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Is it possible for a triple check in regular chess?

Re #60 @nayf

Is that variation possible in a game:

  1. Without a draw happening, first?

and/or

  1. Without a checkmate happening, first?
Re #60 @nayf Is that variation possible in a game: 1. Without a draw happening, first? and/or 2. Without a checkmate happening, first?

@Letgoofmychessego l

Lol, you're scepticism is justified; the variation seems impossible to have come about legally. I added the melodrama just for effect.

@Letgoofmychessego l Lol, you're scepticism is justified; the variation seems impossible to have come about legally. I added the melodrama just for effect.

Re #62 @nayf

In an early post you said only double-check is possible. That sounds correct to me.

nayf
edited 2 days ago
#7
It's a great question, and difficult to explain why not. One can see how a N+ can discover a R+ or a B+, yet it seems it can't discover both at the same time. It's impossible to place a rook and bishop attacking the same square with another single square in the line of fire of both (where one could have placed the N to move away and discover two checks). The reason is that a diagonal and a vertical/horizontal can intersect only once. If that intersecting square is the king's square, no other single square can block them both. If a single square blocks them both, then there is no second square that they would both attack if the blocking piece were removed.

Re #62 @nayf In an early post you said only double-check is possible. That sounds correct to me. >>> nayf edited 2 days ago #7 It's a great question, and difficult to explain why not. One can see how a N+ can discover a R+ or a B+, yet it seems it can't discover both at the same time. It's impossible to place a rook and bishop attacking the same square with another single square in the line of fire of both (where one could have placed the N to move away and discover two checks). The reason is that a diagonal and a vertical/horizontal can intersect only once. If that intersecting square is the king's square, no other single square can block them both. If a single square blocks them both, then there is no second square that they would both attack if the blocking piece were removed.

@Letgoofmychessego l

Lol, you're right again. I forgot what we were discussing as I was half-way out of the house. That is correct, at most a double check can be arrived at legally. Also, in #45 I acknowledged that that position (16-tuple check) could NOT have been arrived at legally, by facetiously referring to Black king's use of a parachute in its previous move. I was thinking of your previous comment that the 16-tuple check was a checkmate, and I meant one could devise numerous n-tuple check positions (where n>2) that neither are nor necessarily lead to mate or draw. But you're absolutely right that they could not have been arrived at legally, which I myself have argued repeatedly. Cheers.

@Letgoofmychessego l Lol, you're right again. I forgot what we were discussing as I was half-way out of the house. That is correct, at most a double check can be arrived at legally. Also, in #45 I acknowledged that that position (16-tuple check) could NOT have been arrived at legally, by facetiously referring to Black king's use of a parachute in its previous move. I was thinking of your previous comment that the 16-tuple check was a checkmate, and I meant one could devise numerous n-tuple check positions (where n>2) that neither are nor necessarily lead to mate or draw. But you're absolutely right that they could not have been arrived at legally, which I myself have argued repeatedly. Cheers.

Short story : The magical triple check

Once upon a time,
the following story happened in an ancient chess kingdom far far away from Liconia.

A light-squared bishop lived on the square b5. The bishop cried all day long, but nobody knew the reason.
Everybody has left the kingdom, because it was impossible to sleep at night due to this never ending lamenting.
Only the 2 old kings and a rook who lived in the vicinity of the bishop hadn't left the kingsdom.

The rook decided that he wanted to visit the bishop to find out whether he could maybe offer his help.

scene 1 : (rook meets bishop)
https://i.imgur.com/0cEAGLh.jpg

Mr. Rook : " Hello, let me introduce myself. I am Mr. Rook. Why are you crying all day long ? How can I help you Mr. Bishop ? "

Mr. Bishop: " Mr. Bishop ? Damn, you fool ! Can't you see ? I am not a man. I am a woman. It is Mrs Bishop and not Mr. Bishop "

Mr. Rook : " Sorry, I apologize to you, Mrs. Bishop. Is this the reason why you cry all day long ? Because everybody thinks that you are a man. "

Mrs. Bishop : " This is only one part of our problem. The other part is, that we are actually 2 woman, who have to live inside of the same body. We had some trouble in the past with an evil witch and we were bewitched by her. But nobody can help us. "

