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

Author: Robert Hyatt

Date: 14:24:27 02/06/03

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On February 06, 2003 at 14:54:57, Marc Bourzutschky wrote:

>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 :)

You're obviously right of course.  :)


>
>>>
>>>>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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