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Simple mates with fairy pieces

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dax00

@HGMuller Would you mind checking to see if the following is a forced mate: (king + bishop + gold) vs king ... on a 12×12 board

evert823
dax00 wrote:

@HGMuller Would you mind checking to see if the following is a forced mate: (king + bishop + gold) vs king ... on a 12×12 board

Is that a Gold that can still promote to Rook?

dax00
evert823 wrote:
dax00 wrote:

@HGMuller Would you mind checking to see if the following is a forced mate: (king + bishop + gold) vs king ... on a 12×12 board

Is that a Gold that can still promote to Rook?

No, bishop (promoted from leopard) and gold (promoted from pawn)

tacticspotter
dax00 写道:

@HGMuller Would you mind checking to see if the following is a forced mate: (king + bishop + gold) vs king ... on a 12×12 board

What are gold?I don’t think they are fairy pieces

dax00
tacticspotter wrote:
dax00 写道:

@HGMuller Would you mind checking to see if the following is a forced mate: (king + bishop + gold) vs king ... on a 12×12 board

What are gold?I don’t think they are fairy pieces

Gold general, as found in shogi and its variants.

It moves 1 square orthorgonally, or 1 square diagonally forward.

tacticspotter
dax00 写道:
tacticspotter wrote:
dax00 写道:

@HGMuller Would you mind checking to see if the following is a forced mate: (king + bishop + gold) vs king ... on a 12×12 board

What are gold?I don’t think they are fairy pieces

Gold general, as found in shogi and its variants.

It moves 1 square orthorgonally, or 1 square diagonally forward.

I know but isn't here talking about fairy pieces?

dax00

My main game is chu shogi. There, a bishop exists as a promoted piece, which it doesn't in regular shogi. In any case, I've been trying to figure out all the not too complicated endgames for which it isn't easy to tell whether or not it's a theoretical win or draw. Chu shogi endgames have not been thoroughly studied. HGMuller very conveniently has a way to check these things, and this is an easy platform to contact him at, with the upside of spreading more awareness about the chu shogi pieces.

I would prefer to ask about more interesting 3v2 endgames, but the calculation required may be too great, especially considering chu shogi's repetition rule, which would be a pain to program.

HGMuller

K+B+G vs K is 100% won (strong side to move) and 86.5% lost (weak side to move).

This is not surprising: a Bishop should be able to win in combination with any unbound piece, no matter how weak, on any size board. The point is that K+B can dynamically confine the bare King in a corner, the strong King guarding the holes in the Bishop diagonal through which the bare King could cross it. Sooner or later the bare King will have to reverse direction in its attempts to escape, because it runs into an edge. At that point the strong side has one free move, which he can use to approach his second piece.

Of course a Gold is a pretty strong piece in itself, already nearly capable of forcing checkmate; therefore K+B+G vs K can go much faster as the described process. The worst case takes 47 moves.

Play-banned

The mate isn't possible unless the extra piece(s) can control 2 adjacent squares side by side and NOT diagonally.

ArchbishopCheckmate

Mate in72

 

ArchbishopCheckmate

A mate in 268 where it takes 98 moves to advance the pawn one square

Duck

Jelly has a big IQ grin.png

Mr_Check58

Mate with king? O-O but doesn't that mean king moving into check?

Play-banned

in fact, the royal king is not needed to mate with an amazon (the amazon can mate herself without the help of the king)