Glee Chessic Sense
1.d4 Nf6
2. c4 e6
3. Nc3 Bb4
4. a3 Bxc3+
5. bxc3 b6
6. f3 Ba6
7. e4 Nc6
8. Bd3 Na5
9. Qe2 Qc8
10. Nh3 c5
11. d5 e5
12. f4 d6
13. O-O Nb3
14. Rb1 Nxc1
15. Rbxc1 Qd7
16. fxe5 dxe5
17. a4 O-O
18. Rf5 Rae8
19. Rcf1 Bc8
20. Ng5 Qxa4
21. Rxf6 gxf6
22. Nxh7 Kxh7
23. Qh5+ Kg7
(Black offers draw)
24. Qh4 Rg8
1/2-1/2 <—Agreed now?
I know you were hoping for Rh8, mindlessly checking the White Queen and eventually getting mated by 25. Qxf6+ Kh7 26. Qxf7+ Kh6 27. Rf6+ Kg5 28. Qg6+! (not Rg6+) Kh4 29. g3+! Kh3 30. Bf1#
You’ve gotta love it when the problem piece returns to its original square to deliver mate, eh?
I read glee’s spoiler box, and I see he saw the same drawing line(s) that I did (and thus why I offered the draw), so I figure I’ll just comment on why Rg8 is the right move. The main reason is that it prevents any checks on the g-file, whereas Rh8 just guards the h-file…a place white has no problem attacking from the side. It also clears away f8 for my king, so in certain lines, the Black king can squirt out of danger via f8-e7-d7, etc.
Then there’s the concept of simply hiding behind my rook after Rg7. With a rook on any N2 square, the king can hide in the corner or any adjacent square and be relatively safe. Finally, if White doesn’t check right away and repeatedly, my g7 rook can be defended when my queen comes back to the 7th rank, assuming the f7 pawn was taken.
Lastly, the g rook attacks g2 and g3. Should White try to bring the other rook (or bishop, somehow) into the attack via f3-g3-h3, my Queen can check at d1 and skewer the g2 square next move. This turns the tables on White and yields at least a perpetual check.
Finally, one should note the “elementary” idea that any trades help the defender, and after sac’ing a knight and rook, White’s tank is running on fumes. If he trades rooks in any line by, say, putting a rook on g3, he’ll have to settle for perpetual or face a mating counter-attack. “You can’t mate with one piece,” they say.