Author: Marc Bourzutschky
Date: 12:09:41 02/12/06
Go up one level in this thread
On February 12, 2006 at 12:45:38, Duncan Roberts wrote: >On February 12, 2006 at 12:04:45, Marc Bourzutschky wrote: > >>On February 11, 2006 at 04:53:29, h.g.muller wrote: >> >>>Interesting. I did a lot of 4- and 5-men TBs including fairy pieces (mainly >>>leapers) in a systematic effort to assign an accurate end-game value to pieces >>>(in absense of pawns). It never occurred to me to use non-standard board-size, >>>though. I guess the 10x8 board is of practical interest, due to >>>Capablanca/Gothic Chess. >>> >>>Is your (or Marc's)work published somewhere? >> >>Vaclav Kotesovec has done a lot of work on fairy pieces, including leapers on >>generalized boards: >> >>http://web.telecom.cz/Vaclav.kotesovec/ >> >>John Beasley and I looked at Q vs. R endings on generalized boards, because the >>lack of an obvious systematic winning procedure on 8x8 suggested o John it may >>not be a general win on larger boards. Indeed, it is only a general win on >>boards up to 15x15, but on 16x16 it is in general a draw. John had also thought >>it would be a draw on 8x12 (which is used in a variant called "Modern Courier >>Chess") but the queen still wins there. This was published in the "British >>Endgame Study News" in June and September 2004. >> >>Regarding leapers, John Beasley, Noam Elkies, and I have studied "doublet >>leapers", which are pieces that combine two leapers into one piece. There is >>only a small number of doublet leapers that can force mate, and only on board up >>to 16x16. This was published in "Variant Chess" February 2005. >> >>We have also looked at "triplet leapers", combining three leapers into one. >>Here one can construct cases that win on an arbitrarily large board. However, >>it is only a finite set, and there are some triplets for which we are not sure >>whether they are a general win or not. I have run tablebases on up to 90x90 for >>some of these. >> >>-Marc > >what is your opinion on this post ? >http://www.talkchess.com/forums/1/message.html?485845 > >duncn As someone else posted, Eiko Bleicher's "freezer" basically moves in that direction. The vast majority of real life positions can be analyzed without going to the trouble of traditional full information tablebases. However, there always seem to remain a small number of positions where this will not work. Most of these exceptional positions are endings that are draws in general, but have some positions that are complicated wins. krnknn and I believe krrnkrr belong to this category. -Marc
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