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Gaming > Abstract (perfect information, pure strategy) > Re: New Game: T...
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Re: New Game: Torus

by Harald Korneliussen <vintermann@[EMAIL PROTECTED] > Feb 10, 2008 at 12:38 PM

On Feb 10, 5:39 pm, "markste...@[EMAIL PROTECTED]
" <markste...@[EMAIL PROTECTED]
>
wrote:
> > To appreciate the difference, play out the games (with x to move).
>
> Ok.
>
> .   .   .   .
>    o   o   o   o
>  .   .   .   .
>    .   .   .   .
>

You seem to misunderstand what "play out the game" means, and you
conveniently snipped Taylor's diagram (we're trying to show that these
positions aren't identical, remember.) Where are the moves of X in
your diagram?

Say x plays in the second row
> > .   .   o  .
> >   .   .   x   .
> > .   .   o  .
> >   .   .   .   .

Then o can just save the bridge

> > .   .   o  .
> >   .   .o  x   .
> > .   .   o  .
> >   .   .   .   .

on row 4 there is also a virtual connection, look what happens if x
tries to block

> > .   .   o  .
> >   .   o   x   .
> > .   .   o  .
> >   .   x   .   .

o just saves the bridge again, and wins.

> > .   .   o  .
> >   .   o   x   .
> > .   .   o  .
> >   .   x   o   .

Now can you show me how to do that in your diagram?

> >  .   .   .   .
> >    .   o   .   o
> >  .   .   .   .
> >    .   .   .   .

Observe that while there were two direct ways to connect the "o"s in
Taylor's example, in yours there is just one. If x blocks that:


> >  .   .   .   .
> >    .   o   x   o
> >  .   .   .   .
> >    .   .   .   .

.... then o has to seek a different, more complex way of connecting
them.
 




 34 Posts in Topic:
New Game: Torus
"marksteere@[EMAIL P  2008-02-07 12:31:36 
Re: New Game: Torus
Bill Taylor <w.taylor@  2008-02-07 17:45:42 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-07 20:32:33 
Re: New Game: Torus
Bill Taylor <w.taylor@  2008-02-07 20:58:16 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-07 21:59:16 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-07 23:07:24 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-07 23:33:37 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-08 06:41:28 
Re: New Game: Torus
Bill Taylor <w.taylor@  2008-02-09 22:59:26 
Re: New Game: Torus
Harald Korneliussen <v  2008-02-10 02:20:04 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-10 08:39:22 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-10 09:28:43 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-10 09:46:21 
Re: New Game: Torus
Harald Korneliussen <v  2008-02-10 12:38:03 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-10 16:32:45 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-10 17:12:00 
Re: New Game: Torus
Bill Taylor <w.taylor@  2008-02-10 18:39:28 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-10 19:04:34 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-10 19:10:04 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-10 19:18:18 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-10 23:25:28 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-11 07:14:42 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-11 07:42:40 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-11 07:45:49 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-11 08:18:29 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-11 08:56:25 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-11 09:01:38 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-11 09:06:17 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-11 09:09:50 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-11 09:16:07 
Re: New Game: Torus
"marksteere@[EMAIL P  2008-02-11 09:20:24 
Re: New Game: Torus
nickobento@[EMAIL PROTECT  2008-02-11 09:25:22 
Re: New Game: Torus
Bill Taylor <w.taylor@  2008-02-11 19:48:16 
Re: New Game: Torus
steere_mark@[EMAIL PROTEC  2008-02-12 08:39:43 

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tan12V112 Thu Jul 24 6:55:12 CDT 2008.