Mr. Rook : " That's not true. I can help you. I am a magical rook. Let me try something. Ok, this spell should solve your problem. "

scene 2 : (Mr. "magical " rook tries out one of his old magic spells)
https://i.imgur.com/LtN9qvt.jpg

scene 3 : (Magical spell did work. Didn't it ?)
https://i.imgur.com/LbmAojt.jpg

Mrs. Bishop 1 and Mrs. Bishop 2 : " Thank you for very much for help. "

Mr. Rook : " It was a pleasure to help you. Now I have to leave. By the way, I live on the square e6, just for the case that you need my help again. "

And then Mr. Rook went home.

scene 4 : (Triple check on the black king)
https://i.imgur.com/RxHZzI4.jpg

Don't dare tell me that this is not a triple check !

Don't dare tell me that the checks from Mrs. Bishop 1 and Mrs. Bishop 2 are only two halve checks which sum up to only one complete check !

Don't mess around with 2 strong independent women, who know a magical rook !

And so they lived happily ever after ......

🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍

Short story : The magical triple check Once upon a time, the following story happened in an ancient chess kingdom far far away from Liconia. A light-squared bishop lived on the square b5. The bishop cried all day long, but nobody knew the reason. Everybody has left the kingdom, because it was impossible to sleep at night due to this never ending lamenting. Only the 2 old kings and a rook who lived in the vicinity of the bishop hadn't left the kingsdom. The rook decided that he wanted to visit the bishop to find out whether he could maybe offer his help. scene 1 : (rook meets bishop) https://i.imgur.com/0cEAGLh.jpg Mr. Rook : " Hello, let me introduce myself. I am Mr. Rook. Why are you crying all day long ? How can I help you Mr. Bishop ? " Mr. Bishop: " Mr. Bishop ? Damn, you fool ! Can't you see ? I am not a man. I am a woman. It is Mrs Bishop and not Mr. Bishop " Mr. Rook : " Sorry, I apologize to you, Mrs. Bishop. Is this the reason why you cry all day long ? Because everybody thinks that you are a man. " Mrs. Bishop : " This is only one part of our problem. The other part is, that we are actually 2 woman, who have to live inside of the same body. We had some trouble in the past with an evil witch and we were bewitched by her. But nobody can help us. " Mr. Rook : " That's not true. I can help you. I am a magical rook. Let me try something. Ok, this spell should solve your problem. " scene 2 : (Mr. "magical " rook tries out one of his old magic spells) https://i.imgur.com/LtN9qvt.jpg scene 3 : (Magical spell did work. Didn't it ?) https://i.imgur.com/LbmAojt.jpg Mrs. Bishop 1 and Mrs. Bishop 2 : " Thank you for very much for help. " Mr. Rook : " It was a pleasure to help you. Now I have to leave. By the way, I live on the square e6, just for the case that you need my help again. " And then Mr. Rook went home. scene 4 : (Triple check on the black king) https://i.imgur.com/RxHZzI4.jpg Don't dare tell me that this is not a triple check ! Don't dare tell me that the checks from Mrs. Bishop 1 and Mrs. Bishop 2 are only two halve checks which sum up to only one complete check ! Don't mess around with 2 strong independent women, who know a magical rook ! And so they lived happily ever after ...... 🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍🤣😍

@Bishop1964

How about if at least three of us pay you to never write a story here again? You'll receive a triple cheque.

@Bishop1964 How about if at least three of us pay you to never write a story here again? You'll receive a triple cheque.

It's triple check when David Navara does it.

It's triple check when David Navara does it.

Thought experiment:

I showed in #7, #17, and #27 why a discovered double check, and hence a triple check, is impossible. The key insight is that all blockable pieces (every piece except N) attack in a straight line (diagonal or vertical/horizontal), and straight lines can intersect only once. Therefore two or more pieces can never both be blocked by a single square and attack another single square when the block is removed, as that would imply straight lines intersecting twice, an impossibility on a flat plane.

