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[标准] 幻方-magic square

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发表于 2017-5-16 18:15:19 | 显示全部楼层 |阅读模式 | 百度 
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输入的解释:
magic square
备选的名字:
diagonally magic square | normal magic square
基本定义:
A square array of positive integers such that the sum of any row, column, or main diagonal equals that of any other.
详细的定义:
A magic square is a square array of numbers consisting of the distinct positive integers 1, 2, ..., n^2 arranged such that the sum of the n numbers in any horizontal, vertical, or main diagonal line is always the same number, known as the magic constantM_2(n) = 1/n sum_(k = 1)^(n^2) k = 1/2 n(n^2 + 1).If every number in a magic square is subtracted from n^2 + 1, another magic square is obtained called the complementary magic square. A square consisting of consecutive numbers starting with 1 is sometimes known as a normal magic square.
相关主题:
addition-multiplication magic square | alphamagic square | antimagic square | associative magic square | bimagic square | border square | Dürer´s magic square | Euler square | Franklin magic square | gnomon magic square | heterosquare | Latin square | magic circles | magic constant | magic cube | magic hexagon | magic labeling | magic series | magic tesseract | magic tour | multimagic square | multiplication magic square | panmagic square | semimagic square | talisman square | templar magic square | trimagic square
教育级别:
college level
主题分类:
MathWorld:
magic squares | unsolved problems | matrix types
MSC 2010:
15-XX


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