What is the theoretical maximal material difference of a dead draw which is not a stalemate?
I have noticed the following example, which should be a dead draw:
I am wondering what is the theoretical material difference of a dead draw which is not a stalemate? (I am not asking about agreed draws.) Apparently we could not add more rooks to the diagram as all white pawns have not been promoted.
By the way, the game above is not drawn by the insufficient material rule, as white can theoretically win the game if black makes a blunder such as capturing the rook.
theory draw
add a comment |
I have noticed the following example, which should be a dead draw:
I am wondering what is the theoretical material difference of a dead draw which is not a stalemate? (I am not asking about agreed draws.) Apparently we could not add more rooks to the diagram as all white pawns have not been promoted.
By the way, the game above is not drawn by the insufficient material rule, as white can theoretically win the game if black makes a blunder such as capturing the rook.
theory draw
1
I believe if you add a white queen on a1 or b1 or b2 and a black knight on b5 it would still be draw (if you capture on a3 or c3 I am going to recapture with the knight).
– user1583209
6 hours ago
add a comment |
I have noticed the following example, which should be a dead draw:
I am wondering what is the theoretical material difference of a dead draw which is not a stalemate? (I am not asking about agreed draws.) Apparently we could not add more rooks to the diagram as all white pawns have not been promoted.
By the way, the game above is not drawn by the insufficient material rule, as white can theoretically win the game if black makes a blunder such as capturing the rook.
theory draw
I have noticed the following example, which should be a dead draw:
I am wondering what is the theoretical material difference of a dead draw which is not a stalemate? (I am not asking about agreed draws.) Apparently we could not add more rooks to the diagram as all white pawns have not been promoted.
By the way, the game above is not drawn by the insufficient material rule, as white can theoretically win the game if black makes a blunder such as capturing the rook.
theory draw
theory draw
edited 6 hours ago
Zuriel
asked 6 hours ago
ZurielZuriel
508210
508210
1
I believe if you add a white queen on a1 or b1 or b2 and a black knight on b5 it would still be draw (if you capture on a3 or c3 I am going to recapture with the knight).
– user1583209
6 hours ago
add a comment |
1
I believe if you add a white queen on a1 or b1 or b2 and a black knight on b5 it would still be draw (if you capture on a3 or c3 I am going to recapture with the knight).
– user1583209
6 hours ago
1
1
I believe if you add a white queen on a1 or b1 or b2 and a black knight on b5 it would still be draw (if you capture on a3 or c3 I am going to recapture with the knight).
– user1583209
6 hours ago
I believe if you add a white queen on a1 or b1 or b2 and a black knight on b5 it would still be draw (if you capture on a3 or c3 I am going to recapture with the knight).
– user1583209
6 hours ago
add a comment |
3 Answers
3
active
oldest
votes
With white to move, the following position is a draw:
I think it's reachable from the original position, although it would be difficult. I'll let you know if I can.
Heh, that idea works too, but I'm not sure if the OP wants to include perpetual check or not.
– Glorfindel
6 hours ago
Yeah, I'm not sure, either, but since he didn't specify, I felt obligated.
– Brandon_J
6 hours ago
2
I am the OP and I am not sure as well. Since I am not sure, theoretically no one knows for sure whether the OP wants to include perpetual check or not.
– Zuriel
6 hours ago
hahaha this could get awkward
– Brandon_J
6 hours ago
2
You could improve this by replacing the rook with a minor piece. A possible perpetual could be for instance: black Bf8, Ng7, Kh8; white: Nf7+, Kg6 and the knight is shuffling between h6 and f7. I am sure you can place 9 queens and the rest of the material somewhere on the board so that it does not interfere with the perpetual.
