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The number zero for n = 6 is an example of a more general phenomenon: associative magic squares do not exist for values of n that are singly even (equal to 2 modulo 4). [3] Every associative magic square of even order forms a singular matrix, but associative magic squares of odd order can be singular or nonsingular. [4]
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 powers for 1 ≤ k ≤ P. 2-multimagic squares are called bimagic , 3-multimagic squares are called trimagic , 4-multimagic squares tetramagic , and 5-multimagic squares pentamagic .
For each square, cells with the same colour (excluding grey) sum to the magic constant. Note *: The second requirement of most-perfect magic squares imply that any 2 cells that are 2 cells diagonally apart (including wraparound) sum to half the magic constant, hence any 2 such pairs also sum to the magic constant. Width: 100%: Height: 100%
Print/export Download as PDF; Printable version; In other projects ... Pages in category "Magic squares" The following 47 pages are in this category, out of 47 total.
492 × 460 (3 KB) AnonMoos: oops, included three extra lines: 12:35, 2 January 2010: 492 × 460 (3 KB) AnonMoos: One version of the traditional Chinese representation of the 3x3 "Lo Shu" magic square (see File:MagicSquare-LoShu.png). Made by self from scratch, following layout of PD image File:Luo4shu1.jpg. [[Category:Magic squares]
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For example the following sequence can be used to form an order 3 magic square according to the Siamese method (9 boxes): 5, 10, 15, 20, 25, 30, 35, 40, 45 (the magic sum gives 75, for all rows, columns and diagonals). The magic sum in these cases will be the sum of the arithmetic progression used divided by the order of the magic square.
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