The Mathematics in Chess! - The Mathematics of positional Sacrifices
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Here is a new video from my Basic in chess series. Today we are continuing our chess tutorial videos in which I will show how to calculate positional exchange sacrifices in the middlegame
PGN OF THE GAMES IN THE VIDEO:
[Event "Bucharest"]
[Site "Bucharest ROU"]
[Date "1953.02.??"]
[EventDate "?"]
[Round "10"]
[Result "0-1"]
[White "Octavio Troianescu"]
[Black "Tigran Vartanovich Petrosian"]
[ECO "A07"]
[WhiteElo "?"]
[BlackElo "?"]
[PlyCount "114"]
1. e4 c5 2. Nf3 d6 3. d3 Nc6 4. Nbd2 g6 5. g3 Bg7 6. Bg2 e6
7. O-O Nge7 8. Re1 O-O 9. c3 b6 10. Nf1 Ba6 11. d4 cxd4
12. Nxd4 Ne5 13. Bg5 h6 14. Qa4 Bb7 15. Bxe7 Qxe7 16. Rad1
Rfc8 17. Ne3 Rc5 18. f4 Nc6 19. Nxc6 Bxc6 20. Qc2 Rd8 21. Qe2
Qb7 22. Nc2 b5 23. Rd2 Rc4 24. a3 a5 25. Ne3 Rxe4 26. Bxe4
Bxe4 27. Nc2 d5 28. Nd4 b4 29. cxb4 axb4 30. a4 Qa7 31. Qf2
Rc8 32. b3 Bf8 33. Nb5 Qa6 34. Qe2 Qb6+ 35. Kf1 Rc3 36. Nxc3
bxc3 37. Rc2 Qxb3 38. Rec1 Bb4 39. g4 Bxc2 40. Rxc2 Qxa4
41. f5 exf5 42. gxf5 g5 43. h4 Bc5 44. hxg5 Qf4+ 45. Ke1 Qg3+
46. Kd1 Qg1+ 47. Qe1 Qxe1+ 48. Kxe1 hxg5 49. Ke2 Bd4 50. Ra2
Kg7 51. Kd3 Be5 52. Ra5 Kf6 53. Rxd5 Kxf5 54. Ke3 f6 55. Rc5
Kg4 56. Rc4+ Kg3 57. Ke4 g4 0-1
[Event "FIDE Man - Machine WC"]
[Site "New York, NY USA"]
[Date "2003.07.02"]
[EventDate "2003.01.26"]
[Round "6"]
[Result "1/2-1/2"]
[White "Deep Junior (Computer)"]
[Black "Garry Kasparov"]
[ECO "B92"]
[WhiteElo "2847"]
[BlackElo "?"]
[PlyCount "55"]
1. e4 c5 2. Nf3 d6 3. d4 cxd4 4. Nxd4 Nf6 5. Nc3 a6 6. Be2 e5
7. Nb3 Be7 8. O-O O-O 9. Kh1 Bd7 10. Be3 Bc6 11. Bf3 Nbd7
12. a4 b6 13. Qd3 Bb7 14. h3 Rc8 15. Rad1 h6 16. Rfe1 Qc7
17. g3 Rfd8 18. Kh2 Re8 19. Re2 Qc4 20. Qxc4 Rxc4 21. Nd2 Rc7
22. Bg2 Rec8 23. Nb3 Rxc3 24. bxc3 Bxe4 25. Bc1 Bxg2 26. Kxg2
Rxc3 27. Ba3 Ne8 28. f4 1/2-1/2
[Event "Credit Suisse Masters"]
[Site "Horgen SUI"]
[Date "1994.09.13"]
[EventDate "?"]
[Round "9"]
[Result "1-0"]
[White "Garry Kasparov"]
[Black "Alexey Shirov"]
[ECO "B33"]
[WhiteElo "?"]
[BlackElo "?"]
[PlyCount "75"]
1.e4 c5 2.Nf3 e6 3.d4 cxd4 4.Nxd4 Nf6 5.Nc3 Nc6 6.Ndb5 d6
7.Bf4 e5 8.Bg5 a6 9.Na3 b5 10.Nd5 Be7 11.Bxf6 Bxf6 12.c3 Bb7
13.Nc2 Nb8 14.a4 bxa4 15.Rxa4 Nd7 16.Rb4 Nc5 17.Rxb7 Nxb7
18.b4 Bg5 19.Na3 O-O 20.Nc4 a5 21.Bd3 axb4 22.cxb4 Qb8 23.h4
Bh6 24.Ncb6 Ra2 25.O-O Rd2 26.Qf3 Qa7 27.Nd7 Nd8 28.Nxf8 Kxf8
29.b5 Qa3 30.Qf5 Ke8 31.Bc4 Rc2 32.Qxh7 Rxc4 33.Qg8+ Kd7
34.Nb6+ Ke7 35.Nxc4 Qc5 36.Ra1 Qd4 37.Ra3 Bc1 38.Ne3 1-0
[Event "Moscow-ch 23th"]
[Site "Moscow"]
[Date "1943.12.??"]
