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Subject: Re: KPKP .nbw & .nbb differ ... yes symmetry

Author: Marc Bourzutschky

Date: 11:54:57 02/06/03

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On February 06, 2003 at 14:42:38, Robert Hyatt wrote:

>On February 06, 2003 at 13:24:51, Dieter Buerssner wrote:
>
>>On February 06, 2003 at 13:14:28, Robert Hyatt wrote:
>>
>>>I hope that was my point.  :)  (BTW, I think the king is limited to 1/4 of the
>>>board,
>>>not 1/2...)  Because you can do vertical/horizontal reflections to put the white
>>>king
>>>in the a1-a4-d4-d1-a1 corner of the board...)
>>
>>I cannot see, how such a rectangle would be enough.
>
>I am not quite sure what you mean.  You can limit the white king to a single
>triangle of 10 squares with no pawns, because then you can reflect the board
>along
>three different axis points.  But when you have pawns, you still ought to be
>able
>to limit the king to 1/4 of the board, as vertical/horizontal reflections do not
>make
>pawns move sideways, as they would when you try to reflect in third axis.
>
>It is just the first cut at reducing the overall size...
>
>

...but pawns can't move backwards either, eliminating another axis.  A white
pawn on e7 is quite different from a white pawn on e2 :)

>>
>>>This means more work as now you have to make each move, and then probe.
>>
>>This can be (and is in other cases) implemented in the probing code of Eugene. A
>>
>>Regards,
>>Dieter



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