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One version of the traditional Chinese representation of the 3x3 "Lo Shu" magic square (see MagicSquare-LoShu.png). Date: 4 January 2010: Source: Own work - Made by self from scratch, following layout of PD image Luo4shu1.jpg. Author: AnonMoos: Other versions: See also Magic square Lo Shu.png: SVG development
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]
The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3. In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.
Early records dated to 650 BCE are ambiguous, referring to a "river map", but clearly start to refer to a magic square by 80 CE, and explicitly give an example of one since 570 CE. [ 2 ] [ 3 ] Recent publications have provided support that the Lo Shu Magic Square was an important model for time and space.
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A 3x3 magic square of the numbers 1 through 9. Number Scrabble is played with the list of numbers between 1 and 9. Each player takes turns picking a number from the list. Once a number has been picked, it cannot be picked again. If a player has picked three numbers that add up to 15, that player wins the game.
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The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. For a normal magic square of order n – that is, a magic square which contains the numbers 1, 2, ..., n 2 – the magic constant is = +.