[Round "?"]
[White "Liublinsky, Victor Alexandrovic"]
[Black "Botvinnik, Mikhail"]
[Result "0-1"]
[ECO "C77"]
[SetUp "1"]
[FEN "1r1r2k1/2b1qp1p/b1p3p1/p1p1p3/2P1P3/1PN1BP2/P1Q3PP/R2R2K1 b - - 0 25"]
[PlyCount "57"]
[EventDate "1943.12.??"]
[EventRounds "16"]
[EventCountry "URS"]
[Source "ChessBase"]
[SourceDate "2011.11.24"]
25... Rd4 $1 {[%csl Gd4] ''The sacrifice could not be delayed. It is possible
only if Black retains one rook for the attack. After the exchange sacrifice
Black's pawn chain is repaired, he obtains a sacrificed pawn, the closed
nature of the position deprives the white rooks of any activity, and what
tells is no longer the material, but the positional advantage'' - Botvinnik.}
26. Ne2 {White's idea is to keep the bishop. According to Botvinnik this is a
questionable decision as the knight would have been perfect on d3 blocking the
D pawn.} Bc8 27. Nxd4 cxd4 28. Bf2 c5 {''White is completely without
counterplay and is obliged to await the development of events.'' Botvinnik} 29.
Rf1 f5 30. Bg3 Bd7 31. Rad1 f4 32. Bf2 g5 33. g4 fxg3 34. Bxg3 Bh3 {[%csl Gh3]}
35. Rf2 h5 {[%csl Rf4][%cal Yh5h4]} 36. Rfd2 h4 {With every move White becomes
ever more restricted.} 37. Bf2 Rf8 {[%cal Yf8f4]} 38. Rd3 Rf4 39. Kh1 Kh7 40.
Rg1 Bd8 41. Qe2 Qf7 42. Qd1 Qh5 43. Be3 Qxf3+ 44. Qxf3 Rxf3 45. Bxg5 Rxd3 46.
Bxd8 Re3 47. Bb6 ({After} 47. Bxa5 Rxe4 48. Re1 Rxe1+ 49. Bxe1 e4 50. Kg1 e3 {
[%csl Gd4,Ge3][%cal Yd4d3]}) 47... Rxe4 48. Bxc5 Re2 49. Rd1 Bg4 50. h3 Bxh3
51. b4 Bf5 52. Bd6 d3 53. bxa5 h3 0-1
[Event "Zurich Candidates"]
[Site "Zurich SUI"]
[Date "1953.08.31"]
[EventDate "1953.08.30"]
[Round "2"]
[Result "1/2-1/2"]
[White "Samuel Reshevsky"]
[Black "Tigran Vartanovich Petrosian"]
[ECO "E58"]
[WhiteElo "?"]
[BlackElo "?"]
[PlyCount "81"]
1. d4 Nf6 2. c4 e6 3. Nc3 Bb4 4. e3 O-O 5. Bd3 d5 6. Nf3 c5
7. O-O Nc6 8. a3 Bxc3 9. bxc3 b6 10. cxd5 exd5 11. Bb2 c4
12. Bc2 Bg4 13. Qe1 Ne4 14. Nd2 Nxd2 15. Qxd2 Bh5 16. f3 Bg6
17. e4 Qd7 18. Rae1 dxe4 19. fxe4 Rfe8 20. Qf4 b5 21. Bd1 Re7
22. Bg4 Qe8 23. e5 a5 24. Re3 Rd8 25. Rfe1 Re6 26. a4 Ne7
27. Bxe6 fxe6 28. Qf1 Nd5 29. Rf3 Bd3 30. Rxd3 cxd3 31. Qxd3
b4 32. cxb4 axb4 33. a5 Ra8 34. Ra1 Qc6 35. Bc1 Qc7 36. a6 Qb6
37. Bd2 b3 38. Qc4 h6 39. h3 b2 40. Rb1 Kh8 41. Be1 1/2-1/2