On the board: black king vs. white king with knight and rook. Could checkmate be done without the white...

How can I take a waterfall's effect on a jump into consideration mechanically?

Renting a 2CV in France

How can I prevent an oracle who can see into the past from knowing everything that has happened?

How do dictionaries source attestation

Modern Algebraic Geometry and Analytic Number Theory

Plausible reason for gold-digging ant

Taking an academic pseudonym?

Is it possible to detect 100% of SQLi with a simple regex?

What is a good way to explain how a character can produce flames from their body?

What does an unprocessed RAW file look like?

Insecure private-key encryption

How do I add a strong "onion flavor" to the biryani (in restaurant style)?

XOR-free sets: Maximum density?

Crack the bank account's password!

Why might frozen potatoes require a hechsher?

How to not let the Identify spell spoil everything?

Was there a pre-determined arrangement for the division of Germany in case it surrendered before any Soviet forces entered its territory?

Is the symmetric product of an abelian variety a CY variety?

Is Screenshot Time-tracking Common?

my cron command doesn’t work

Fraction within another fraction

Why did Luke use his left hand to shoot?

What's the reason that we have a different number of days each month?

Do we still track damage on indestructible creatures?



On the board: black king vs. white king with knight and rook. Could checkmate be done without the white king’s help?


Is it possible to force checkmate with King, Knight, and Bishop vs. King?Is it possible to checkmate with knight and king against king?Am I allowed to do a checkmate and win the game in this situation?Second Troitzky line, where knight and pawn could be located?Strategy of Bishop and Knight CheckmateWhat are minimum number of moves needed to checkmate a king using king and rook?Where can I find a list of all theoretically possible piece combinations where checkmate is possible? (e.g. bishop and knight and pawn vs knight)Could two kings force checkmate against a lone king?Checkmate with King and Knight vs King and KnightCould the black king move to C5?













1















Just something I randomly came up with. Sorry if it is a duplicate.










share|improve this question





























    1















    Just something I randomly came up with. Sorry if it is a duplicate.










    share|improve this question



























      1












      1








      1


      0






      Just something I randomly came up with. Sorry if it is a duplicate.










      share|improve this question
















      Just something I randomly came up with. Sorry if it is a duplicate.







      theory checkmate






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 3 hours ago









      Brian Towers

      15.5k32967




      15.5k32967










      asked 4 hours ago









      Rewan DemontayRewan Demontay

      309212




      309212






















          1 Answer
          1






          active

          oldest

          votes


















          2














          I don't think it is possible to forcibly mate the king with rook and knight only.





          Proof: The only mating position is with the black king in a corner, the rook giving check from an adjecent square and the knight protecting the rook and covering the escape square.



          For simplicity let's say Ka1, Rb1, Nc3. There are 7 other equivalent positions to this one.



          If you retro-analyze the position the last move must have been with the rook along the b file from somewhere between b3 and b8. For the folowing analysis it does not matter from where it came.



          Then what was black's last move? It certainly was a king move moving from a2, b2 or b1 to the corner (a1). However, since black was not forced to move the king to the corner but could have moved to a3 or c1 (or to b3 if the rook was standing there), the mate cannot be forced.






          share|improve this answer





















          • 2





            For completeness, I guess you have to analyze the possibility that the rook came from b3 preventing Ka3. Of course, then Kxb3 would have been possible.

            – D M
            4 hours ago











          Your Answer








          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "435"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: false,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: null,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fchess.stackexchange.com%2fquestions%2f23805%2fon-the-board-black-king-vs-white-king-with-knight-and-rook-could-checkmate-be%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          2














          I don't think it is possible to forcibly mate the king with rook and knight only.





          Proof: The only mating position is with the black king in a corner, the rook giving check from an adjecent square and the knight protecting the rook and covering the escape square.



          For simplicity let's say Ka1, Rb1, Nc3. There are 7 other equivalent positions to this one.



          If you retro-analyze the position the last move must have been with the rook along the b file from somewhere between b3 and b8. For the folowing analysis it does not matter from where it came.



