Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.1 6/24/83; site aecom.UUCP
Path: utzoo!watmath!clyde!burl!ulysses!mhuxl!ihnp4!drutx!houxe!hogpc!houti!ariel!vax135!floyd!cmcl2!philabs!aecom!eliovson
From: eliovson@aecom.UUCP
Newsgroups: net.math
Subject: Magic Squares
Message-ID: <551@aecom.UUCP>
Date: Tue, 1-May-84 22:30:38 EDT
Article-I.D.: aecom.551
Posted: Tue May  1 22:30:38 1984
Date-Received: Fri, 4-May-84 05:06:40 EDT
Organization: Albert Einstein Coll. of Med., NY
Lines: 39



On 5/1 I was introduced to a technique for developing
the magic square, where all columns, any direction (including diagnols)
add up to the same sum- for example:

	      _________________________________________________________
 generation   :             O       3       3       3                  |
   of a       :  OOO       OOO     2OO     2 6     2 6     276     276 |
   3 X 3      :  OOO      OOOOO   1OOOO   1 5OO   1 5 9   1 5 9    951 |
 magic        :  OOO       OOO     OOO     4OO     4 8     438     438 |
     square   :             O       O       O       7                  |
	      ----------------------------------------------------------

When I sat down to write a program for the following I ran into
a small problem- does this only work with ODD squares? ie-

	1  2  3  4            4
	5  6  7  8          3   8
	9 10 11 12        2   7  12
       13 14 15 16      1   6  11  16
			  5  10  15
			    9  14
			     13

	  1st               2nd

leaves me blind-

So all you puzzlers out there- a formula or subroutine
would be much appreciated, and as our system doesn't
give access to net.sources any answers should be directly
mailed to me.

	Thanks alot,           "Today is the Tommorrow
	moshe eliovson          you worried about
				yesterday."

{spike|rocky2|philabs|pegasus|esquire|cucard}!aecom!eliovson