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Subject: Re: KBN vrs K on 10x10 board -- Mate in 47

Author: Bruce Moreland

Date: 09:16:45 09/22/00

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On September 22, 2000 at 08:25:29, Dave Gomboc wrote:

>On September 20, 2000 at 22:47:46, Bruce Moreland wrote:
>
>>On September 20, 2000 at 19:17:52, Uri Blass wrote:
>>
>>>You may be right and the numbers of Bruce in 12*12 board suggest that you are
>>>right.
>>>
>>>I did not learn seriously the way to mate KBN vs K and I only know that there is
>>>a stage when the king can escape from the last rank by Kd8-e8-f7 only to get
>>>later to it again.
>>
>>That was what I was concerned about, too.  If black tries to go into a large
>>radius circle, and hits the edge of the board and is trapped, it might imply
>>that if the board is bigger, eventually there is enough space for the circle to
>>go all the way around the board, at which point the game is a draw.
>>
>>Unfortunately, it would take a large effort to do larger boards.  12 x 12 isn't
>>that hard, but much larger and the files become enormous.
>>
>>bruce
>
>I'd be surprised if KBNK was a win at really large board sizes.  Of the stronger
>side's three pieces, only one of them is long-range.
>
>Dave

In KNN vs KP, you can chase the king into the corner with one knight.  I think
it is a win with any even-numbered board size.  I wrote another post showing
that it is a win on 12 x 12, and that is pretty big.  KQ vs KR is also a win,
which I find a little more surprising.

bruce




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