But notice that the N has not one, but two, unusual features: it does not attack in a straight line, and it cannot be blocked (it can hop over its own pieces, or to use someone's words above, it has X-ray powers: it can deliver a check 'through' other pieces.)

Now what if the inventors of chess endowed the N with only one of these features, its L-shaped movement? So we now have a BLOCKABLE piece that attacks NOT in a straight line. Since it does NOT attack in a straight line, AND can be blocked, it might be theoretically possible that the attack lines of two Ns (their Ls) can intersect twice. One could be the blocking square, the other the opposing king's square. If you could vacate the blocking square with a piece that delivers check, while discovering TWO N checks, you would have a triple check. Better still, it might be possible now to discover a triple check, two by Ns and one by a different piece. Just to be clear: in this thought experiment, a N is blocked from a square if it does not have a clear L to that square (notice it can have two different Ls to the same square. Both need to be blocked for it to be blocked).

Easily enough done:

https://lichess.org/editor/2br2r1/ppp2ppp/8/3kB1R1/3P1N2/3PN3/P3PPPP/3K4_w_-_-_0_1

Here the bishop is blocking both Ns from checking the king (in our new rules for an N) as well as blocking the R. Move the B and discover a triple check!

Notice that legally arrived at quadruple and quintuple checks are now possible, because of the simple change of making a N blockable.

Thought experiment: I showed in #7, #17, and #27 why a discovered double check, and hence a triple check, is impossible. The key insight is that all blockable pieces (every piece except N) attack in a straight line (diagonal or vertical/horizontal), and straight lines can intersect only once. Therefore two or more pieces can never both be blocked by a single square and attack another single square when the block is removed, as that would imply straight lines intersecting twice, an impossibility on a flat plane. But notice that the N has not one, but two, unusual features: it does not attack in a straight line, and it cannot be blocked (it can hop over its own pieces, or to use someone's words above, it has X-ray powers: it can deliver a check 'through' other pieces.) Now what if the inventors of chess endowed the N with only one of these features, its L-shaped movement? So we now have a BLOCKABLE piece that attacks NOT in a straight line. Since it does NOT attack in a straight line, AND can be blocked, it might be theoretically possible that the attack lines of two Ns (their Ls) can intersect twice. One could be the blocking square, the other the opposing king's square. If you could vacate the blocking square with a piece that delivers check, while discovering TWO N checks, you would have a triple check. Better still, it might be possible now to discover a triple check, two by Ns and one by a different piece. Just to be clear: in this thought experiment, a N is blocked from a square if it does not have a clear L to that square (notice it can have two different Ls to the same square. Both need to be blocked for it to be blocked). Easily enough done: https://lichess.org/editor/2br2r1/ppp2ppp/8/3kB1R1/3P1N2/3PN3/P3PPPP/3K4_w_-_-_0_1 Here the bishop is blocking both Ns from checking the king (in our new rules for an N) as well as blocking the R. Move the B and discover a triple check! Notice that legally arrived at quadruple and quintuple checks are now possible, because of the simple change of making a N blockable.

@nayf

I have now double checked the whole forum twice, but I was not able to find a third piece who was willing to deliver the last cheque to me.
I guess that you have simultaneously proven that 2 things do not exist in the real world.

  1. A triple check on a chess board
  2. A triple cheque for a poor writer like me

This is really a very sad ending for this topic.

But maybe I can turn this bad experience into something positive. Let me tell you another story.

Once upon a time,
< Story deleted, because it has the potential to be the next big thing. Maybe even better than all Harry Potter books>
And so they lived happily ever after ....

P.S. Your posting #69 is really clever. I like it.

@nayf I have now double checked the whole forum twice, but I was not able to find a third piece who was willing to deliver the last cheque to me. I guess that you have simultaneously proven that 2 things do not exist in the real world. 1. A triple check on a chess board 2. A triple cheque for a poor writer like me This is really a very sad ending for this topic. But maybe I can turn this bad experience into something positive. Let me tell you another story. Once upon a time, < Story deleted, because it has the potential to be the next big thing. Maybe even better than all Harry Potter books> And so they lived happily ever after .... P.S. Your posting #69 is really clever. I like it.

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