Endgame themes

I want to share this game because it shows an exception for the rule of thumb "Do not put pawns on the color of your bishop in the endgame".
My opponent sacrificed a pawn, and got a slight initiative, where I have to be a bit careful and defend during a few moves.
After that I did put my pawns one by one on the color of my bishop ! Why ? Space advantage, and a possible pawn breakthrough because of far advanced pawns.

en.lichess.org/Pq7TF1Cc/black#47

Although this is a game with quite a few mistakes by both players, it does show the "King activity" theme very clearly in the endgame.

en.lichess.org/HcIhxVmS/white#54

While doing tactic puzzles, I came across a game between Nimzovich and Rubinstein, where Nimzovich blundered in the endgame, after which Rubinstein showed his endgame skills, and drew.
It was not an easy endgame though. In the variations in this study below I have annotated the beautiful winning knight moves sequence (given in the puzzle comments), which is quite instructive to see.

Themes : passed pawns, square control, king activity.

en.lichess.org/study/7swxZf7d

And for the record, Stockfish gives a different winning line :
en.lichess.org/V0uVHUSd#101

Here is nice same-colored bishops battle with 1 pawn up:

en.lichess.org/kx63agoI/black#70

In time preasure I did a mistake to let his king go to my b6 pawn (did not immediately see that this is unstopable), but then the game continued...

Interesting to see this endgame.
What was your plan after 49...a4 ?
en.lichess.org/kx63agoI/black#98

I've put a winning line a study. I think the way to win is to make the black king more active, and focus on the b2 weakness in combination with the pawn majority on the queen side.
This almost happened later in your game.
I think however that pushing the a pawn to a4 was not your best chance.
See the study :
en.lichess.org/study/j3N1VXDU

Well, it was tense 15+10 game with a little time in the end, so it was not flawless and the endgame was based rather on general principles, then precise calculations. The plan was to go for b2 pawn, when everything was well-prepared. You might be right and a4 did not improve my plan so much, but it was advancing the pawn (preparing further breaks if initial plan would not work), moving around to make some time and waiting for opponent's mistake, putting the pawn to the safe square. Not sure if it was decisive mistake... The problem to win that game was of course more active king of my opponent.

hey endgame nerds check out this king
en.lichess.org/j5BkNNNreQxM
en.lichess.org/cv8ZwPHuWq1C

rook pawn endgame
en.lichess.org/yON83D3n/black#102
very standart.

another rook pawn ending, very instructive
spanish exchange keeping the grind alive
en.lichess.org/zS04I1Lw/white#96

this is a remarkable game because although its bad played it shows that there is still play with few pieces, it should have been a draw no, thats what I mean
but we both played for a win, no draw agreement trying to make something out of the position, imagine you are in a tournament and a draw is a bad result
for example, u keep playing to try to extract something out of thin air, thats what Carlsen teaches us We need to try to emulate him with an inferior understanding
just play until the end.