No.1135 |
Original Problems, Julia’s Fairies – 2016 (II): July – December →Previous ; →Next ; →List 2016(II) Please send your original fairy problems to: julia@juliasfairies.com |
Definition by the author and inventor: (click to show/hide)
Chess4E71:
Bobby Fischer’s Chess960 has recently been added to the Laws, yet in time even this will become tired and stale, and we will turn instead to a fresh challenge: perhaps Chess4E71!
So what is this future format? For each square select a random number from 1 to 13 and either assign a random unit to that square (2×6 possibilities) or possibly keep the square empty (1 possibility). Finally flip a coin to decide which side has the move. Now just somehow play chess from this random starting position. Exciting! The number of possible starting positions is exactly 2*13^64, approximately 4*10^71, which written in scientific E notation is 4E71, hence the name.
Interpretations of the existing rules & conventions
– If a player has no king, they can’t be checkmated. If neither player has a king, then no checkmate is possible. So in a “retro composition” the game ends in dead position, otherwise the game continues until it ends some other way (e.g. stalemate).
– If in the starting position, the player to move is apparently checking or even checkmating the opponent’s king, then he simply moves as normal, bearing in mind that the king can never be captured. A waiting move here is sufficient to maintain the check or checkmate.
– A pawn starting the game on the first to sixth rank can make a double move as its first move. Any pawn making a double move is potentially liable to en passant capture. In a composition, the en passant convention may apply after any double move whatever the rank.
– A pawning starting the game on the first to fourth rank, promotes in the usual way if it reaches the eighth rank. But a pawn starting on the fifth to eighth rank remains a pawn when it reaches the eighth rank, and cannot move further.
New conventions for 4E71
– Pawn double move: A pawn on any rank is permitted to make a double move only if it can be proved that the pawn has not moved previously in the game.
– Pawn promotion: A pawn moving to the eighth rank is permitted to promote to another piece only if it can be proved that it started on the first to fourth rank. If there is no such proof, the pawn remains a pawn.
Interpretations & conventions for zero-rex, apparent check & pawns are now believed to be complete, and are sufficient for existing compositions. Interpretations & conventions to cover multi-rex & castling (which must extend Chess960) will be developed later.
Proposed new convention (applies more broadly than 4E71)
– For a problem to be considered a “retro composition” (for purposes of 50 move rule or dead position), there must be some non-trivial reasoning about the history of the game. It is not sufficient simply to observe that one player is in check. Nor is it sufficient to simply apply a convention, existing or new.
– If a composition comprises twins (with or without a zero position), then the retro status of each twin is considered separately. If the keyword “conjoined twins” is used however, then retro content in one twin is sufficient to render the entire composition a retro.
No.1135 Andrew Buchanan |
Solution: (click to show/hide) |
White Ba1 Pb2c1
Black Kh8 Pc4c5d6e7f8h7
h#5 (3+7) C- |
1.c4-c2 b2-b3 + 2.c5-c3 b3*c3-c4+ {(ep)} 3.d6-d4 c4*d4-d5+{(ep)
}4.e7-e5 d5*e5-e6 + {(ep)} 5.f8-f6 e6*f6-f7 # {(ep)
(C- as Chess4E71 is not implemented in any solving program)}
Clearly we need a convention to cover the pawn double move - see the revised Chess4E71 definition. Under this convention, since we cannot prove that wPb2 has not moved, 1. ... b2-b4? is not permitted, and the only solution is: 1. c4-c2 b2-b3+ 2. c5-c3 b3xc4 ep+ 3. d6-d4 c4xd5 ep+ 4. e7-e5 d5xe6 ep+ 5. f8-f6 e6xf7 ep#. (Author) |