Maybe it's difficult for engines

[peter]

....
If you understood this one maneuvre (which I have to admit, I didn't see by myself for a while neither) you know, why the whole study is a forced win of Black's.
...

??
forced win for White !

Of course!

[Paloma]

....
Paloma, por favor no llame a nadie estupido, ( Please do NOT call anybody here on this Forum Stupid )

When you know it,
why do you then asserted Hobacle's solution is not right and Tarrasch would play better because it will NOT block its pieces?

Hobacle you should try to play a few games against Tarrasch Toy Engine rated 1450, it will NOT block its pieces Ha Ha Ha

Forgot it.

[Chessqueen]

....
Paloma, por favor no llame a nadie estupido, ( Please do NOT call anybody here on this Forum Stupid )

When you know it,
why do you then asserted Hobacle's solution is not right and Tarrasch would play better because it will NOT block its pieces?

Hobacle you should try to play a few games against Tarrasch Toy Engine rated 1450, it will NOT block its pieces Ha Ha Ha

Forgot it.

Paloma if I took Black how can white win, I played versus Iger just to see, the reason why any engine does NOT like like to repeat is because it count how many pieces it has versus White and it believe to be winning without taking into consideration that any move other than moving the Black Bishop back and forth from Ba5 to Bd8, would allow White to win, by moving it Knight from a8 and activating its Knights, and if the program decides to position it White King and move it from d7 to e8 forcing the Black Bishop to stay put in a5, then I have the choice of moving my Black King from g8 to h8 depending where the White King move to and switch to move my Black Bishop again from Bd8 back to Ba5 all depending on the White King move, but never move none of my moving pawns

[pgn][Event "Computer chess game"]
[Site "MININT-UB2PIMJ"]
[Date "2021.04.08"]
[Round "?"]
[White "Administrator"]
[Black "Igel-x64_bmi2_avx2_3_0_0"]
[Result "*"]
[BlackElo "2000"]
[Time "00:04:46"]
[WhiteElo "3475"]
[TimeControl "7200"]
[SetUp "1"]
[FEN "N2b1bk1/4p1p1/4PpPp/B1K5/3Q4/8/3n1p1p/r4Nbr w - - 0 1"]
[Termination "normal"]
[PlyCount "17"]
[WhiteType "program"]
[BlackType "human"]

1. Qxa1 {(Qxa1 Nb3+ Kd5 Nxa1 Bxd8 h5 Bc7 Nc2 Ke4 f5+ Kf3 Nd4+ Kg2 Nxe6 Be5
h4 Nb6 Ng5 Kxh1 Nf3 Nc4 e6 Bf4 h3 Ncd2 Nxd2 Nxd2 Bc5 Be5 Kf8 Bxh2 Bd4 Bd6+
Ke8 Bg3 e5 Nf1 f4) -6.51/31 18} Nb3+ 2. Kc4 Nxa1 3. Kc3 Bxa5+ {(Bxa5+ Kb2
h5 Kxa1 Bd8 Kb2 h4 Kc2 Ba5 Kd3 Bb4 Nb6 Bc5 Nd5 Bd6 Ke3 Bb8 Kf3 Kh8 Kg2 Be5
Kxh1 Bd6 Nde3 Bf4 Nd5 Bc1 Kg2 Ba3 Kh1 Bc5 Nf4 Bd6 Ng2 Bg3 Nge3 Bc7 Nf5 h3
N5e3 Bd6 Nd1 f5 Nde3 f4 Nf5 Kg8 Nh4) +7.59/43 3} 4. Kb2 Bd8 5. Kxa1 {(Kxa1
Ba5 Kb2 h5 Kb3 Bd2 Kc4 Bf4 Nb6 Kh8 Kd3 Bd6 Ke4 Bc5 Nd5 Kg8 Kf3 Ba7 Kg2 Bb8
Kf3 Bd6 Kg2 Kh8 Kf3 Bb8 Kg2 Be5 Kf3 Ba1 Ke3 Bb2 Kf3 Bc1 Ke4 Ba3 Kf3 Kg8 Ke4
Bc1 Nb6 Bb2 Kd3 Kh8 Ke4 Ba1 Nd5 Kg8 Kd3) -7.32/44 4} Ba5 6. Kb2 {(Kb2 Bd2
Nc7 Bf4 Nd5 Bd6 Kc3 Be5+ Kc2 Kh8 Kb3 Bb8 Nb6 Bc7 Nd5 Ba5 Kb2 Bd8 Kc3 Kg8
Kc4 h5 Kb3 Kh8 Kc4 h4 Kb3 Ba5 Kc4 Kg8 Kb3 h3 Kc2 Be1 Kd3 Kh8 Nb6 Bb4 Ke4
Kg8 Nd5 Bc5 Kf3 Ba7 Ke4 Kh8 Kf5 Bd4 Ke4 Bb2 Kd3 Bc1 Kc4 Bh6 Kb3 Bd2 Kb2 Kg8
Kb3 Bc1 Kc2 Ba3 Kc3 Bd6 Kb3 Bb8 Ka2 Ba7 Kb3 Bd4 Ka4) -5.68/68 45} Bd8 7.
Ka1 {(Ka1) 0.00/127 0} Ba5 8. Kb2 {(Kb2) 0.00/127 0} Bd8 9. Ka1 {(Ka1)
0.00/127 0 3-fold repetition} *[/pgn]

