White to move. Can you find the fastest checkmate combination? 
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B*h7+ Q*h7
Rg4+ Kh8
Q*f6+
Bxh7+ Qxh7 Rg4+ if Kh8 Qxf6+ Qg7 Qxg7# or if after Rg4+ Kf7 Qxh7+ Kf8 or e8 Rg8#
TFK
there are also other possible continuations Bxh7+ Kh8 Bf5 discovered + if Kg8 Rg4+ Kf7 Rg7+ Ke8 Qh8+ Qf8 Bg6# and Bxh7+ Kf7 Qg6+ Kf8 Qg8#
TFK
Hi Susan
1. Bxh7, Kh8[A: 1. …, Kf7 2. Qg6, Kf8 3. Qg8#; B: 1. …, Qxh7 2. Rg4, Kh8 (2. …, Kf7 3. Qxh7, Ke8 4. Rg8#)3. Qxf6, Qg7 4. Qxg7#]
2. Bb1, Kg8
3. Rg4, Kf7
4. Qg6, Kf8
5. Qg8#
Good day
what about
1 Rg4 Kh8
2 Bxh7 Qxh7
3 Qxf6 Qg7
4 Qxg7#
@kitty
after
1.rg4+ kh8
2.bxh7 …
black has the strong answer
2…. qf8!
3.rg8+ qxg8
4.bxg8 kxg8
no mate … but = by perpetual check – i suppose ^^
greetings, vohaul
Rg4+ is the key to this position, I think we would all agree.
Vohaul gave:
1 Rg4+ Kh8
2 Bxh7 Qf8!
3 Rg8+! Qxg8
4 Bxg8+ (discovered) Kxg8
Now the position has:
White Queen & Rook to Black 2 Rooks, Bishop, and Knight, White 5 pawns to 4 and the f6-pawn will disappear soon; White rook stuck because he cannot develop on d4 or d5 due to the knight and e6-pawn; Black King out in the open but not in immediate danger. Possible decent moves include:
5 Qg6+
5 Qxf6
5 f4
5 g4
f h4
The White King needs some luft to avoid a back rank surprise mate and the movement of the pawns forward will eventually create development for the rook.
The most powerful 5 Qg6+ leads to a variation, Kh8 or Kf8. I played out …Kf8 first:
5 Qg6+ Kf8?
6 Qxf6+ Kg8
7 h4 Rf8
8 Qg6+ Kh8
9 Rxd7 mate in one…
10 Qh7#.
Or, this is ugly:
5 Qg6+ Kh8…
6 Qxf6+ Kh7
7 g4 Rg8
8 Qh4+ Kg6
9 Qh5+ Kf6
10 Qh6+ Ke5
11 f4+ (I love pawn checks!) Ke4
12 Rxd7 Rxg4+
13 Kf2 e5
14 fxe6 Nxe6
15 Rd4+ Kf5
16 Rxg4 Kxg4
17 Qe6+ Kg5
18 Qxc8 Ng4+
19 Kg3 Nxe3
20 Qc5+ Nf5+
21 Kf3 b5
22 h4+ Kxh4
23 Qxf5 …a hopeless b4
24 Qg4#
Any improvements, please post!
An improvement:
Following
5 Qg6+ Kf8?
6 Qxf6+ Kg8
7 h4 Rf8
8 Qg6+ Kh8
9 Rxd7
the improvement is the comment: putting Black in a pickle and mate is inevitable. Mate in one is false.
After 1.Rg4+ Kh8 2.Bxh7 Qf8 3.Rg8+ Qxg8 4.Bg6+ Qh7 (the only move, white has 5.Qxh7#)