– user1583209
5 hours ago
add a comment |
[fen ""]
1. a4 b5 2. b4 bxa4 3. c4 c5 4. d4 cxb4 5. e4 d5 6. f4 dxc4 7. g4 e5
8. h4 exd4 9. Ba3 g5 10. Nc3 gxh4 11. Qb3 f5 12. Kf2 h3 13. Kg3 h2
14. Bd3 Qa5 15. Kh4 dxc3 16. Kg5 h5 17. Kg6 cxb3 18. g5 Rh7 19. Ra2 Rc7
20. Bc4 Rxc4 21. Kh7 Bd6 22. g6 fxe4 23. Kg7 hxg1=Q 24. Kh7 h4 25. Kg7 h3
26. Kh7 h2
27. Kg7 bxa3 28. Kh7 bxa2 29. Kg7 Qgb6 30. Rg1 hxg1=Q 31. Kh7 Nc6
32. Kg7 Nd8 33. Kh7 Nf6+ 34. Kg7 Nd7 35. Kh7 a1=Q 36. Kg7 c2+ 37. Kh7 Qab1
38. Kg7 Qb8 39. Kh7 Q1b7 40. Kg7 c1=Q 41. Kh7 a2 42. Kg7 a1=Q+
43. Kh7 Qab1 44. Kg7 Qb1b6 45. Kh7 a3 46. Kg7 a2 47. Kh7 a1=Q 48. Kg8 Qab1
49. Kg7 Q1b5 50. Kh7 Nf6+ 51. Kh8 Bd7 52. Kg7 Nc6 53. Kh8 Be7 54. Kg7 Bd8
55. Kh8 e3 56. g7 Ne4 57. Kh7 Qab4 58. Kh8 a5 59. Kh7 a4 60. Kh8 a3
61. Kh7 a2 62. Kh8 Qxf4 63. Kh7 a1=Q 64. Kg8 e2 65. Kh8 Nc5 66. Kh7 Re4
67. Kh8 Re6 68. Kh7 Qf4b8 69. Kh8 Ra6 70. Kh7 Qb6a7 71. Kh8 Nd4
72. Kh7 Rad6 73. Kh8 e1=Q 74. Kh7 Qg1e3
add a comment |
This position, with a material difference of 1 queen, 2 rooks, a bishop and a knight, is (quite easily) reachable from the starting position:
7k/8/8/1n6/1p1p1p1p/pPpPpPpP/P1P1P1P1/RQNKNB1R w - - 0 1
You could add a white bishop on g1 and a black knight on f5, but the material difference remains the same.
Assuming white only moves its rook back and forth, black could play Nd6, Nc4, and Nb2. From there the (strange) line Qxb2 Kg8 Qb1 is also a draw with one less knight.
– Brandon_J
6 hours ago
1
@Brandon_J: Without the black knight, white would play Qb2 and then Qxa3 (or Qxc3) and then it s not a draw anymore.
– user1583209
5 hours ago
Ahhh...would never have seen Qb2 for white
– Brandon_J
4 hours ago
add a comment |
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3 Answers
3
active
oldest
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3 Answers
3
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With white to move, the following position is a draw:
I think it's reachable from the original position, although it would be difficult. I'll let you know if I can.
Heh, that idea works too, but I'm not sure if the OP wants to include perpetual check or not.
– Glorfindel
6 hours ago
Yeah, I'm not sure, either, but since he didn't specify, I felt obligated.
– Brandon_J
6 hours ago
2
I am the OP and I am not sure as well. Since I am not sure, theoretically no one knows for sure whether the OP wants to include perpetual check or not.
– Zuriel
6 hours ago
hahaha this could get awkward
– Brandon_J
6 hours ago
2
You could improve this by replacing the rook with a minor piece. A possible perpetual could be for instance: black Bf8, Ng7, Kh8; white: Nf7+, Kg6 and the knight is shuffling between h6 and f7. I am sure you can place 9 queens and the rest of the material somewhere on the board so that it does not interfere with the perpetual.
– user1583209
5 hours ago
add a comment |
With white to move, the following position is a draw:
I think it's reachable from the original position, although it would be difficult. I'll let you know if I can.
Heh, that idea works too, but I'm not sure if the OP wants to include perpetual check or not.
– Glorfindel
6 hours ago
Yeah, I'm not sure, either, but since he didn't specify, I felt obligated.
– Brandon_J
6 hours ago
2
I am the OP and I am not sure as well. Since I am not sure, theoretically no one knows for sure whether the OP wants to include perpetual check or not.
– Zuriel
6 hours ago
hahaha this could get awkward
– Brandon_J
6 hours ago
2
You could improve this by replacing the rook with a minor piece. A possible perpetual could be for instance: black Bf8, Ng7, Kh8; white: Nf7+, Kg6 and the knight is shuffling between h6 and f7. I am sure you can place 9 queens and the rest of the material somewhere on the board so that it does not interfere with the perpetual.
