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MatPlus.Net Forum General Mating with Bishop and Knight on a large board
 
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(1) Posted by Hauke Reddmann [Friday, Dec 14, 2018 15:11]

Mating with Bishop and Knight on a large board


https://chess.stackexchange.com/questions/1432/kbn-vs-k-checkmate-on-nonstandard-boards

Not convinced I am, young Jedi.

Anyone with a formal algorithm? (It suffices to give one that drives
the king from the wrong to the right corner. I.e., that manages to
get the critical Kc5 Nb4 Be5/Kb3 -with black to move- in time,
and the black king also can't stay on the upper side.)
 
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(2) Posted by Siegfried Hornecker [Friday, Dec 14, 2018 15:23]

Obviously on any board with a correct corner color up to 14x14 the win is trivial, as outlined in the thread.

So it's really just for boards from 16x16 onwards, or possibly 18x18 onwards, that needs to be researched.
 
 
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(3) Posted by ichai [Tuesday, Dec 25, 2018 22:33]; edited by ichai [18-12-26]

Could the method shown here be helpful?
http://matplus.net/start.php?px=1545773081&app=forum&act=posts&fid=xshowf&tid=1290
 
   
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(4) Posted by Hauke Reddmann [Wednesday, Dec 26, 2018 16:39]

Whereas I slap my head for not remembering the posting, the difficulties
in Kriegspiel and large board are due to completely different sources.
I don't think it helps.
 
   
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(5) Posted by ichai [Tuesday, Jul 9, 2019 04:17]

I think it helps.
 
   
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(6) Posted by ichai [Tuesday, Jul 9, 2019 04:28]; edited by ichai [19-07-09]

It looks like there is a kind of parallelism between the extent of our board and the extend of our ignorance.


More seriously, the fact that you can push the black king to the edge in Kriegspiel shows that the method used is effective enough
 
   
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(7) Posted by Juraj Lörinc [Friday, Jul 12, 2019 01:34]

EG says increasing board size does not bother stronger side:
http://www.arves.org/arves/images/PDF/EG_PDF/eg73.pdf
 
   
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(8) Posted by Hauke Reddmann [Friday, Jul 12, 2019 09:31]

Maybe I can talk one of the professors at our university into
my master thesis being a table base generator with variable
board size and a foobar dingbator (insert computer lingo here)
to give the answer once and for all :-)

Hauke
 
 
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MatPlus.Net Forum General Mating with Bishop and Knight on a large board