Chess on an Infinite Plane (ChessNerd1836 - captaintugwash)

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vickalan

This is game-1 of the 2020 Tournament "Chess on an Infinite Plane".

Rules:

The Pieces:

Black and White each have the following pieces (quantity and name):
1 king
1 queen
2 chancellors
2 rooks
2 bishops
2 knights
2 guards
2 hawks
24 pawns

All pieces move as in classical chess, with the "extra" three pieces moving as follows:

Chancellor (C) - Moves and captures as rook + knight.

Hawk (H) - Leaps exactly 2 or 3 squares in any orthogonal or diagonal direction. The leaping move means it can jump over other pieces.

Guard (G) - Moves and captures the same as a king but is not affected by check.

Pawns play the same and promote at the same rank as in classical chess. White pawns promote at rank 8, and black pawns promote at rank 1. Pawns can promote to chancellor, hawk, or guard in addition to queen, rook, bishop, or knight. Pawns may capture and be captured en passant with the same rules as in classical chess.

Board Setup:
Orange brackets identify the four "classical" corner squares (1,1), (1,8), (8,1), and (8,8).

There is no castling.

There is no fifty-move rule. Draws can only occur from stalemate, threefold repetition, agreement, or a proven case of insufficient material to force checkmate.

All other rules are the same as in classical chess.

Move Notation:
Numeric coordinates are used to identify piece locations as (file#, rank#). Parenthesis are used around each coordinate. Three examples of a move notation:
1) A rook moving from (8,4) to (1,4):
     R(8,4)-(1,4) or R(1,4)
2) A rook moving from (1,4) and capturing a piece on (0,4):
     R(1,4)x(0,4) or Rx(0,4)
3) A pawn advancing from (-1,7) to (-1,6):
     (-1,7)-(-1,6) or (-1,6)

ChessNerd plays White. Good luck to both players!happy.png

captaintugwash

Good luck ChessNerd!

ChessNerd1836

H(-2,-3)

captaintugwash

Opening with a hawk. I like it.

1... H(8,12)

ChessNerd1836

H(1,0)

captaintugwash

2... H(5,9)

ChessNerd1836

H(7,-3)

captaintugwash

3... H(1,12)

vickalan

Please note I have White's move 3 as H(8,-3), not H(7,-3). If this is not what ChessNerd1836 intended then we should go back to start of move 3.
1.H(-2,-3)...H(8,12)
2.H(1,0)...H(5,9)
3.H(8,-3)...H(1,12)

captaintugwash

I didn't notice the error, I'm on auto-pilot! Obviously I'm happy for white to make whatever move he intended move 3, which I assume to be H(8,-3).

soumyakothari21

https://www.youtube.com/watch?v=OcnnGt_dDvc- chess analysis pls watch

captaintugwash

Hey ChessNerd, it's on you. You still need to clarify your last move, you posted an illegal move (though it's obvious what you were trying to do).

ChessNerd1836

Oh whoops my bad. (8,-3)

ChessNerd1836

Then 4. H(8,0)

torbjo

Nice! I like your creativity.

But maybe an infinite board implies a theoretical draw? I.e., it might be posible to prove that the starting position has "insufficient material to force checkmate". That might be true for classical chess to, but maybe the infinity make such a proof more feasible.

captaintugwash

It might be a theoretical draw from starting position with perfect play by both, that we will probably never know. But there is most certainly sufficient material to force checkmate.

 

4... Q(4,25)

ChessNerd1836

H(4,0)

captaintugwash

5... H(4,9)

ChessNerd1836

H(5,0)

vickalan

4.H(8,0)...Q(4,25)
5.H(4,0)...H(4,9)
6.H(5,0)