Corresponding squares. Is it hard?

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Tantale

Here an example :

All the white moves are unique to win.

azziralc

Last one is also winning.

Tantale

Yes the last one is not unique.

The process involves to numerote the squares:

What is funny is that an OTB player is now allowed to take notes during a game. So he would be disqualified if he made such a drawing.

CheckersBeatsChess

Can someone link info about this please.  I dont know what this tecnique is but it seems worth learning

Tantale

http://en.wikipedia.org/wiki/Corresponding_squares

CheckersBeatsChess

so how do you generate the mutual zugzwang numbers?  I get once you have the diagram you have to match the numbers but how do you get the numbers to begin with?  also what if the white king (on the path 3-5-3) goes back to the initial 3 square he was on?

Tantale

The first thing to do is to determine the key squares.

AlCzervik
-kenpo- wrote:

it can be very simple or incredibly complex depending upon the position. 

Hmmm, I can't decide.

Tantale

The theory is  described in the 1932 treatise L'opposition et cases conjuguées sont réconciliées (Opposition and Sister Squares are Reconciled), by Vitaly Halberstadt and Marcel Duchamp.

That's why I put a picture of these two men above.

Tantale

Does anybody know other examples of pawn endings that can be solved by corresponding squares?

Tantale

An other example, this study (1901) of the world champion Emmanuel Lasker and Gustavus Charles Reichhelm:



JamesCoons

I suggest the book "The final countdown"  

http://www.amazon.com/Final-Countdown-Herman-Claudius-Riemsdijk/dp/185744129X

The entire book is all about key squares and corresponding squares.

Tantale

A video wich explains the corresponding squares base on a study of Grigoriev:

http://www.youtube.com/watch?v=cwjNat39lws

Escapest_Pawn

Thank you Tantale for this forum and useful links.

Tablebases are good training for this sort of thing.  Unfortunately limited to 6 pieces (including kings) ie 4 pawns.

http://www.k4it.de/index.php?topic=egtb&lang=en

RichColorado

Corresponding Squares?

It seem to me that it is called end game Opposition. It was covered in Silman's Endgame book without using, "the Corresponding phrase."

That phrase is not familiar to me and that is what makes it more confusing. I am familiar with Opposition, Triangulation and such.

Anyway here is a video suggested so that it can be understood but the person who made the video is also confused. After watching the video you are still confused I suggest not using "Corresponding Squares" and to stick to opposition and Silman's or any other end game books.


AlCzervik

I wanted to watch the video, but, the purple ant scared me.

woton
DENVERHIGH wrote:

Corresponding Squares?

It seem to me that it is called end game Opposition. It was covered in Silman's Endgame book without using, "the Corresponding phrase."

 

 

 

Corresponding squares is a separate topic.  Pandolfini's "Endgame Course" devotes two pages to it, stating only that it requires calculation and analysis.

Tantale

Corresponding squares could help here to find the move of white to win?

Tantale

Yasser Seraiwan - Garry Kasparov 1983 - 0-1

Corresponding squares may help to win?

Tantale

And what to you think of this position Black to move.

It comes from a game Ree - Ftanick 1-0 1978.

Could black win using the theory of corresponding squares?