Chess on an Infinite Plane (PixelByPixel - captaintugwash)

(C) (11, 2) => (13, 2)

Board update: Black opens with a hawk move! A whole new category of openings that I don't think has been played yet!

1.Q(4,1)-(-2,-5)...H(1,12)
2.(9,1)-(11,2)...H(4,9)

I see your point with the coordinates. And I'm glad you like the brackets. It will be easier to count from them, just start counting from 8.

You missed white's last move in the diagram above, in case you hadn't seen his post.

Got it, so now:

3.C(11,2)-(13,2)

3... R(10,9)

Sorry, I tried to snipe my move in before you updated! Nvm

The Captain can't help but move his hawks.

(C) (0, 1) => (-2, 2)

4... C(8,10)

They're good pieces.

(C) (-2, 2) => (-4, 2)

I'll wait for a board update, getting a bit ahead of ourselves!

I added four orange brackets. I think that was a good idea and makes it easy to identify the four "classical" corner squares (1,1), (1,8), (8,1), and (8,8).
3.C(11,2)-(13,2)...R(10,9)
4.C(0,1)-(-2,2)...C(8,10)
5.C(-2,2)-(-4,2)

5... H(8,12)

I like the brackets, thank you for indulging my OCD.

(C) (-4, 2) =X (-4, 15)

I'll probably start using the orange brackets for future games. It's the "Captain's board"
5.C(-2,2)-(-4,2)...H(8,12)
6.C(-4,2)x(-4,15)

6... H (5,9)

(C) (13, 2) =X (13, 15)