– user1583209
5 hours ago
add a comment |
With white to move, the following position is a draw:
I think it's reachable from the original position, although it would be difficult. I'll let you know if I can.
With white to move, the following position is a draw:
I think it's reachable from the original position, although it would be difficult. I'll let you know if I can.
answered 6 hours ago
Brandon_JBrandon_J
3126
3126
Heh, that idea works too, but I'm not sure if the OP wants to include perpetual check or not.
– Glorfindel
6 hours ago
Yeah, I'm not sure, either, but since he didn't specify, I felt obligated.
– Brandon_J
6 hours ago
2
I am the OP and I am not sure as well. Since I am not sure, theoretically no one knows for sure whether the OP wants to include perpetual check or not.
– Zuriel
6 hours ago
hahaha this could get awkward
– Brandon_J
6 hours ago
2
You could improve this by replacing the rook with a minor piece. A possible perpetual could be for instance: black Bf8, Ng7, Kh8; white: Nf7+, Kg6 and the knight is shuffling between h6 and f7. I am sure you can place 9 queens and the rest of the material somewhere on the board so that it does not interfere with the perpetual.
– user1583209
5 hours ago
add a comment |
Heh, that idea works too, but I'm not sure if the OP wants to include perpetual check or not.
– Glorfindel
6 hours ago
Yeah, I'm not sure, either, but since he didn't specify, I felt obligated.
– Brandon_J
6 hours ago
2
I am the OP and I am not sure as well. Since I am not sure, theoretically no one knows for sure whether the OP wants to include perpetual check or not.
– Zuriel
6 hours ago
hahaha this could get awkward
– Brandon_J
6 hours ago
2
You could improve this by replacing the rook with a minor piece. A possible perpetual could be for instance: black Bf8, Ng7, Kh8; white: Nf7+, Kg6 and the knight is shuffling between h6 and f7. I am sure you can place 9 queens and the rest of the material somewhere on the board so that it does not interfere with the perpetual.
– user1583209
5 hours ago
Heh, that idea works too, but I'm not sure if the OP wants to include perpetual check or not.
– Glorfindel
6 hours ago
Heh, that idea works too, but I'm not sure if the OP wants to include perpetual check or not.
– Glorfindel
6 hours ago
Yeah, I'm not sure, either, but since he didn't specify, I felt obligated.
– Brandon_J
6 hours ago
Yeah, I'm not sure, either, but since he didn't specify, I felt obligated.
– Brandon_J
6 hours ago
2
2
I am the OP and I am not sure as well. Since I am not sure, theoretically no one knows for sure whether the OP wants to include perpetual check or not.
– Zuriel
6 hours ago
I am the OP and I am not sure as well. Since I am not sure, theoretically no one knows for sure whether the OP wants to include perpetual check or not.
– Zuriel
6 hours ago
hahaha this could get awkward
– Brandon_J
6 hours ago
hahaha this could get awkward
– Brandon_J
6 hours ago
2
2
You could improve this by replacing the rook with a minor piece. A possible perpetual could be for instance: black Bf8, Ng7, Kh8; white: Nf7+, Kg6 and the knight is shuffling between h6 and f7. I am sure you can place 9 queens and the rest of the material somewhere on the board so that it does not interfere with the perpetual.
– user1583209
5 hours ago
You could improve this by replacing the rook with a minor piece. A possible perpetual could be for instance: black Bf8, Ng7, Kh8; white: Nf7+, Kg6 and the knight is shuffling between h6 and f7. I am sure you can place 9 queens and the rest of the material somewhere on the board so that it does not interfere with the perpetual.
