magic squares

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• Strachey method for magic squares — The Strachey method for magic squares is an algorithm for generating magic squares of singly even order 4 n +2.Example of magic square of order 6 constructed with the Strachey method: example 35 1 6 26 19 24 3 32 7 21 23 25 31 9 2 22 27 20 8 28… …   Wikipedia

• Conway's LUX method for magic squares — is an algorithm by John Horton Conway for creating magic squares of order 4n+2, where n is a natural number. Method Start by creating a (2n+1) by (2n+1) square array consisting of n+1 rows of Ls, 1 row of Us, and n 1 rows of Xs, and then exchange …   Wikipedia

• Magic square — In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.[1] A normal magic… …   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

• Magic constant — The magic constant or magic sum of a magic square is the sum of numbers in any row, column, and diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. The term magic constant or magic sum is similarly… …   Wikipedia

• Magic hypercube — 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… …   Wikipedia

• Magic tesseract — In mathematics, a magic tesseract is the 4 dimensional counterpart of a magic square and magic cube, 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… …   Wikipedia

• Magic hexagon — A magic hexagon of order n is an arrangement of numbers in a centered hexagonal pattern with n cells on each edge, in such a way that the numbers in each row, in all three directions, sum to the same magic constant. A normal magic hexagon… …   Wikipedia

• magic square — a square containing integers arranged in an equal number of rows and columns so that the sum of the integers in any row, column, or diagonal is the same. [1695 1705] * * * ▪ puzzle       square matrix often divided into cells, filled with numbers …   Universalium

• Magic hyperbeam — A magic hyperbeam (n dimensional magic rectangle) is a variation on a magic hypercube where the orders along each direction may be different. As such a magic hyperbeam generalises the two dimensional magic rectangle and the three dimensional… …   Wikipedia