2008Shuxue de shijian yu renshiRequires access

The Constructing Method of Magic Square with Non-Prime Order

Helin Gong

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Abstract

Two elegant methods for constructing magic squares of even order(singly even or doubly even)will be firstly will be introduced.By this method,a lager mount of magic squares with wonderful features can be obtained.Furthermore,we also give a new method of constructing two types of advanced magic squares(pan-magic squares or associative magic squares)with mn-order by one m-order magic square and another n-order magic square,where m≠2,n≠2.

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What this paper is about

Two elegant methods for constructing magic squares of even order(singly even or doubly even)will be firstly will be introduced.By this method,a lager mount of magic squares with wonderful features can be obtained.Furthermore,we also give a new method of constructing two types of advanced magic squares(pan-magic squares or associative magic squares)with mn-order by one m-order magic square and another n-order magic square,where m≠2,n≠2.

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Available abstract

Two elegant methods for constructing magic squares of even order(singly even or doubly even)will be firstly will be introduced.By this method,a lager mount of magic squares with wonderful features can be obtained.Furthermore,we also give a new method of constructing two types of advanced magic squares(pan-magic squares or associative magic squares)with mn-order by one m-order magic square and another n-order magic square,where m≠2,n≠2.

Key concepts: Magic square, MAGIC (telescope), Square (algebra), Mathematics, Combinatorics, Order (exchange), Prime (order theory), Algorithm

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