[GAP Forum] [group-pub-forum] 3-net

[Miguel Angel Marco Buzunariz]

With that definition, a 3-net is the same as a latin square. The rows are the 
lines of one pencil. The columns are the lines of the second pencil. And the 
set of all the entries with the same number are the lines of the thirthd 
pencil.
The points would be the entries of the square.

Also, you can construct them geometrically over an affine plane... but not over 
the reals. It can be done over finite fields.


El Martes, 20 de agosto de 2013 16:24:54 muhammad shah escribió:
> Dear Arun,
> Excellent GAP codes for 3-web written by Dr. Petr are available at
> http://web.cs.du.edu/~petr/gap_routines.html
> (3-Webs and basic operations on 3-Webs)
> and for a nice visualization of 3-web see the paper of 
> H. I. Erdorgan (A QUASI-GROUP ASSOCIATED WITH THE WEB
> FORMED BY THREE PENCILS OF CIRCLES WHICH
> BELONG TO THE SAME BIJNDLE).
> Regards,
> Muhammad Shah
> 
> Date: Tue, 20 Aug 2013 00:30:28 -0700
> From: amukti2000 at yahoo.com
> To: group-pub-forum at lists.maths.bath.ac.uk
> Subject: [group-pub-forum] 3-net
> 
> Dear Pubbers,                       I am not able to visualize a 3-net of 
order 3. Taking three mutually disjoint sets of non-intersecting  lines , 
every line should pass through 3 points and every point should lie on exactly 
one line of each class. Can anybody give an example with a diagram ? Thanking 
you in advance.ArunIndia Dr. Arun Muktibodh 		 	   		  
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