user10601: I'm interested in chess patterns similar to the windmill. If you think there are none more than the ones that I'm listing I'm interested in a proof that satisfies me to stop looking for more of them. Wikipedia gives this definition for a windmill:

In chess, a windmill is a tactic in which a combination of discovered
checks and regular checks, usually by a rook and a bishop, can win
massive amounts of material. This tactic is also sometimes referred to
as a see-saw.

I know two windmills. First the one in the "game of the century" between Fisher and Byrne (moves between 18 and 23 black does a windmill), it involves a bishop and a knight (also a rook, but it's not essential. For example see this game for a windmill knight-bishop without white rook.
[FEN "K7/8/8/2B5/4N3/7q/6pp/3r1b1k w - - 0 9"]

9.Nf2+ Kg1 10.Nxh3+ Kh1 11.Nf2+ Kg1 12.Nxd1+ Kh1 13.Nf2+ Kg1 14.Ne4+ Kh1 15.Nf2+ Kg1 16.Ng4+ Kh1 *

This can also be seen as a royal fork constantly attacking the black king, but windmill contains and "mechanic" that allows the knight to do whatever it wants but black is still restricted to move his king back and forth.
A second example is this article.
The other type of windmill is of this game. Starts at move 26, white does a windmill this time with rook and a bishop.
I want to know if you can share more types of windmills with me. I realized you can substitute the bishop that remains still in both tecniques (B+R & B+N) with a queen carrying out the same function. So I have 4 types. Do you know similar positions?
PD: I realized also that if I change the bishop for a queen that allows sometimes checkmate, for example smothered checkmate can be seen as a windmill with the queen.

user550: I do not have to time to create a diagram of every type, but it seems intuitive to me that it would be possible to contrive a windmill from any pair of (non-pawn) pieces where:

The stationary piece is a slider
The moving piece is any other type of piece not capable of attacking along the axis at which the stationary piece will give check


user25172: There is a game (Alekhine vs Fletcher, London simultaneous 1928) where knight and bishop win (with queen sacrifice).
[FEN ""]
[Event "Simul, 6b"]
[Site "Gambit Chess Rooms, London ENG"]
[Date "1928.06.08"]
[EventDate "?"]
[Round "?"]
[Result "1-0"]
[White "Alexander Alekhine"]
[Black "Alan Linnell Fletcher"]
[ECO "A31"]
[WhiteElo "?"]
[BlackElo "?"]
[PlyCount "63"]
[StartPly "50"]

1. Nf3 Nf6 2. c4 c5 3. d4 Nc6 4. d5 Nb8 5. Nc3 d6 6. g3 g6
7. Bg2 Bg7 8. O-O O-O 9. Bf4 h6 10. Qd2 Kh7 11. e4 Nh5 12. Be3
Nd7 13. Rae1 Rb8 14. Nh4 Ndf6 15. h3 Ng8 16. g4 Nhf6 17. f4 e6
18. Nf3 exd5 19. cxd5 b5 20. e5 b4 21. Nd1 Ne4 22. Qd3 f5
23. e6 Qa5 24. gxf5 gxf5 25. Nh4 Ba6 26. Qxe4 fxe4 27. Bxe4+
Kh8 28. Ng6+ Kh7 29. Nxf8+ Kh8 30. Ng6+ Kh7 31. Ne5+ Kh8
32. Nf7# 1-0


user9684: An example where the Bishop is the windmill piece.

[fen "7R/kr4P1/5P2/4P3/3P4/b1P5/P1PP4/K2R4 b - - 0 0"]

1...Bb2+ 2. Kb1 Bxc3+ 3. Kc1 Bb2+ 4. Kb1 Bxd4+ 5. Kc1 Bb2+ 6. Kb1 Bxe5+ 7. Kc1 Bb2+ 8. Kb1 Bxf6+ 9. Kc1 Bb2+ 10. Kb1 Bxg7+ 11. Kc1 Bb2+ 12. Kb1 Bxh8+

Since the requirement is that the windmill and the discovered piece move differently that is two with Bishop, four with Knight, and two with Rook as the windmill piece, for a total of 8 types of windmill attacks.
EDIT:  Inserting windmill position with Rook and Knight.


