magic cube

magic cube
a) Common: By analogy with magic square, an n-by-n-by-n arrangement of n³ numbers such that the numbers in each row, in all columns (horizontal and vertical) and in all main diagonals (of which there are 6,n+4) each have the same sum.
b) Proper (trademark, possibly registered): The original Hungarian name (in English, according to Singmasters and the ) for what later became known in Western markets as (which see).

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  • Magic cube — For the flashbulb cartridges, see Magicube. For the puzzle, see Rubik s Cube. In mathematics, a magic cube is the 3 dimensional equivalent of a magic square, that is, a number of integers arranged in a n x n x n pattern such that the sum of the… …   Wikipedia

  • Magic cube — Rubik s Cube Rubik’s Cube avec une face en cours de rotation …   Wikipédia en Français

  • magic cube — noun see magic circle 2 * * * magic square, magic circle, magic cube, magic cylinder or magic sphere noun A figure filled with rows of numbers so arranged that the sums of all the rows will be the same, perpendicularly, horizontally or diagonally …   Useful english dictionary

  • Magic Cube (video game) — Magic Cube is an unlicensed Nintendo Entertainment System game released by Sachen.Gameplay Magic Cube s gameplay makes it very similar to Tetris or, more specifically, Columns . The player must align cubes with random pictures on every of the… …   Wikipedia

  • Magic cube classes — Every magic cube may be assigned to one of six magic cube classes, based on the cube characteristics. This new system is more precise in defining magic cubes. But possibly of more importance, it is consistent for all orders and all dimensions of… …   Wikipedia

  • Magic Cube — noun Rubiks Cube …   Wiktionary

  • Perfect magic cube — In mathematics, a perfect magic cube is a magic cube in which not only the columns, rows, pillars and main space diagonals, but also the cross section diagonals sum up to the cube s magic constant. Perfect magic cubes of order one are trivial;… …   Wikipedia

  • Diagonal magic cube — A Diagonal Magic Cube is an improvement over the simple magic cube. It is the second of six magic cube classes when ranked by the number of lines summing correctly. In a diagonal magic cube of order m, all 6m of the diagonals in the m planes… …   Wikipedia

  • Pantriagonal magic cube — A pantriagonal magic cube is a magic cube where all 4 m 2 pantriagonals sum correctly. There are 4 one segment, 12( m − 1) two segment, and 4( m − 2)( m − 1) three segment pantriagonals. This class of magic cubes may contain some simple magic… …   Wikipedia

  • Pandiagonal magic cube — In a Pandiagonal magic cube, all 3m planar arrays must be panmagic squares. The 6 oblique squares are always magic. Several of them may be panmagic squares.Gardner called Langman’s pandiagonal magic cube a ‘perfect’ cube, presumably not realizing …   Wikipedia

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