Chess on an Infinite Plane (icositetrachoron - vickalan)

10. B(4, 2)

10.B(4,2)...B(8,6)

11. Bx(8, 6)

11.Bx(8,6)...Cx(8,6)

12. Q(5, 2)

12.Q(5,2)...C(8,4)

13. Nx(4, 5)

13.Nx(4,5)...Qx(4,5)

I'm new to this variant so expect me to make blunders. 
14. H(11, -3)

This game is non-rated, so it's no big deal. And if I couldn't reply with my queen I see my (5,6) pawn is pinned, so you made a good attempt for a pawn. But now, you might have lost another pawn:
14.H(11,-3)...Cx(4,4)

15. Q(5,3)

15.Q(5,3)...(6,5)

16. H(-2, -3)

16.H(-2,-3)...(5,5)

17. C(1, 3)

17.C(1,3)...(5,4)

18. B(3, 4)

What tool do you use to draw the boards?

I just use MS Paint. It's provided with Windows. I put the icon on my taskbar to jump to it quickly. Let me know if you try it, and have any trouble editing diagrams.

18.B(3,4)...Cx(3,4)