Magic  Square website of China

  

 What is a Magic Square?

A magic square is an arrangement of the numbers from 1 to n^2 (n-squared) in an nxn matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same. It is not hard to show that this sum must be n(n^2+1)/2.
What is a multiMagic Square?

If the Magic square have quality:   such that the sum、square sum 、cube sum、4-power sum ,etc ,that of the entries of any row, any column, or any main diagonal is the same。than the Magic square is  a multiMagic Square.

  Magic  Square website 

1.http://www.magic-squares.de/
2.http://www.grogono.com/

Explain word

magic squares(1-multimagic); Bimagic squares(2-multimagic);  trimagic squares (3-multimagic);  Tetramagic square(4-multimagic); pentamagic square (5-multimagic)  

3.http://www.trump.de/

4.other website

5.http://mathforum.org/alejandre/magic.square.html
6.MathWorld: Magic Squares
7.china:Equal sums of like power
Return to   Magic  Square website of China:

http://www.zhghf.com

 

Station master:Gao Zhiyuan 

Address: math dept.Yanan college of Education. 

Yanan(716000).

Shaanxi, P.R.China.

Emailto:gy1397@sina.com

multiMagic  Square result of world

Return to the home page http://www.multimagie.com/indexengl.hml

 

MultiMagic  Square result of China


If  you can study and download this  magic square. 

1.Download the 8th-order  double magic square and bimagic square of Su Maotinghtml file .

2.Download 120th the 8th-order  bimagic square of Wu Shuoxing , Excel file 18.4Kb.

3.Download the 16th-order trimagic square (non-normal magic squares) of Su Maoting,  html file .

4.Download the 16th-order pan and trimagic square ((non-normal magic squares)of Li Wen,  html file .

5.Download the 16th-order near trimagic square of Wang Zhonghan ,  html file .

6. the 18th-order pan-Bimagic square (non-normal magic squares) of Su Maoting , Download  Excel file 36Kb.

7. the 18th-order pan-Bimagic square (non-normal magic squares) of Su Maoting ,  Download  Excel file 20Kb.

8.Download the 32th-order  trimagic square of  Wu Shuoxing  , Excel file .

9.Download  the 32th-order  trimagic square of Guo Xianqiang , html file .

10.Download the 36th-order  Pentamagic square (non-normal magic squares) of Guo Xianqiang   html file .

11.Download the 256th-order  Tetramagic square of Gao Zhiyuan and  Wu Shuoxing  Excel file 203Kb.

      Download  construct formula of the 256th-order  Tetramagic square    Excel file 54.8Kb.

12.Download the 128th-order  Bimagic square and multiproduct of Guo Xianqiang     html  file 245Kb.

13.Download the 12th-order trimagic square of Gao Zhiyuan and Pan Fengchu,   html file .

14.Download the 9th-order  double magic square  of Liang Peiji,html file.

15.Download 13th-order 7 power diagonal pan-magic square by Li Wen , html file.

16.Download  10th-order bimagic square (non-normal magic squares) by Gao Zhiyuan in 1997-5,html file.

17.Download  8th-ring trimagic circularity by Gao Zhiyuan in 1996-8,html file.

18.Download  3th-order 2 element multimagic square by Gao Zhiyuan in 1997-4,html file.

19.Download the   32768th-order  6-multimagic  square of  Pan Fengchu,   zip  file .2003-5

20.Download the 1024th-order  pentmagic square of Pan Fengchu,   zip  file  81Kb.

21.Download the 729th-order  pentmagic square of Guo Xianqiang(30.9kb).

22. Download  25th-order bimagic square and pan-magic square by  Li Wen in china,html file.

23.Download  7th-order 5 power of diagonal pan-magic square by Li Wen for 2002-7.

24.Download the 49th-order four-dimensions bimagic cube  of  Pan Fengchu,   zip  file .in 2003-3-12.

25.Download  15th-order row-column bimagic square  by  Li Wen ,in 2003-3-16.

26.Download  35th-order bimagic square  by  Li Wen ,in 2003-3-16.

27.Download  81th-order trimagic square  by  Li Wen ,in 2003-3-16. zip Excel file 505kb.

28.Download  121th-order bimagic cube  by  Li Wen ,in 2003-3-21. zip Excel file 149kb.

29.Download 729th-order pentmagic square  by  Li Wen ,in 2003-3-21. zip Excel file 149kb.

30.Download the  4096th-order  6-multimagic  square of  Pan Fengchu,   zip  file .2003-7   49kb.

31.Download the 25th-order  bimagic cube  of  Guo Xianqiang,   zip  file .in 2003-7  58kb

32.Download the   7-multimagic  square of  Pan Fengchu,   zip  file .2003-7   53kb.