How many windmills types exist in chess? 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 &quot;game of the century&quot; 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 &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 *

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.
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 &amp; 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.
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.)