– user1583209
5 hours ago
add a comment |
[fen ""]
1. a4 b5 2. b4 bxa4 3. c4 c5 4. d4 cxb4 5. e4 d5 6. f4 dxc4 7. g4 e5
8. h4 exd4 9. Ba3 g5 10. Nc3 gxh4 11. Qb3 f5 12. Kf2 h3 13. Kg3 h2
14. Bd3 Qa5 15. Kh4 dxc3 16. Kg5 h5 17. Kg6 cxb3 18. g5 Rh7 19. Ra2 Rc7
20. Bc4 Rxc4 21. Kh7 Bd6 22. g6 fxe4 23. Kg7 hxg1=Q 24. Kh7 h4 25. Kg7 h3
26. Kh7 h2
27. Kg7 bxa3 28. Kh7 bxa2 29. Kg7 Qgb6 30. Rg1 hxg1=Q 31. Kh7 Nc6
32. Kg7 Nd8 33. Kh7 Nf6+ 34. Kg7 Nd7 35. Kh7 a1=Q 36. Kg7 c2+ 37. Kh7 Qab1
38. Kg7 Qb8 39. Kh7 Q1b7 40. Kg7 c1=Q 41. Kh7 a2 42. Kg7 a1=Q+
43. Kh7 Qab1 44. Kg7 Qb1b6 45. Kh7 a3 46. Kg7 a2 47. Kh7 a1=Q 48. Kg8 Qab1
49. Kg7 Q1b5 50. Kh7 Nf6+ 51. Kh8 Bd7 52. Kg7 Nc6 53. Kh8 Be7 54. Kg7 Bd8
55. Kh8 e3 56. g7 Ne4 57. Kh7 Qab4 58. Kh8 a5 59. Kh7 a4 60. Kh8 a3
61. Kh7 a2 62. Kh8 Qxf4 63. Kh7 a1=Q 64. Kg8 e2 65. Kh8 Nc5 66. Kh7 Re4
67. Kh8 Re6 68. Kh7 Qf4b8 69. Kh8 Ra6 70. Kh7 Qb6a7 71. Kh8 Nd4
72. Kh7 Rad6 73. Kh8 e1=Q 74. Kh7 Qg1e3
add a comment |
[fen ""]
1. a4 b5 2. b4 bxa4 3. c4 c5 4. d4 cxb4 5. e4 d5 6. f4 dxc4 7. g4 e5
8. h4 exd4 9. Ba3 g5 10. Nc3 gxh4 11. Qb3 f5 12. Kf2 h3 13. Kg3 h2
14. Bd3 Qa5 15. Kh4 dxc3 16. Kg5 h5 17. Kg6 cxb3 18. g5 Rh7 19. Ra2 Rc7
20. Bc4 Rxc4 21. Kh7 Bd6 22. g6 fxe4 23. Kg7 hxg1=Q 24. Kh7 h4 25. Kg7 h3
26. Kh7 h2
27. Kg7 bxa3 28. Kh7 bxa2 29. Kg7 Qgb6 30. Rg1 hxg1=Q 31. Kh7 Nc6
32. Kg7 Nd8 33. Kh7 Nf6+ 34. Kg7 Nd7 35. Kh7 a1=Q 36. Kg7 c2+ 37. Kh7 Qab1
38. Kg7 Qb8 39. Kh7 Q1b7 40. Kg7 c1=Q 41. Kh7 a2 42. Kg7 a1=Q+
43. Kh7 Qab1 44. Kg7 Qb1b6 45. Kh7 a3 46. Kg7 a2 47. Kh7 a1=Q 48. Kg8 Qab1
49. Kg7 Q1b5 50. Kh7 Nf6+ 51. Kh8 Bd7 52. Kg7 Nc6 53. Kh8 Be7 54. Kg7 Bd8
55. Kh8 e3 56. g7 Ne4 57. Kh7 Qab4 58. Kh8 a5 59. Kh7 a4 60. Kh8 a3
61. Kh7 a2 62. Kh8 Qxf4 63. Kh7 a1=Q 64. Kg8 e2 65. Kh8 Nc5 66. Kh7 Re4
67. Kh8 Re6 68. Kh7 Qf4b8 69. Kh8 Ra6 70. Kh7 Qb6a7 71. Kh8 Nd4
72. Kh7 Rad6 73. Kh8 e1=Q 74. Kh7 Qg1e3
add a comment |
[fen ""]
1. a4 b5 2. b4 bxa4 3. c4 c5 4. d4 cxb4 5. e4 d5 6. f4 dxc4 7. g4 e5
8. h4 exd4 9. Ba3 g5 10. Nc3 gxh4 11. Qb3 f5 12. Kf2 h3 13. Kg3 h2
