Holes
The Holes after P-N3 (2 of 2)

Point Count Chess, NO.87A to NO.87B, p126-127
Alekhine v. Brinckmann, 1927

In this example, Black incurs a critical Hole at h6, just like in No.86A, following the advance of his g-Pawn (...g7-g6); the Fianchettoing of his dark-Bishop (...Bf8-g7), followed by its loss (exchanging for a White Knight); combined with Black's decision to Castle Kingside (...O-O).

However, because Black's e-Pawn also gets advanced (and lost), Black incurs a Hole at f6 that contributes to a Weak-Square Complex of dark-squares, on the Kingside, leaving Black's Kingside even more vulnerable than in No.86A.

With two Holes to focus on, White builds up pressure against the f6-Hole, eventually posting his f-Pawn onto that Hole, which helps prevent Black's King escaping to the Queenside, enabling White to focus on Simplifying the rest of the board, prior to what would be a final attack on Black's King (if Black hadn't chosen to resign first).

Beneath the ChessFlash viewer, you'll find my analysis of the two positions featured in Point Count Chess:
1. PCC, p.126, No.87A, after 13.Qf3
2. PCC, p.127, No.87B, after 21...Rae8
3. Result of the Holes after P-N3 (2 of 2).
4. Summary of the Holes after P-N3 (2 of 2).
5. PGN

The Holes after P-N3 (2 of 2)
My Analysis

Position #1, My Analysis
PCC, p.126, No.87A, after 13.Qf3

After: 1.e4 e5 2.Nf3 Nc6 3.Bb5 d6 4.d4 Bd7 5.Nc3 Nf6 6.Bxc6 Bxc6 7.Qd3 exd4 8.Nxd4 g6 9.Bg5 Bg7 10.O-O-O Qd7 11.h3 O-O 12.Rhe1 Rfe8 13.Qf3

After: 13.Qf3

1. How Black incurs critical Holes, on the Kingside, at f6 & h6

 HolesThe Holes after P-N3 (2 of 2), After 1.e4 e5 After 1.e4 e5, there's absolutely nothing wrong with Black's choice of first opening move, which creates the position of the Classical King Pawn Opening (1.e2-e4 e7-e5), and can lead to a number of popular Opening positions, such as the Ruy Lopez. However, in relation to the creation of Holes, and discounting Black's Pieces, it should be noted that only Black's g7-Pawn remains guarding the f6-square. That means, if Black does decide to advance his g7-Pawn, it will cause both the f6- & h6-squares to become Holes, which White can try to exploit (which is exactly what happened in this game).
 HolesThe Holes after P-N3 (2 of 2), After 2.Nf3 to 5...Nf6 After 2.Nf3 to 5...Nf6, we see the position before White forces the exchange of his light-Bishop (Bb5) for Black's Knight (Nc6). White's focus is to remove Black's e5-Pawn from the board, prior to forcing Black to advance his g7-Pawn, which creates the two vulnerable Holes, at f6 & h6.

White applies pressure to Black's e5-Pawn, with his King Knight (2.Ng1-f3) & d-Pawn (4.d2-d4), and reduces the effectiveness of Black's Queen Knight (2...Nb8-c6) to defend the e5-Pawn, by attacking the Knight with his light-Bishop (3.Bf1-b5).

Black's moves focus on bringing units to try and defend the e5-Pawn, first with the aforementioned Nc6, and then with the advance of his d-Pawn (3...d7-d6). Black's light-Bishop moves to break White's Absolute Bishop Pin (4...Bc8-d7), and is ready to complete the Minor Piece exchange that White's Bb5 threatens.

 HolesThe Holes after P-N3 (2 of 2), After 6.Bxc6 Bxc6 After 6.Bxc6 Bxc6, White weakens the support to Black's e5-Pawn, by forcing the exchange of his light-Bishop, to take-out Black's Nc6 (6.Bb5xc6), which leaves Black's e5-Pawn with just the d5-Pawn defending it. Black's light-Bishop completes the trade (6...Bd7xc6).
 HolesThe Holes after P-N3 (2 of 2), After 7.Qd3 to 8...g6 After 7.Qd3 to 8...g6, Black incurs critical Holes at f6 & h6, and a Weak-Square Complex of dark-squares, overall, on the Kingside White's Queen moves up behind her d4-Pawn (7.Qd1-d3), which prompts Black into exchanging his pressured e5-Pawn, for White's d4-Pawn (7...e5xd4). That Pawn exchange is completed by White's King Knight (8.Nf3xd4), and the Nd4's subsequent threat to land on the f6-Outpost, forces Black's g-Pawn to advance (8...g7-g6), in order to defend the f6-square, but it's at the expense of incurring those two critical Holes (f6 & h6). In addition to that, White also gains the advantage of Pawn on the 4th vs Pawn on 3rd (e4 vs d6).