[FEN "5rk1/R7/6N1/4p3/5p1p/8/8/K5R1 w - - 0 1"]

1. Nxh4+ Kh8 2. Ng6+ Kg8 3. Nxf4+ Kh8 4. Ng6+ Kg8 5. Nxe5+ Kh8 6. Ng6+ Kg8 7.
Nxf8+ *



user8860: Yet more possibilities . . .
: Two-way windmill, with either Rook or Bishop as the front piece;
e.g. with a Rook:
5n2/3bb2k/6pp/4B1pr/8/8/8/5RK1 w - - 0 0

1. Rf7+ Kg8
2. Rg7+ Kh8
3. Rxe7+ Kg8
4. Rg7+ Kh8
5. Rxd7+ Kg8
6. Rg7+ Kh8
7. Rxg6+ Kh7
8. Rg7+ Kh8
9. Rxg5+ Kh7
10. Rxh5

(it's important to capture g5 last, else Black has Rh5xe5)
: Windmill against a piece other than a King:
5kr1/6pp/8/4N1p1/6p1/6P1/6BP/6K1 w - - 0 0

1. Bd5! Rh8 
2. Nf7! Rg8 
3. Nxg5 Rh8 
4. Nf7 Rg8 
5. Ne5 Rh8 
6. Nxg4

(with better winning chances than the immediate 1 Nxg4)
: That means that even the King can be the front piece of a
windmill of sorts against a Knight:
8/8/1n1p1p2/3K1k2/8/1P6/6B1/8 w - - 0 0

1. Kc6! Na8
2. Kxd6 Nb6
3. Kc7

(or first 3. Bb7 and then 4. Kc7(c6); if 1...Nc8 then 2 Bh3+ wins.)

10601: <p>I'm interested in chess patterns similar to the <a href="https://en.wikipedia.org/wiki/Windmill_(chess)" rel="noreferrer">windmill</a>. If you think there are none more than the ones that I'm listing I'm interested in a proof that satisfies me to stop looking for more of them. Wikipedia gives this definition for a windmill:</p>
<blockquote>
<p>In chess, a windmill is a tactic in which a combination of discovered
checks and regular checks, usually by a rook and a bishop, can win
massive amounts of material. This tactic is also sometimes referred to
as a see-saw.</p>
</blockquote>
<p>I know two windmills. First the one in the <a href="http://www.chessgames.com/perl/chessgame?gid=1008361" rel="noreferrer">&quot;game of the century&quot; between Fisher and Byrne</a> (moves between 18 and 23 black does a windmill), it involves a bishop and a knight (also a rook, but it's not essential. For example see this game for a windmill knight-bishop without white rook.</p>
<pre><code>[FEN &quot;K7/8/8/2B5/4N3/7q/6pp/3r1b1k w - - 0 9&quot;]

9.Nf2+ Kg1 10.Nxh3+ Kh1 11.Nf2+ Kg1 12.Nxd1+ Kh1 13.Nf2+ Kg1 14.Ne4+ Kh1 15.Nf2+ Kg1 16.Ng4+ Kh1 *
</code></pre>
<p>This can also be seen as a royal fork constantly attacking the black king, but windmill contains and &quot;mechanic&quot; that allows the knight to do whatever it wants but black is still restricted to move his king back and forth.</p>
<p>A second example is <a href="https://www.chess.com/chessopedia/view/windmill" rel="noreferrer">this article.</a></p>
<p>The other type of windmill is of <a href="http://www.chessgames.com/perl/chessgame?gid=1100063" rel="noreferrer">this game</a>. Starts at move 26, white does a windmill this time with rook and a bishop.</p>
<p>I want to know if you can share more types of windmills with me. I realized you can substitute the bishop that remains still in both tecniques (B+R &amp; B+N) with a queen carrying out the same function. So I have 4 types. Do you know similar positions?</p>
<p>PD: I realized also that if I change the bishop for a queen that allows sometimes checkmate, for example smothered checkmate can be seen as a windmill with the queen.</p>
 550: <p>I do not have to time to create a diagram of every type, but it seems intuitive to me that it would be possible to contrive a windmill from any pair of (non-pawn) pieces where:</p>

