From: phil kenny
Newsgroups: sci.math
Subject: Re: Magic square
Date: Sun, 25 Jan 1998 12:10:19 -0800
Baptiste Heyman wrote:
>
> Does anyone know if there is a 6x6 magic square ?
>
> -------------------==== Posted via Deja News ====-----------------------
> http://www.dejanews.com/ Search, Read, Post to Usenet
Here is a 6x6 magic square with an unusual property. If you
strip off the outer border of cells, a 4x4 magic square remains.
1 35 30 5 34 6
33 11 24 25 14 4
28 18 21 20 15 9
10 22 17 16 19 27
8 23 12 13 26 29
31 2 7 32 3 36
This appeared in a Dover publication:
"Magic Squares and Cubes" by W. S. Andrews, 1960.
Sorry, no ISBN.
Several other examples of 'concentric' magic squares
also are listed in this reference.
Regards, phil kenny
==============================================================================
From: Baptiste Heyman
Newsgroups: sci.math
Subject: Re: Magic Squares
Date: Sat, 28 Mar 1998 21:36:39 +0100
Anton Ivanov wrote:
>
> I am working on an age-old problem: magic squares. I have found the
> procedure for the 3x3 squares, but I can't seem to find one for 5x5 and
> so on. Does anyone know of one?
5
4 10
!---!---!---!---!---!
! 3 ! ! 9 ! !15 !
!---!---!---!---!---!
2 ! ! 8 ! !14 ! !20
!---!---!---!---!---!
1 ! 7 ! !13 ! !19 ! 25
!---!---!---!---!---!
6 ! !12 ! !18 ! !24
!---!---!---!---!---!
!11 ! !17 ! !23 !
!---!---!---!---!---!
16 22
21
!---!---!---!---!---!
! 3 !16 ! 9 !22 !15 !
!---!---!---!---!---!
!20 ! 8 !21 !14 ! 2 !
!---!---!---!---!---!
! 7 !25 !13 ! 1 !19 !
!---!---!---!---!---!
!24 !12 ! 5 !18 ! 6 !
!---!---!---!---!---!
!11 ! 4 !17 !10 !23 !
!---!---!---!---!---!
==============================================================================
From: jasonp@Glue.umd.edu (Jason Stratos Papadopoulos)
Newsgroups: sci.math
Subject: Re: Magic square
Date: 26 Jan 1998 08:13:47 GMT
GSimp95605 (gsimp95605@aol.com) wrote:
: isn't there an algorithm for "all" nxn magic squares where n>2 and the
: individual squares are filled with the numbers 1,2,3,... n^2?
: I know it for odd n, and about a month ago I saw one for even n.
This was posted here a long time ago. Note also that the International
Obfuscated C Code Contest had a magic square generator win the "most
obfuscated algorithm" award a while back. The program is pretty neat,
but don't learn the algorithm from it!
Anyway, the most general method I've seen is given in "Magic Squares and
Cubes", but requires solving (what seems to me) a really complicated
combinatorics problem. Rather than repeat myself, look in DejaNews
for a post with "thorny combinatorics problem" in the title.
jasonp
PS: Many more magic squares of odd size are possible than what the
poster mentioned; in particular you can start from anywhere in the
square except the middle, but the rules change slightly depending
on where you start.
--------------------------------------------------------------------------
From: "Shin, Kwon Young"
Newsgroups: sci.math
Subject: Perfect Magic Square Solution
Date: Tue, 01 Apr 1997 01:35:53 +0900
THE SOLUTION FOR "THE MAGIC SQUARE"
===================================
Have you ever heard of the 'Magic Square'?
It's a mathematical 'brain-twister' where the sum of the numbers
of a row, column or diagonal in a square n*n is always equal.
For example, look at