The Result of the Holes after P-N3 (2 of 2)...

2. How White takes advantage of Black's f6 & h6-Holes

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 9.Bg5 Bg7 After 9.Bg5 Bg7, Black guards the f6- & h6-Holes, with the Fianchetto of his dark-Bishop. However, that's not the only reason for Black to Fianchetto his Bishop. White's dark-Bishop applies a Pin against Black's Nf6 (9.Bc1-g5), which is prevented from moving due to the need to protects its Queen (Qd8). This paralysis of Black's Nf6 has the added benefit of virtually removing an attacker from White's e4-Pawn.

IMPORTANT: Besides the Pin on Black's Nf6, White's Bg5 is also in position to be posted to the f6-Hole; it now waits patiently for White's Queen to come to f3, where she'll support this potential move.

Black defends his Nf6, with the Fianchetto of his dark-Bishop (9...Bf8-g7), and at the same time, Black's Bg7 both guards the f6- & h6-Holes, while also clearing the back rank, to enable Kingside Castling.

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 10.O-O-O to 11...O-O After 10.O-O-O to 11...O-O, White's King Castles Queenside (10.O-O-O), taking him away from the Kingside, in preparation for the advance of his Kingside Pawns, which will move forward during the assault against the Black King's stronghold. Black's King Castles Kingside (11...O-O), taking him towards his weakened Kingside structure, with the two critical Holes (f6 & h6).

Black's King supports his Fianchettoed Bishop (Bg7), while his Castled Rook (Rf8) has been released from its corner and is able to come to the e-file, to apply pressure against White's e4-Pawn.

In addition to those two moves, Black has broken the Pin on its Nf6, with the advance of his Queen (10...Qd8-d7), with those two Black Pieces coordinating toward the g4-square, in White's territory, and is probably the reason behind White's decision to guard the g4-square, with the advance of his h-Pawn (11.h2-h3).

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 12.Rhe1 Rfe8 13.Qf3 After 12.Rhe1 Rfe8 13.Qf3, both opposing King Rooks are sent to the e-file, focusing on White's e4-Pawn, which cannot advance, because of Black's d7-Pawn, but which also prevents Black's d7-Pawn from further advance of its own. White's Rook (12.Rh1-e1) defends the e4-Pawn; Black's Rook (12...Rf8-e8) attacks the e4-Pawn, increasing the pressure against it, in conjunction with Black's Bc6 & Nf6.

White then brings his Queen across to the f-file (13.Qd3-f3), in preparation to support the posting of his Bg5 to the f6-Hole.

Position #2, My Analysis
PCC, p.127, No.87B, after 21...Rae8

After: 13...Nh5 14.g4 Bxd4 15.Rxd4 Ng7 16.Bf6 Re6 17.Rdd1 Ne8 18.Bd4 Qe7 19.Re3 Ng7 20.Qf4 Qh4 21.Rde1 Rae8

After: 21...Rae8
 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 13...Nh5 to 15.Rxd4 After 13...Nh5 to 15.Rxd4, Black loses the Bishop that was guarding his f6- & h6-Holes, as his Fianchettoed Bg7 is exchanged for White's Knight, on d4. In the build up to the exchange, Black relocates his Nf6 (13...Nf6-h5), so it can play a role in trying to defend the f6-Hole, against the combined threat from White's Qf3 and Bg5.

White then starts the proper mobilization of his Kingside Pawns, with the advance of his g-Pawn (14.g2-g4), which also attacks Black's Nh5, as it comes forward.

The h6-Hole is left totally undefended by Black units, as Black decides to respond to White's g-Pawn advance, by dispensing of his Fianchettoed Bishop, exchanging it on d4, to remove White's Knight (14...Bg7xd4). White's Queen Rook completes the trade (15.Rd1xd4).

