The New Structure Methods about Odd Order Symmetrical Magic Square and Symmetrical Magic Square with Separated Odd and Even Numbers
Zhan Sen · Journal of Hainan Normal University · 2011
The new structure method called two-step matching method were given and proved,which could obtain odd n order symmetrical magic square.The new structure method called two-step matching residual function method were given and proved,which could obtain symmetrical magic square with separated odd and even numbers.These methods may obtain 2m(m!) 2m-1((m-1) !) differentnorder symmetrical magic squares;whenn=2m+1(m=2k,k=1,2,…)may obtain 2m(k!)2 2m-1(k!)((k-1) !) different n order symmetrical magic square with separated odd and even numbers;when n=2m+1(m=2k+1,k=0,1,2,…)may obtain 2m((k+1) !)(k!) 2m-1(k!)2 different n order symmetrical magic square with separated odd and even numbers.