# pandiagonal magic square

pandiagonal magic square
пандиагональный магический квадрат

English-Russian scientific dictionary. 2008.

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• Pandiagonal magic square — A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the… …   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

• Simple magic square — A simple magic square is the lowest of two basic classes of magic square. It has the minimum requirements for a square to be considered magic. All lines parallel to the edges, plus the two main diagonals must sum to the magic constant. S =… …   Wikipedia

• Most-perfect magic square — from the Parshvanath Jain temple in Khajuraho 7 …   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 — 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

• Nasik magic hypercube — A Nasik magic hypercube is a magic hypercube with the added restriction that all possible lines through each cell sum correctly to where S = the magic constant, m = the order and n = the dimension, of the hypercube. Or, to put it more concisely,… …   Wikipedia

• 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

• 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

• Panmagic square — A panmagic square, pandiagonal magic square, diabolic square, diabolical square or diabolical magic square is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square,… …   Wikipedia

• Space diagonal — In a rectangular box or a magic cube, the four space diagonals are the lines that go from a corner of the box or cube, through the center of the box or cube, to the opposite corner. These lines are also called triagonals or volume diagonals .For… …   Wikipedia

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