When you triangulate, you take three moves to do what you could have done in two. It's usually called losing a move. Sometimes it takes a larger odd number of moves.
Wikipedia: "Triangulation is a tactic used in chess to put one's opponent in zugzwang (a position when it is a disadvantage to move). Triangulation is also called losing a tempo or losing a move."
But you can call it gaining a move if you want to.
I can post the study here if you like.
White to play and win. (White wins easily with Black to play.)
#17
Here is a proof
1 a4 e6 2 d3 Ba3 3 bxa3 b5 4 Bh6 gxh6 5 Nd2 a5 6 Rb1 Bb7 7 Rb4 axb4 8 a5 Ra6 9 a4 Rc6 10 a6 Rc4 11 dxc4 b3 12 h4 b4 13 Rh3 b2 14 Rd3 b3 15 Rd6 cxd6 16 f3 Be4 17 fxe4 Ne7 18 e3 Rg8 19 Be2 Rg5 20 hxg5 h5 21 Bg4 h4 22 Bf5 exf5 23 g6 h3 24 g7 h2 25 g8=N h1=N 26 Nh6 Ng3 27 a7 b1=N 28 a8=N Na3 29 Nb6 b2 30 a5 b1=N 31 a6 f4 32 Ng4 Ngf5 33 a7 h5 34 a8=N h4 35 e5 h3 36 e4 h2 37 c5 h1=N 38 Nf2 f3 39 Ng4 Ng7 40 c4 Nb5 41 Qc2 N1a3 42 Kd1 d5 43 Kc1 f2 44 Kb2 f1=N 45 Nf2 Ne6 46 g4 f5 47 g5 f4 48 g6 f3 49 g7 d4 50 Nb3 d5 51 g8=N Kf7 52 Nh6+ Kg7 53 Nhg4 Qf8 54 c6 Qf7 55 c7 d3 56 c5 d2 57 c6 d4 58 c8=N d1=N+ 59 Ka2 Nde3 60 c7 d3 61 Nd6 d2 62 c8=N d1=N 63 Nd3 f2 64 Ne2 Nfg3 65 Nc3 f1=N 66 Nba4 Ne3 f5 67 Nab2 Ng5 68 e6 Ng6 69 e7 Kh7 70 e8=N Ndf2 71 e5 Nfe4 72 e6 N1e3 73 e7 Nf6 74 Nec7 Nf2 75 e8=N Nc6 76 Nab6 Nac4 77 Nde4 Nbd6 78 Ned2 Nh6 79 N7b5 Ngf5 80 Na3 N4e5 81 Na7 Nd8 82 Nc7 Kg7 83 Na7 b5 Ngh7 84 Nbd1 Ne6 85 Nbc4 Nh8 86 Kb2 Neg6 87 Ncb1 Nfg8 88 Nge5 Neg4 89 N5c3 Nfe4 90 Ndc1 Ng4 f6 91 Ned3 Nfe7 92 N7b5 Nef8 93 N3a2 Neg5 94 N5c3 Nge6 95 Nca5 Nde8 96 Na1 Nhg4 97 N5b3 N4h6
An 83-move proof game for #17 is given at #41.
if someone wants to contribute,
really just do the posts past the bump
The bump is #205. But no proof game was posted for #204, so it is fair game.
Here's my first try at #358
My second try was just one move shorter.
This 31-move game will be my last try. I'll leave it to someone else to try improving to 30.5 or 30 moves. Maybe the composer of the position, Ilampozhil25 , will give his solution.
or gain a move, depending on how you think about it