Triangulation | Chess Endgames

Triangulation is an endgame technique using which you can force your opponent to have to move when the position is unfavorable for him. A fancy way to lose a tempo!

For an introduction to King and Pawn endgames, watch the video on opposition:

In king and pawn endgames, it’s all about precision and technique. Apart form the rule of the square, critical squares and opposition, there is one more technique which can help you win (or draw) games: triangulation. Triangulation is simply put moving your king in a triangle shape along three squares in order to make your opponent move.

You waste time (or tempi) by maneuvering your king to reach the same position you had before but so that it will be your opponent’s move.

This is a widely used technique, and you can easily draw or lose if you don’t know it. You sue it to put your opponent in zugzwang, and thus make him make his position worse. Using triangulation you can gain the opposition, move your king up the board, or win a pawn. It is a technique applicable to many scenarios.

Before we move on to endgames with multiple pawns, it is essential that you are familiar with it since it’s going to be the basis of numerous positions.

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105 Comments

  1. Very nice channel. I like the explanations, he has much consideration of real actual play, rather than only read theory from a book. I wonder what's the diffence between him, and a IM. Why is his rating 2100+ and a IM (e.g. Eric Rosen) is 2300+ ? They're about the same age, and he (Hanging Pawns) has probably covered all the chess issues. Very good channel! Objective, not time-wasting, nice person..

  2. I found this out by myself. Didn't know it had a name.

  3. This makes perfect sense and you explained it so well to someone like me, I will say it back to you so i can tell you what i learned from you. Triangulation works because by moving the king 3 moves and back to the originial square it changes the turns of each person, Thus exchanging the opposition of each person. So When I move to e1 he moves e2 he moves and back to b1, and he moves. now it will be his turn with my king sitting on the squares i want to controll where before it was his turn and i had to move away from the squares i wanted to controll. Also theory you could move (6 times +1 to return to the same position) EG a diamond+ a extra move (to recieve the same position)

  4. One question, is the "triangle" (when it exists) have to be unique in almost all cases? I mean is it possible to have more than one possible triangle for the manoeuvre ?

  5. Triangulation is a new idea for me. Thank you a lot.

  6. If you get your King to the 3rd or 6th rank ahead of the pawn it's winning. If the pawn is their ahead of the King it's a draw because of opposition. Triangulation is all about gaining or keeping opposition.

  7. thanks for the helpful informations. what elo rating are you?

  8. In the second example, black isnt forced to reply with Kd5 after white plays Kf4.
    In fact, the correct response is 1. Kf4 Kf6 2. Ke3 Ke7, maintaining the opposition and holding the draw.

  9. i lost my internet connexion the same time as him

  10. I don't understand the first position is not winning even if we manage to get the opposition the black can move back on C8 and just prevent us from entering in both side. You always make the black king move diagonally for no reason. Can someone explain.

  11. I'm sorry. I don't understand why it's not a draw if white takes the pawn after d2+. Why is that losing for white? Why must white finish the triangle? Please explain. Thanks. Love your channel, BTW–I have learned so much watching your series on the London.

  12. wait.. does that mean that the opposition is basically worthless because you can always triangulate?

  13. I really struggled with understanding this before watching your video, thanks for the great content!

  14. WOAAAAHHHHH!!!! that`s so fascinating i am glad i found this, i used to believe its a draw earlier

  15. I don´t understand, why can´t black king goes Kb7 to Kb8, before the white goes Kc5 to Kb6 or Kd6 to make the draw again. time 4:25

  16. Amazing video Mr. very helpful. Now i knew the reason why iam weak at endgames. 👍🏽

  17. In the 7:41 example, black can triangulate as well. He's not in any way forced to play Kd5.

  18. The computer keeps finding a way to block me or draw me, sometimes it's stupid does the moves you made in the video so I can win.

  19. At 2:33 black king could move to c8 to draw the game, I assume that pawns on "a" file don't exist

  20. Hi Sir. Plz I have a question. At 5:50 if black king plays to d7 and we play pawn to d5. Then black captures. Then it’s a draw. U said it’s a win for white. How’s that ??

  21. At 6:35 why should black plays king d5. Y not king f6 gaining opposition and have a draw ?

  22. Hi, i have a question, can the opposing color use triangulation also to counter white. What i mean is can both use triangulation at the same time to counter act each other, thus achieving no advantage on either side

  23. Does it matter which triangle you choose??

  24. What about King d6 black king will go to king d8 and c7+ if Kc8 we go king c6 no matter which side he goes we go on either b7 or d7 and get the queen

  25. you're excellent for explaining. don't feel bad for internet connection. its just normal for everyone.

  26. now I don't understand already the first example…
    I don't see what triangulation is achieving… no matter whose turn it is to play, black is always able to win the opposition. At 4:27, why can't the king just go to c8 to keep opposition?? this is supposed basic theory where it's a draw when white king is behind its pawn and black king right ahead…

  27. After d2, why is Kd1 better than Ke2, if it is, please? Thank you. I do not understand.

  28. This is awesome. We used your positions in our clubs endgame sparring tournaments and they loved it <3

  29. Bravo! The principle underpining triangulation is that of Corresponding/Linked/Sister Squares and Key squares.
    It's a good idea to learn triangulation first because it's more easier to understand, but you would need to understand the later as well to solve more complex K&P endgames.

  30. in the 2nd position , black king can also triangulate

  31. I was having trouble with this concept and you made it look so easy. 👍

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