14. Bd3 Qa5 15. Kh4 dxc3 16. Kg5 h5 17. Kg6 cxb3 18. g5 Rh7 19. Ra2 Rc7
20. Bc4 Rxc4 21. Kh7 Bd6 22. g6 fxe4 23. Kg7 hxg1=Q 24. Kh7 h4 25. Kg7 h3
26. Kh7 h2
27. Kg7 bxa3 28. Kh7 bxa2 29. Kg7 Qgb6 30. Rg1 hxg1=Q 31. Kh7 Nc6
32. Kg7 Nd8 33. Kh7 Nf6+ 34. Kg7 Nd7 35. Kh7 a1=Q 36. Kg7 c2+ 37. Kh7 Qab1
38. Kg7 Qb8 39. Kh7 Q1b7 40. Kg7 c1=Q 41. Kh7 a2 42. Kg7 a1=Q+
43. Kh7 Qab1 44. Kg7 Qb1b6 45. Kh7 a3 46. Kg7 a2 47. Kh7 a1=Q 48. Kg8 Qab1
49. Kg7 Q1b5 50. Kh7 Nf6+ 51. Kh8 Bd7 52. Kg7 Nc6 53. Kh8 Be7 54. Kg7 Bd8
55. Kh8 e3 56. g7 Ne4 57. Kh7 Qab4 58. Kh8 a5 59. Kh7 a4 60. Kh8 a3
61. Kh7 a2 62. Kh8 Qxf4 63. Kh7 a1=Q 64. Kg8 e2 65. Kh8 Nc5 66. Kh7 Re4
67. Kh8 Re6 68. Kh7 Qf4b8 69. Kh8 Ra6 70. Kh7 Qb6a7 71. Kh8 Nd4
72. Kh7 Rad6 73. Kh8 e1=Q 74. Kh7 Qg1e3
[fen ""]
1. a4 b5 2. b4 bxa4 3. c4 c5 4. d4 cxb4 5. e4 d5 6. f4 dxc4 7. g4 e5
8. h4 exd4 9. Ba3 g5 10. Nc3 gxh4 11. Qb3 f5 12. Kf2 h3 13. Kg3 h2
14. Bd3 Qa5 15. Kh4 dxc3 16. Kg5 h5 17. Kg6 cxb3 18. g5 Rh7 19. Ra2 Rc7
20. Bc4 Rxc4 21. Kh7 Bd6 22. g6 fxe4 23. Kg7 hxg1=Q 24. Kh7 h4 25. Kg7 h3
26. Kh7 h2
27. Kg7 bxa3 28. Kh7 bxa2 29. Kg7 Qgb6 30. Rg1 hxg1=Q 31. Kh7 Nc6
32. Kg7 Nd8 33. Kh7 Nf6+ 34. Kg7 Nd7 35. Kh7 a1=Q 36. Kg7 c2+ 37. Kh7 Qab1
38. Kg7 Qb8 39. Kh7 Q1b7 40. Kg7 c1=Q 41. Kh7 a2 42. Kg7 a1=Q+
43. Kh7 Qab1 44. Kg7 Qb1b6 45. Kh7 a3 46. Kg7 a2 47. Kh7 a1=Q 48. Kg8 Qab1
49. Kg7 Q1b5 50. Kh7 Nf6+ 51. Kh8 Bd7 52. Kg7 Nc6 53. Kh8 Be7 54. Kg7 Bd8
55. Kh8 e3 56. g7 Ne4 57. Kh7 Qab4 58. Kh8 a5 59. Kh7 a4 60. Kh8 a3
61. Kh7 a2 62. Kh8 Qxf4 63. Kh7 a1=Q 64. Kg8 e2 65. Kh8 Nc5 66. Kh7 Re4
67. Kh8 Re6 68. Kh7 Qf4b8 69. Kh8 Ra6 70. Kh7 Qb6a7 71. Kh8 Nd4
72. Kh7 Rad6 73. Kh8 e1=Q 74. Kh7 Qg1e3
edited 2 hours ago
answered 2 hours ago
leftaroundaboutleftaroundabout
37127
37127
add a comment |
add a comment |
This position, with a material difference of 1 queen, 2 rooks, a bishop and a knight, is (quite easily) reachable from the starting position:
7k/8/8/1n6/1p1p1p1p/pPpPpPpP/P1P1P1P1/RQNKNB1R w - - 0 1
You could add a white bishop on g1 and a black knight on f5, but the material difference remains the same.