          Then what was black's last move? It certainly was a king move moving from a2, b2 or b1 to the corner (a1). However, since black was not forced to move the king to the corner but could have moved to a3 or c1 (or to b3 if the rook was standing there), the mate cannot be forced.






          share|improve this answer





















          • 2





            For completeness, I guess you have to analyze the possibility that the rook came from b3 preventing Ka3. Of course, then Kxb3 would have been possible.

            – D M
            4 hours ago
















          2














          I don't think it is possible to forcibly mate the king with rook and knight only.





          Proof: The only mating position is with the black king in a corner, the rook giving check from an adjecent square and the knight protecting the rook and covering the escape square.



          For simplicity let's say Ka1, Rb1, Nc3. There are 7 other equivalent positions to this one.



          If you retro-analyze the position the last move must have been with the rook along the b file from somewhere between b3 and b8. For the folowing analysis it does not matter from where it came.



          Then what was black's last move? It certainly was a king move moving from a2, b2 or b1 to the corner (a1). However, since black was not forced to move the king to the corner but could have moved to a3 or c1 (or to b3 if the rook was standing there), the mate cannot be forced.






          share|improve this answer





















          • 2





            For completeness, I guess you have to analyze the possibility that the rook came from b3 preventing Ka3. Of course, then Kxb3 would have been possible.

            – D M
            4 hours ago














          2












          2








          2







          I don't think it is possible to forcibly mate the king with rook and knight only.





          Proof: The only mating position is with the black king in a corner, the rook giving check from an adjecent square and the knight protecting the rook and covering the escape square.



          For simplicity let's say Ka1, Rb1, Nc3. There are 7 other equivalent positions to this one.



          If you retro-analyze the position the last move must have been with the rook along the b file from somewhere between b3 and b8. For the folowing analysis it does not matter from where it came.



          Then what was black's last move? It certainly was a king move moving from a2, b2 or b1 to the corner (a1). However, since black was not forced to move the king to the corner but could have moved to a3 or c1 (or to b3 if the rook was standing there), the mate cannot be forced.






          share|improve this answer















          I don't think it is possible to forcibly mate the king with rook and knight only.





          Proof: The only mating position is with the black king in a corner, the rook giving check from an adjecent square and the knight protecting the rook and covering the escape square.



          For simplicity let's say Ka1, Rb1, Nc3. There are 7 other equivalent positions to this one.



          If you retro-analyze the position the last move must have been with the rook along the b file from somewhere between b3 and b8. For the folowing analysis it does not matter from where it came.



          Then what was black's last move? It certainly was a king move moving from a2, b2 or b1 to the corner (a1). However, since black was not forced to move the king to the corner but could have moved to a3 or c1 (or to b3 if the rook was standing there), the mate cannot be forced.







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 3 hours ago

























          answered 4 hours ago









          user1583209user1583209

          12.2k21554




          12.2k21554








          • 2





            For completeness, I guess you have to analyze the possibility that the rook came from b3 preventing Ka3. Of course, then Kxb3 would have been possible.

            – D M
            4 hours ago














          • 2





            For completeness, I guess you have to analyze the possibility that the rook came from b3 preventing Ka3. Of course, then Kxb3 would have been possible.

            – D M
            4 hours ago








          2




          2





          For completeness, I guess you have to analyze the possibility that the rook came from b3 preventing Ka3. Of course, then Kxb3 would have been possible.

          – D M
          4 hours ago





          For completeness, I guess you have to analyze the possibility that the rook came from b3 preventing Ka3. Of course, then Kxb3 would have been possible.

          – D M
          4 hours ago


















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Chess Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fchess.stackexchange.com%2fquestions%2f23805%2fon-the-board-black-king-vs-white-king-with-knight-and-rook-could-checkmate-be%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Szabolcs (Ungheria) Altri progetti | Menu di navigazione48°10′14.56″N 21°29′33.14″E /...

          Discografia di Klaus Schulze Indice Album in studio | Album dal vivo | Singoli | Antologie | Colonne...

          How to make inet_server_addr() return localhost in spite of ::1/128RETURN NEXT in Postgres FunctionConnect to...