Author: Duncan Roberts
Date: 09:45:38 02/12/06
Go up one level in this thread
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
This page took 0 seconds to execute
Last modified: Thu, 15 Apr 21 08:11:13 -0700
Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.