8 x 8 Latin square design needed

[Leisha Wharfield]

Thanks! You guys are awesome. I'm replying with both solutions in this 
email so it will go in the archives.

Leisha

David McFarlane wrote:
Leisha,

At 9/24/2007 04:17 PM Monday, you wrote:

> Thank you, but that one's 4x4.


Hmm, I thought the article outlined how to create a Latin Square of any 
arbitrary order.  Following their instructions, here's an example:

  1  2  3  4  5  6  7  8
  2  3  4  5  6  7  8  1
  3  4  5  6  7  8  1  2
  4  5  6  7  8  1  2  3
  5  6  7  8  1  2  3  4
  6  7  8  1  2  3  4  5
  7  8  1  2  3  4  5  6
  8  1  2  3  4  5  6  7

Now I'm not an expert, but does this look like what you're looking for?

Regards,
-- dkm

Edward Carney wrote:

>2 7 8 1 4 5 6 3 
>1 8 3 6 7 2 5 4
>8 1 6 3 2 7 4 5
>7 2 1 8 5 4 3 6
>4 5 2 7 6 3 8 1
>3 6 5 4 1 8 7 2
>6 3 4 5 8 1 2 7
>5 4 7 2 3 6 1 8
>
>This LS has additional virtues which are cool.  It comes from
>http://www.borderschess.org/Knight%20Tour%20Latin%20Square.doc.  This is
>attached as a PDF.  
>
>  
>
>>-----Original Message-----
>>From: eprime at mail.talkbank.org [mailto:eprime at mail.talkbank.org] On
>>Behalf Of Leisha Wharfield
>>Sent: Monday, September 24, 2007 3:17 PM
>>To: David McFarlane
>>Cc: eprime at mail.talkbank.org
>>Subject: Re: 8 x 8 Latin square design needed
>>
>>Thank you, but that one's 4x4.
>>
>>Leisha
>>
>>David McFarlane wrote:
>>
>>    
>>
>>>At 9/24/2007 03:47 PM Monday, you wrote:
>>>
>>>      
>>>
>>>>Hi, Eprime list,
>>>>
>>>>I need a design of an 8 x 8 Latin square. This is *not* an eprime
>>>>question; I just need a picture of how it's done and thought that
>>>>someone on the list may know where to find it.
>>>>        
>>>>
>>>How about http://en.wikipedia.org/wiki/Latin_square
>>>
>>>-- dkm
>>>
>>>---
>>>David McFarlane, Systems Designer
>>>Dept. Psychology, Michigan State University
>>>
>>>      
>>>