[Chessqueen]

[d]N3Kbk1/4p1p1/4PpPp/b7/8/8/5p1p/5Nbr w - - 5 2

For example if the position reach a point where the White King has to move to d7 then I move my Black king to h8, but never any of my movable pawns

[peter]

[d]N3Kbk1/4p1p1/4PpPp/b7/8/8/5p1p/5Nbr w - - 5 2

For example if the position reach a point where the White King has to move to d7 then I move my Black king to h8, but never any of my movable pawns

Then you have to make a triangle maneuvre with the white King to reach e8 again with black King at g8 still or again.
E.g. 2.(to start with move number 2 of you fen) 2.Kd7 Kh8 3.Kc8 Kg8 4.Kb8 Kh8 (if 4...Bd8 instead, it's just transposing after 5.Kb7 Kg8 6.Kc8 Ba5 to main line with 7.Kd7, see there) 5.Kb7 Kg8 6.Kc8 Kh8 7.Kd7 Kg8 8.Ke8

Then you have the same position as on your dia but with Black to move = Zugzwang.
Then Black has to make a pawn- move or leave a5-d8 diagonal with the free Bishop or leave f8-Bishop with the King. First one starts triangles or pawn- chase again, second one sets a1-Knight free, third one loses f8- Bishop at once regards

[Chessqueen]

[d]N3Kbk1/4p1p1/4PpPp/b7/8/8/5p1p/5Nbr w - - 5 2

For example if the position reach a point where the White King has to move to d7 then I move my Black king to h8, but never any of my movable pawns

Then you have to make a triangle maneuvre with the white King to reach e8 again with black King at g8 still or again.
E.g. 2.(to start with move number 2 of you fen) 2.Kd7 Kh8 3.Kc8 Kg8 4.Kb8 Kh8 (if 4...Bd8 instead, it's just transposing after 5.Kb7 Kg8 6.Kc8 Ba5 to main line with 7.Kd7, see there) 5.Kb7 Kg8 6.Kc8 Kh8 7.Kd7 Kg8 8.Ke8

Then you have the same position as on your diag but with Black to move = Zugzwang.
Then Black has to make a pawn- move or leave a5-d8 diagonal with the free Bishop or leave f8-Bishop with the King. First one starts triangles or pawn- chase again, second one sets a1-Knight free, third one loses f8- Bishop at once regards

That was very clever Pete, since if White King move anything else then back and forth from d7 to e8 as you indicated then instead of moving my Black King for instance 2.Kd7 Kh8 3.Kc8 , in that case I would be forced to move my pawn to f6 or my h pawn, but of course as long as you continue making the triangle eventually I will run out of moves with my f and h pawn and I will be force move my Black Bishop and eventually you will activate your Knight via Nb6! and the rest is very easy just need to get my King on e8! and if the Bishop goes back to a5 all that you after your knight is placed on d7 all that I have to do is temporarily relocate my Knight from d7 and take my King to e8 via d7, and move my Knight back to d7 and after I win the Black Bishop on f8 the game is pretty much over and place it on d7 and your King on e8 via the same triangle move that you indicated and win my Black Bishop on f8. VERY CLEVER Pete

[peter]

---, but of course as long as you continue making the triangle eventually I will run out of moves with my f and h pawn and I will be force move my Black Bishop and eventually you will activate your Knight...

Triangulation only with the King till Black runs out of pawn- moves, is the longer way then to capture one of them or both with the King after one of the pawn gets vulnerable, yet the result is the same, after pawn moves aren't possible anymore, same mechanism as before goes on working to force a5- Bishop to leave the a5-d8-diagonal.

BTW the position of your dia is the same one reached after first 13 moves of hobacle's solution- line, yet with Black to move too. So to get there, White's King just has to take the right way with uneven number of moves to e8, so that it's Black's turn in the end of these first 13. Therefore 10.Kd5 instead of direct Kc6 coming from c5, that's the same triangle as in our example, you see?