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Subject: Re: King, rook pawn and wrong bishop endgames

Author: Christophe Theron

Date: 23:41:09 10/18/00

Go up one level in this thread


On October 19, 2000 at 02:26:47, Oliver Roese wrote:

>On October 19, 2000 at 01:06:03, Uri Blass wrote:
>
>>On October 19, 2000 at 00:51:19, Christophe Theron wrote:
>>
>>>On October 18, 2000 at 16:31:54, Ricardo Gibert wrote:
>>>
>>>>On October 18, 2000 at 15:57:10, Uri Blass wrote:
>>>>
>>>>>On October 18, 2000 at 15:52:09, Ricardo Gibert wrote:
>>>>>
>>>>>>On October 18, 2000 at 14:14:20, Uri Blass wrote:
>>>>>>
>>>>>>>On October 18, 2000 at 12:34:42, Ricardo Gibert wrote:
>>>>>>>
>>>>>>><snipped>
>>>>>>>>The algorithm to determine whether this type of position is drawn is quite
>>>>>>>>simple. With the h-pawn, Black draws if the K can get into the four corner
>>>>>>>>squares g7,g8,h7,h8. Otherwise, the outcome is not assured. Note, it is not
>>>>>>>>enough for the King to get in front of the pawn as the following position
>>>>>>>>illustrates:
>>>>>>>
>>>>>>>I can give another rule:
>>>>>>>Blacks draw if it is black to move and the distance between the black king and
>>>>>>>the corner in king moves is smaller than the ditance between the corner and the
>>>>>>>white pieces except the bishop(white king in king moves and white pawn in pawn
>>>>>>>moves)
>>>>>>>
>>>>>>>If it is white to move then use distance-1 instead of distance for white.
>>>>>>>
>>>>>>>Uri
>>>>>>
>>>>>>I like your rule. It's interesting, but it needs to be amended somewhat:
>>>>>>
>>>>>>[D]4B3/8/8/8/8/2k5/7P/K7 b - - 0 0
>>>>>
>>>>>This position is not a draw by my rule.
>>>>>The distance of the white pawn to the corner in pawn moves is equal(and not
>>>>>smaller) to the distance of the black king to the corner in king moves.
>>>>
>>>>Yep, I goofed.
>>>>
>>>>>
>>>>>>
>>>>>>as you can see, your rule is a little dangerous. There may be other examples,
>>>>>>but this is what I came up with in a about a minute. Still your rule is
>>>>>>promising.
>>>>>>
>>>>>>There are some positions your rule does not give as drawn, but "my" rule does.
>>>>>>The reverse is also true of course, so maybe the rules should be combined?
>>>>>
>>>>>I agree that the rules can be combined.
>>>>>
>>>>>Uri
>>>
>>>
>>>
>>>This discussion is very interesting. So what's the ultimate rule?
>>>
>>>I had to work on this recently in Chess Tiger (and Gambit Tiger of course), and
>>>I'm not sure my own rule is as good as yours.
>>>
>>>Waiting eagerly for the next post...
>>>
>>>
>>>
>>>    Christophe
>>
>>The logic behind my rule is simple
>>
>>If black king is closer to the corner than the white king and the white pawn
>>nothing can stop it if it begins a trip to the corner.
>>
>>It can do the trip using squares that the bishop does not control and the other
>>pieces cannot see these squares.
>>
>>Uri
>
>Looks good.
>And is harp, since i have counterexamples if one of the constraints is relaxed
>by one.
>
>Oliver



It looks indeed fine.

Did you learn this rule, Uri, or did you invent it yourself?

I have never heard it before.



    Christophe



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