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- Magic_hypercube abstract "In mathematics, a magic hypercube is the k-dimensional generalization of magic squares, magic cubes and magic tesseracts; that is, a number of integers arranged in an n × n × n × ... × n pattern such that the sum of the numbers on each pillar (along any axis) as well as the main space diagonals is equal to a single number, the so-called magic constant of the hypercube, denoted Mk(n). It can be shown that if a magic hypercube consists of the numbers 1, 2, ..., nk, then it has magic numberFor n = 4, this sequence is OEIS A021003.Four-, Five-, six-, seven- and eight-dimensional magic hypercubes of order three have been constructed by J. R. Hendricks.Marian Trenkler proved the following theorem:A p-dimensional magic hypercube of order n exists if and only ifp > 1 and n is different from 2 or p = 1. A construction of a magic hypercube follows from the proof.The R programming language includes a module, library(magic), that will create magic hypercubes of any dimension (with n a multiple of 4).Change to more modern conventions here-after (basically k ==> n and n ==> m)".
- Magic_hypercube wikiPageExternalLink 05-MagicCube.pdf.
- Magic_hypercube wikiPageExternalLink Cube-Ref.html.
- Magic_hypercube wikiPageExternalLink hdhcubes.
- Magic_hypercube wikiPageExternalLink Encyclopedia.
- Magic_hypercube wikiPageExternalLink DynamicNumbering.html.
- Magic_hypercube wikiPageExternalLink index.html.
- Magic_hypercube wikiPageExternalLink PathNasiks.zip.
- Magic_hypercube wikiPageExternalLink XmlHypercubes.html.
- Magic_hypercube wikiPageExternalLink www.multimagie.com.
- Magic_hypercube wikiPageID "372467".
- Magic_hypercube wikiPageRevisionID "599021736".
- Magic_hypercube hasPhotoCollection Magic_hypercube.
- Magic_hypercube subject Category:Magic_squares.
- Magic_hypercube subject Category:Recreational_mathematics.
- Magic_hypercube type Abstraction100002137.
- Magic_hypercube type Arrangement107938773.
- Magic_hypercube type Array107939382.
- Magic_hypercube type Group100031264.
- Magic_hypercube type MagicSquare108269707.
- Magic_hypercube type MagicSquares.
- Magic_hypercube type Matrix108267640.
- Magic_hypercube type SquareMatrix108268085.
- Magic_hypercube comment "In mathematics, a magic hypercube is the k-dimensional generalization of magic squares, magic cubes and magic tesseracts; that is, a number of integers arranged in an n × n × n × ... × n pattern such that the sum of the numbers on each pillar (along any axis) as well as the main space diagonals is equal to a single number, the so-called magic constant of the hypercube, denoted Mk(n).".
- Magic_hypercube label "Hipercubo mágico".
- Magic_hypercube label "Magic hypercube".
- Magic_hypercube label "Magische hyperkubus".
- Magic_hypercube sameAs Magische_hyperkubus.
- Magic_hypercube sameAs Hipercubo_mágico.
- Magic_hypercube sameAs m.020mcx.
- Magic_hypercube sameAs Q13645891.
- Magic_hypercube sameAs Q13645891.
- Magic_hypercube sameAs Magic_hypercube.
- Magic_hypercube wasDerivedFrom Magic_hypercube?oldid=599021736.
- Magic_hypercube isPrimaryTopicOf Magic_hypercube.