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Chess on an Infinite Plane (abstractcube - vickalan)
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Good luck!
1. (4, 4)
Sorry for the delay. I think I'm back on track now.
1...(4,5)
All good.
2. (3, 4)
Oh this is fun already. The Queen's Gambit!😀 And I'll decline:
2...(3,6)
Was hoping you'd accept, but this should be interesting still. 
3. N(3,3)
Again, sorry for the delay.
3...N(6,6)
No worries.
4. B(6, 4)
4...(5,6)
5. (5, 3)
Sorry for the delay.
No problem. I'm glad you're back. I'll be back soon for my move.
5...(2,6)
I must say these images from your board editor abstractcube look great!!
6. Q(4, -9)
And thank you @Naviary, I really appreciate it!
6...H(8,12)
7. Q(18, 8)
7...C(2,9)
Btw at move 6 you wrote Q(4,-9) but showed Q(4,-7).
At 7 you wrote Q(18,8) but showed Q(19,8).
I'm playing these moves based on the diagram so the last two moves are:
6.Q(4,-7)...H(8,12)
7.Q(19,8)...C(2,9)
Game 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).
Castling: King castles with the guard (rather than the rook). All other rules of castling are the same as in classical chess.
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)
abstractcube plays White. Good luck!