Thanks for your first move (by PM):
1. C(9,1)-(8,3)
After this, you can post moves here (easier, while we both see the diagram).
By the way, please double-check the diagram after each move. It's possible for me to make a mistake (like accidentally leaving a moved piece in place, which would result in one piece becoming "two" pieces).
My follow-up move is:
1...(5,5)
This thread is for a game of "Chess on an Infinite Plane" between HaleBopp2017 and vickalan.
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:

A red bracket indicates the a1 (1,1) square.
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#). The "a1" square is (1,1) and is marked on the chess diagram with a small red bracket. Increasing files are to the right, and increasing ranks are toward the back.
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)
HaleBopp2017, you may play White.