<ul>
<li>The stationary piece is a slider</li>
<li>The moving piece is any other type of piece not capable of attacking along the axis at which the stationary piece will give check</li>
</ul>
 25172: <p>There is a game (<a href="https://www.chessgames.com/perl/chessgame?gid=1012556" rel="nofollow noreferrer">Alekhine vs Fletcher, London simultaneous 1928</a>) where knight and bishop win (with queen sacrifice).</p>
<pre><code>[FEN &quot;&quot;]
[Event &quot;Simul, 6b&quot;]
[Site &quot;Gambit Chess Rooms, London ENG&quot;]
[Date &quot;1928.06.08&quot;]
[EventDate &quot;?&quot;]
[Round &quot;?&quot;]
[Result &quot;1-0&quot;]
[White &quot;Alexander Alekhine&quot;]
[Black &quot;Alan Linnell Fletcher&quot;]
[ECO &quot;A31&quot;]
[WhiteElo &quot;?&quot;]
[BlackElo &quot;?&quot;]
[PlyCount &quot;63&quot;]
[StartPly &quot;50&quot;]

1. Nf3 Nf6 2. c4 c5 3. d4 Nc6 4. d5 Nb8 5. Nc3 d6 6. g3 g6
7. Bg2 Bg7 8. O-O O-O 9. Bf4 h6 10. Qd2 Kh7 11. e4 Nh5 12. Be3
Nd7 13. Rae1 Rb8 14. Nh4 Ndf6 15. h3 Ng8 16. g4 Nhf6 17. f4 e6
18. Nf3 exd5 19. cxd5 b5 20. e5 b4 21. Nd1 Ne4 22. Qd3 f5
23. e6 Qa5 24. gxf5 gxf5 25. Nh4 Ba6 26. Qxe4 fxe4 27. Bxe4+
Kh8 28. Ng6+ Kh7 29. Nxf8+ Kh8 30. Ng6+ Kh7 31. Ne5+ Kh8
32. Nf7# 1-0
</code></pre>
 9684: <p>An example where the Bishop is the windmill piece.</p>

<pre><code>
[fen "7R/kr4P1/5P2/4P3/3P4/b1P5/P1PP4/K2R4 b - - 0 0"]

1...Bb2+ 2. Kb1 Bxc3+ 3. Kc1 Bb2+ 4. Kb1 Bxd4+ 5. Kc1 Bb2+ 6. Kb1 Bxe5+ 7. Kc1 Bb2+ 8. Kb1 Bxf6+ 9. Kc1 Bb2+ 10. Kb1 Bxg7+ 11. Kc1 Bb2+ 12. Kb1 Bxh8+
</code></pre>

<p>Since the requirement is that the windmill and the discovered piece move differently that is two with Bishop, four with Knight, and two with Rook as the windmill piece, for a total of 8 types of windmill attacks.</p>

<p>EDIT:  Inserting windmill position with Rook and Knight.</p>

<pre><code>

[FEN "5rk1/R7/6N1/4p3/5p1p/8/8/K5R1 w - - 0 1"]

1. Nxh4+ Kh8 2. Ng6+ Kg8 3. Nxf4+ Kh8 4. Ng6+ Kg8 5. Nxe5+ Kh8 6. Ng6+ Kg8 7.
Nxf8+ *

</code></pre>
 8860: <p>Yet more possibilities . . .</p>

<p>: Two-way windmill, with either Rook or Bishop as the front piece;
e.g. with a Rook:</p>

<pre><code>5n2/3bb2k/6pp/4B1pr/8/8/8/5RK1 w - - 0 0

1. Rf7+ Kg8
2. Rg7+ Kh8
3. Rxe7+ Kg8
4. Rg7+ Kh8
5. Rxd7+ Kg8
6. Rg7+ Kh8
7. Rxg6+ Kh7
8. Rg7+ Kh8
9. Rxg5+ Kh7
10. Rxh5
</code></pre>

<p>(it's important to capture g5 last, else Black has Rh5xe5)</p>

<p>: Windmill against a piece other than a King:</p>

<pre><code>5kr1/6pp/8/4N1p1/6p1/6P1/6BP/6K1 w - - 0 0

1. Bd5! Rh8 
2. Nf7! Rg8 
3. Nxg5 Rh8 
4. Nf7 Rg8 
5. Ne5 Rh8 
6. Nxg4
</code></pre>

<p>(with better winning chances than the immediate 1 Nxg4)</p>

<p>: That means that even the King can be the front piece of a
windmill of sorts against a Knight:</p>

<pre><code>8/8/1n1p1p2/3K1k2/8/1P6/6B1/8 w - - 0 0

1. Kc6! Na8
2. Kxd6 Nb6
3. Kc7
</code></pre>

<p>(or first 3. Bb7 and then 4. Kc7(c6); if 1...Nc8 then 2 Bh3+ wins.)</p>
