incidence.improper",
        "latin",
        "rlatin",
        "unincidence"
      ]
    },
    {
      "page": "lozenge",
      "title": "Conway's lozenge algorithm for magic squares",
      "topics": [
        "lozenge"
      ]
    },
    {
      "page": "magic",
      "title": "Creates magic squares",
      "topics": [
        "magic"
      ]
    },
    {
      "page": "magic.2np1",
      "title": "Magic squares of odd order",
      "topics": [
        "magic.2np1"
      ]
    },
    {
      "page": "magic.4n",
      "title": "Magic squares of order 4n",
      "topics": [
        "magic.4n"
      ]
    },
    {
      "page": "magic.4np2",
      "title": "Magic squares of order 4n+2",
      "topics": [
        "magic.4np2"
      ]
    },
    {
      "page": "magic.8",
      "title": "Regular magic squares of order 8",
      "topics": [
        "magic.8"
      ]
    },
    {
      "page": "magic.constant",
      "title": "Magic constant of a magic square or hypercube",
      "topics": [
        "magic.constant"
      ]
    },
    {
      "page": "magic.prime",
      "title": "Magic squares prime order",
      "topics": [
        "magic.prime"
      ]
    },
    {
      "page": "magic.product",
      "title": "Product of two magic squares",
      "topics": [
        "magic.product",
        "magic.product.fast"
      ]
    },
    {
      "page": "magiccube.2np1",
      "title": "Magic cubes of order 2n+1",
      "topics": [
        "magiccube.2np1"
      ]
    },
    {
      "page": "magiccubes",
      "title": "Magic cubes of order 3",
      "topics": [
        "magiccubes"
      ]
    },
    {
      "page": "magichypercube.4n",
      "title": "Magic hypercubes of order 4n",
      "topics": [
        "magichypercube.4n"
      ]
    },
    {
      "page": "magicplot",
      "title": "Joins consecutive numbers of a magic square.",
      "topics": [
        "magicplot"
      ]
    },
    {
      "page": "minmax",
      "title": "are all elements of a vector identical?",
      "topics": [
        "minmax"
      ]
    },
    {
      "page": "notmagic.2n",
      "title": "An unmagic square",
      "topics": [
        "notmagic.2n"
      ]
    },
    {
      "page": "nqueens",
      "title": "N queens problem",
      "topics": [
        "bernhardsson",
        "bernhardssonA",
        "bernhardssonB",
        "nqueens"
      ]
    },
    {
      "page": "Ollerenshaw",
      "title": "A most perfect square due to Ollerenshaw",
      "topics": [
        "Ollerenshaw"
      ]
    },
    {
      "page": "panmagic.4",
      "title": "Panmagic squares of order 4",
      "topics": [
        "panmagic.4"
      ]
    },
    {
      "page": "panmagic.6npm1",
      "title": "Panmagic squares of order 4n, 6n+1 and 6n-1",
      "topics": [
        "panmagic.4n",
        "panmagic.6nm1",
        "panmagic.6np1",
        "panmagic.6npm1"
      ]
    },
    {
      "page": "panmagic.8",
      "title": "Panmagic squares of order 8",
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