Assuming white only moves its rook back and forth, black could play Nd6, Nc4, and Nb2. From there the (strange) line Qxb2 Kg8 Qb1 is also a draw with one less knight.
– Brandon_J
6 hours ago
1
@Brandon_J: Without the black knight, white would play Qb2 and then Qxa3 (or Qxc3) and then it s not a draw anymore.
– user1583209
5 hours ago
Ahhh...would never have seen Qb2 for white
– Brandon_J
4 hours ago
add a comment |
This position, with a material difference of 1 queen, 2 rooks, a bishop and a knight, is (quite easily) reachable from the starting position:
7k/8/8/1n6/1p1p1p1p/pPpPpPpP/P1P1P1P1/RQNKNB1R w - - 0 1
You could add a white bishop on g1 and a black knight on f5, but the material difference remains the same.
Assuming white only moves its rook back and forth, black could play Nd6, Nc4, and Nb2. From there the (strange) line Qxb2 Kg8 Qb1 is also a draw with one less knight.
– Brandon_J
6 hours ago
1
@Brandon_J: Without the black knight, white would play Qb2 and then Qxa3 (or Qxc3) and then it s not a draw anymore.
– user1583209
5 hours ago
Ahhh...would never have seen Qb2 for white
– Brandon_J
4 hours ago
add a comment |
This position, with a material difference of 1 queen, 2 rooks, a bishop and a knight, is (quite easily) reachable from the starting position:
7k/8/8/1n6/1p1p1p1p/pPpPpPpP/P1P1P1P1/RQNKNB1R w - - 0 1
You could add a white bishop on g1 and a black knight on f5, but the material difference remains the same.
This position, with a material difference of 1 queen, 2 rooks, a bishop and a knight, is (quite easily) reachable from the starting position:
7k/8/8/1n6/1p1p1p1p/pPpPpPpP/P1P1P1P1/RQNKNB1R w - - 0 1
You could add a white bishop on g1 and a black knight on f5, but the material difference remains the same.
answered 6 hours ago
GlorfindelGlorfindel
12.9k43560
12.9k43560
Assuming white only moves its rook back and forth, black could play Nd6, Nc4, and Nb2. From there the (strange) line Qxb2 Kg8 Qb1 is also a draw with one less knight.
– Brandon_J
6 hours ago
1
@Brandon_J: Without the black knight, white would play Qb2 and then Qxa3 (or Qxc3) and then it s not a draw anymore.
– user1583209
5 hours ago
Ahhh...would never have seen Qb2 for white
– Brandon_J
4 hours ago
add a comment |
Assuming white only moves its rook back and forth, black could play Nd6, Nc4, and Nb2. From there the (strange) line Qxb2 Kg8 Qb1 is also a draw with one less knight.
– Brandon_J
6 hours ago
1
@Brandon_J: Without the black knight, white would play Qb2 and then Qxa3 (or Qxc3) and then it s not a draw anymore.
– user1583209
5 hours ago
Ahhh...would never have seen Qb2 for white
– Brandon_J
4 hours ago
Assuming white only moves its rook back and forth, black could play Nd6, Nc4, and Nb2. From there the (strange) line Qxb2 Kg8 Qb1 is also a draw with one less knight.
– Brandon_J
6 hours ago
Assuming white only moves its rook back and forth, black could play Nd6, Nc4, and Nb2. From there the (strange) line Qxb2 Kg8 Qb1 is also a draw with one less knight.
– Brandon_J
6 hours ago
1
1
@Brandon_J: Without the black knight, white would play Qb2 and then Qxa3 (or Qxc3) and then it s not a draw anymore.
– user1583209
5 hours ago
@Brandon_J: Without the black knight, white would play Qb2 and then Qxa3 (or Qxc3) and then it s not a draw anymore.
– user1583209
5 hours ago
Ahhh...would never have seen Qb2 for white
– Brandon_J
4 hours ago
Ahhh...would never have seen Qb2 for white
– Brandon_J
4 hours ago
add a comment |
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1
I believe if you add a white queen on a1 or b1 or b2 and a black knight on b5 it would still be draw (if you capture on a3 or c3 I am going to recapture with the knight).
– user1583209
6 hours ago