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David Paulowich wrote on Thu, May 10, 2007 04:26 PM UTC:

'My question is rather specific, in the duodecimal variant I am just designing there are standard knights and bishops, and I want the endgame of king & knight & bishop vs lone king to be a win.' - Jörg Knappen, regarding the 50 moves rule.

Sorry to be so late! Your 12x12 board requires at least a 100 moves rule, as the length of a forced checkmate (or other victory) seems to increase in proportion to the number of squares on the board. Here are some known facts on the 8x8 board. K+B+B can take 19 moves to mate. K+B+N can take 33 moves to mate. K+Q versus K+B+B can take as long as 71 moves to force the first capture. K+R+R versus K+Q only takes 15 moves (30 ply) to force the capture of the Queen, but it takes much longer if the defender has a [C]hancellor (Rook + Knight) or a [U]nicorn (Bishop + Nightrider).

	* Fairy endgames with 3 pieces' * Dave McCooey *
     ------------------------------------------------------------------
     |||||        Longest Wins for the Strong Side (WHITE)        |||||
     ------------------------------------------------------------------
Three            Number   Type                                      Side
Piece      Half    Of      Of                                        To
Endgame    MovesPositions Win       Example Position                Move
-------    ----- ------- ------- ---------------------------------- -----

KRRvKQ       30       14 f-captr WK(c8) WR(h2) WR(g8) BK(a1) BQ(d1) WHITE
KRRvKU      202        4 capture WK(b8) WR(d5) WR(h8) BK(d7) BU(e1) BLACK
KRRvKC       87        9 capture WK(d6) WR(a6) WR(a7) BK(g6) BC(d3) WHITE

KQvKBB(xdd) 142       74 capture WK(b8) WQ(a8) BK(e5) BB(e6) BB(f8) BLACK

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