Letter come from all of world
¡¡1.Walter Trump`s
Dear Gao Zhiyuan,
thank for your email and the order-36 penta-magic square.
Is that square your own result?
I checked the square and found out:
The numbers are not consecutive and the diagonals are only trimagic.
Are these statements correct?
Then the square is a non-normal trimagic and semi-pentamagic square.
But anyway it is a very, very good result.
I will send the square to Christian Boyer. He has a great website about
multimagic squares:
http://www.multimagie.com
I could not receive your order-256 tetramagic square.
Please can you send it once again?
When did you find that square?
Regards from Nuremberg (the home of Albrecht Duerer) in Germany
Walter Trump
2.Holger Danielsson
`s
Hi Gao Zhiyuan,
once you sent me the address of the Chinese Magic Squares web page:
http://www.zhghf.com
Is there any english version of these pages? Or any trick how i could
read these pages? Unfortunately i am not able to read your language.
bye holger
--
Holger Danielsson
http://www.magic-squares.de
Hello Holger Danielsson:
I am glad very much to receive your letter,My English is badly,
but I hope exchange to you,we all like magic square, and all
have " Magic Squares web page". my " Chinese Magic Squares web
page" have not English version, buy I may provide you to the last
word for our research Magic Squares, our chinese have many lover
for magic square,There are study result in them, for example, 256
order 4 power magic square (Tetramagic 256 ) and Pentamagic 36
are good result. please you look at my affix.
yours
Gao Zhiyuan from China yanan
2003/2/14
Hi Gao Zhiyuan,
nice to hear from you again! And i am really interested to hear from
your researches and results.
The magic square you sent is really good, but i have another of this
type. It was constructed by David M. Collison in 1991. It is like
yours trimagic and semi-magic in 4th and 5th dimension, which means
that only the diagonals miss the right sum. But Collisons square is
still better i think, because both diagonals have the same sum:
c41=c42 and c51=c52.
This means that there is still a lot of work, now as the first real
trimagic square of order 12 was found.
regards holger
Hi Gao Zhiyuan,
oops, i have forgotton to attach the magic square...
regards holger
¡¡
Hi Gao Zhiyuan,
> I am interested to your information , really David M.
> Collison`s result better than Guo Xianqiang`s ,further more he is
> early. you said :now as the first real trimagic square of order 12
> was found,but I have know to Walter Trump in Germany first real
> trimagic square of order 12 was found ,please tell me to Why is
> this?
Excuse me, if i didn't say it clear enough: of course the trimagic
square is from Walter Trump, who found it in June 2002. Just beore i
wrote your email, I got an email from Walter Trump, who sent me his
work. And all i wanted to say ist that i had to start to integrate
his work on my web pages and look for further algorithms.
> This time, I provide you to Tetramagic 256, It is construct
> by I and Wu Shuoxin, It is 203K magnitude, please you look at my
> affix .The magic square is construct use" mi(q) language", The
> language is contrived by ours chinese for study magic square, I
> may provide you to later , you will look at a nice formula, use
> the formula can calculated all number in Tetramagic 256 from 1 to
> 256*256.
The mi(q) language to construct magic squares is really interessant
for me. If there is any possibility to learn something about this
language, i would be pleaesd. My computer researches to analyse magic
squares use the language 'perl'. And all cgi scripts to create magic
squares on www.magic-squares.de use also perl of course.
regards holger
3.Gao Zhiyuan`s
Hello Holger Danielsson:
I am happy to hear from you again!
I am interested to your information , really David M. Collison`s result better than Guo Xianqiang`s ,further more he is early. you said :now as the first real trimagic square of order 12 was found,but I have know to Walter Trump in Germany first real trimagic square of order 12 was found ,please tell me to Why is this?
This time, I provide you to Tetramagic 256, It is construct by I and Wu Shuoxin, It is 203K magnitude, please you look at my affix .The magic square is construct use" mi(q) language", The language is contrived by ours chinese for study magic square, I may provide you to later , you will look at a nice formula, use the formula can calculated all number in Tetramagic 256 from 1 to 256*256.
Gao Zhiyuan
2003-02-16
TrumpNbg£¬hello£¡
I glad very much to look at your web page,My English is bad, but I hope exchange to you,we all like magic square, and all have " Magic Squares web page". my " Chinese Magic Squares web page"(http://www.zhghf.com) have not English version, buy I may provide you to the last word for our research Magic Squares, our chinese have many lover for magic square,There are study result in them, for example, 256 order 4 power magic square (Tetramagic 256 ) and Pentamagic 36 are good result. please you look at my affix.
yours Gao Zhiyuan
from China yanan
2003/2/24
Best regards from France. Christian Boyer. >Dear Gao, > >Walter has forwarded me your very interesting message. >I am preparing a March 2003 update for my website www.multimagie.com >Would it possible to add, in this update, your excellent non-regular >pentamagic square of order 36 ? >Of course with your name. >Do you have more details about this pentamagic square? > >Walter has not well receive your tetramagic square of order 256. >Could you resend us this square? >In January, I have constructed a tetramagic square of order 256, wich will >be added in my March update. >Attached to this email, I send you this square (sorry Walter, you have >already it !). > >Do you have other interesting things about multimagic squares ? > >Best regards from France. >Christian Boyer. > > >-----Message d'origine----- >De: TrumpNbg@aol.com [mailto:TrumpNbg@aol.com] >Date: mercredi 26 frier 2003 19:35 >? cboyer@club-internet.fr >Objet: Fwd: magic square friend from China yanan > > >In einer eMail vom 25.02.03 05:27:25 (MEZ) Mitteleuropsche Zeit schreibt ¡¡
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