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












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










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










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










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







      theory checkmate






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      edited 5 hours ago









      Brian Towers

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      asked 7 hours ago









      Rewan DemontayRewan Demontay

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          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.






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            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
            6 hours ago











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          1 Answer
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          1 Answer
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          active

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          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
            6 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
            6 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














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          edited 5 hours ago

























          answered 6 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
            6 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
            6 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
          6 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
          6 hours ago


















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