multimagic square

multimagic square
мат. мультимагический квадрат

Большой англо-русский и русско-английский словарь. 2001.

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  • Multimagic square — In mathematics, a P multimagic square (also known as a satanic square) is a magic square that remains magic even if all its numbers are replaced by their kth power for 1 ≤ k ≤ P. Thus, a magic square is bimagic if it is 2 multimagic, and trimagic …   Wikipedia

  • Multimagic cube — In mathematics, a P multimagic cube is a magic cube that remains magic even if all its numbers are replaced by their k th power for 1 ≤ k ≤ P. Thus, a magic cube is bimagic when it is 2 multimagic, and trimagic when it is 3 multimagic, tetramagic …   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

  • Bimagic square — In mathematics, a bimagic square is a magic square that also remains magic if all of the numbers it contains are squared. The first known bimagic square has order 8 and magic constant 260; it has been conjectured by Bensen and Jacoby that no… …   Wikipedia

  • Trimagic square — In mathematics, a trimagic square is a magic square that also remains magic if all of the numbers it contains are squared or cubed. Trimagic squares of orders 12, 32, 64, 81 and 128 have been discovered so far; the only known trimagic square of… …   Wikipedia

  • List of recreational number theory topics — This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative: many famous topics in number theory have origins in challenging problems posed purely for their own sake. See list… …   Wikipedia

  • Bimagic cube — In mathematics, a bimagic cube is a magic cube that also remains magic if all of the numbers it contains are squared. In 1934, Cazalas attempted but failed to construct a bimagic cube. David M. Collison apparently constructed a bimagic cube of… …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Trimagic cube — In mathematics, a trimagic cube is a magic cube that also remains magic if all of the numbers it contains are squared or cubed. Only two trimagic cubes are known. The first trimagic cube was found by C. Boyer on February 1, 2003 and is of order… …   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 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


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