Can 3 knights mate a king

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Avatar of Bilbo21

Is this situation ever likely to occur (excluding when you have 2 knights & a pawn and want to show off)?

Avatar of ArgoNavis
Bilbo21 escribió:

Is this situation ever likely to occur (excluding when you have 2 knights & a pawn and want to show off)?

N+N+K vs N+K

We have two options:

-Black knight betrays his king and joins the white army.

-Black knight undergoes plastic surgery ala Mickel Jackson

Result:

N+N+N+K vs K

Avatar of xman720

No, I agree with what a previous poster said. A situation where promoting to a queen makes a N + N + Q vs. Q draw (or very, very difficult win) but promoting to a knight makes an easy N + N + N vs.King ending.

Avatar of n9531l

Here's an example I think is interesting because the two knights win against the king and pawn even though the pawn is well beyond the Troitsky line. If you want to see the winning moves, give the position to the online 6-man tablebases.

White to play and win.



Avatar of xman720

I don't think that has a "winning move". I guess there's a fastest mate, but almost every move wins. Here's an example of how to win:



Avatar of n9531l
xman720 wrote:

I don't think that has a "winning move". I guess there's a fastest mate, but almost every move wins.

Do us a favor and post a forced win with any first move besides Kc3.

Avatar of xman720

Holy crap, I just happened to find the fastest mate possible?!? (Of course I assumed Kc1 was a better try than Ka2, which the tablebase reveals is incorrect). Yep, you're right, there's only one winning move but also I'm a genius. The solution was so easy to find I assumed there were more.

Avatar of n9531l
xman720 wrote:

Yep, you're right, there's only one winning move but also I'm a genius.

Your comment just made me wonder how carefully you thought about the position before posting your claim that "almost every move wins".

Avatar of xman720

My logic was "Two knights + king and pawn is a win." It would be a like if you showed a position with a king and queen vs. queen and asked me what the winning move is. I would go "What? Any move that doesn't give away the queen wins, it's simply a matter of how long."

I didn't realize that were two knights vs. King and pawn positions that were drawn.

Avatar of n9531l
xman720 wrote:

My logic was "Two knights + king and pawn is a win."

Perhaps you once learned the rule, "Two knights vs. king and pawn is a win, provided the pawn has not passed the Troitsky line and is securely blocked by a knight", and later forgot about the provision.

Avatar of Gil-Gandel
alex-rodriguez wrote:
Can 3 knights mate a king

Very interesting question. As someone has already demonstated the answer is yes.

I'm trying to imagine a scenario in a real game where the ending is 3 knights against a king. The idea I have is one player has a pawn and 2 knights while the opponent has one queen. When the pawn gets to the last rank it would better to convert to a knight if that meant a knight fork could capture the queen. The result is 3 knights against a king which wins.

Not likely to happen but it's possible.

In Teach Yourself Chess, the author Gerald Abrahams mentioned that there had been a famous win, King and three Knights against King and one Knight. He didn't explain further or even mention who played it.

Presumably there was a K+N+N+P vs K+N ending where the stronger side had to promote or lose the pawn, and had to promote to Knight to avoid a fork. From then on there's no chance for the stronger side to win the Knight by a fork, but it seems that the defender must either have had to sac his Knight to delay mate or else the stronger side could win even with the single Knight still on the board.

Avatar of n9531l

For anyone who's interested, here's an example of the longest mate for king and three knights vs. king and knight.

White to play and mate in 90.



Avatar of wayne_thomas
Avatar of Real_Undertaker
wayne_thomas wrote:
 

the fact that white is forced to promoted into knight, not for humiliating or sth, thanks for sharing

Avatar of timbeau

yes: but why  bother?

Avatar of Bilbo21

don't blame bother, lol.  This is the most fun change they've made in v3

Avatar of fsinal

Thank you Wayne Thomas for educating me. (1) K+N+N+N vs K+N is a win. (2) It actually came up in a serious game.

Avatar of Gil-Gandel

And there we have it: KNNN can beat KN without the defender giving up his Knight.

Avatar of n9531l
fsinal wrote:

Thank you Wayne Thomas for educating me. (1) K+N+N+N vs K+N is a win. (2) It actually came up in a serious game.

To put it more precisely, K+N+N+N vs K+N is a win in general, although there are plenty of drawn positions.

Avatar of Polar_Bear

3 knights force a win even vs a bishop (K+N+N+N vs K+B is +-)

K+N+N+B vs K+R is also +-.