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 15...Ng7 to 18...Qe7 After 15...Ng7 to 18...Qe7, play focuses on the battle for the f6-Hole, as White seeks to use it as a base to get at Black's King, while Black, quite naturally, wants to keep White out of the vulnerable f6-square, altogether. White initially puts his dark-Bishop onto the f6-Hole (16.Bg5-f6). But, despite the support from White's Qf3, Black's Knight (15...Nh5-g7 » 17...Ng7-e8) forces White's Bishop to quit the f6-square, which required the relocation of his Rd4 (17.Rd4-d1 » 18.Bf6-d4).

The new position of White's Bishop (Bd4) not only attacks the f6-square, but continues to impact the Black King's stronghold, as it penetrates all the way through to the h8-square, preventing Black from tucking his King into that far corner square.

Black increases the defence of the f6-Hole, with the Rook (16...Re8-e6, which also cleared the e8-square, to allow ...Nh5-g7-e8), and his Queen (18...Qd7-e7).

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 19.Re3 to 21...Rae8 After 19.Re3 to 21...Rae8, for both sides, the focus is split between White's e4-Pawn and the two critical Holes (f6 & h6). The Focus on White's e4-Pawn: Both sides form Rook Batteries on the e-file; White's Rooks (19.Re1-e3 » 21.Rd1-e1) provide extra support to the e4-Pawn; Black's Rooks (21...Ra8-e8, plus Re6) apply extra pressure, attacking White's e4-Pawn.

The Focus on the f6- & h6-Holes: White's Queen moves to attack both Holes from the same square on the f-file (20.Qf3-f4), while Black's Queen moves to defend both Holes from the same h-file square (20...Qe7-h4).

Black's Knight (19...Ne8-g7) performs two main defensive functions: first by minimizing the diagonal threat from White's Bd4, by providing cover within the stronghold, to allow Black's King to move to the h8 corner square, if required; second, defending both Black Rooks that are pressurizing White's e4-Pawn.

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 22.b3 to 24.Kb2 After 22.b3 to 24.Kb2, White temporarily switches focus to defending the Queenside against potential pressure from Black's Queenside Pawns, so that White will be able to resume his focus on his Kingside assault against the Black King's stronghold. White forms a Pawn Chain up to the a-file's 4th rank (22.b2-b3 » 23.a2-a4) and then moves his King up (24.Kc1-b2), to provide support around his defensive Pawn structure.

For now, this brings a halt to the advance of Black's Pawns on the Queenside Flank (22..a7-a5 » 23...b7-b6), and the focus can return to events on the Kingside.

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 24...R8e7 25.Qh2 Ne8 After 24...R8e7 25.Qh2 Ne8, both sides prepare for White to advance more of his Kingside Pawns, toward Black's stronghold. White prepares to advance his f-Pawn, by moving his Queen out of the way (25.Qf4-h2). Black defends the f7-Pawn (and square) with a Rook (24...Re8-e7) and defends the f6-Hole and g7-square, with his Knight (25...Ng7-e8).
 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 24.f4 Nf6 27.f5 After 24.f4 Nf6 27.f5, in successive moves, White's f-Pawn is push all the way into Black's territory (24.f2-f4 » 27.f4-f5), Forking Black's Re6 & g6-Pawn, from its place of relative safety, at the head of an Advanced Salient. Black could only blockade White's f-Pawn, preventing it from further advance, by sticking his Knight in the way (26...Ne8-f6). And it would only further weaken the Black Kings's stronghold, if Black were to capture on f5, with his g6-Pawn (both f7- & h7-Pawns would become instantly Isolated and give White potential access to Black's King, through the g-file).
 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 27...Rxe4 to 29.Qf4 After 27...Rxe4 to 29.Qf4, Black gets desperate and feels "Losing the Exchange" is worth it to try and erode the strength of White's Kingside position. Black possibly hopes to tempt White into exchanging all Rooks off the board, while at the same time weakening White's Pawn structure on the Kingside, by capturing White's e4-Pawn, with his leading Rook (27...Re6xe4).

However, White ignores the reply with his Re3, instead completing the trade with his Knight (28.Nc3xe4) and allowing its loss to Black's Knight (28...Nf6xe4).

Instead of instantly continuing the trades, with Re3xe4, White brings his Queen back to the f-file (29.Qh2-f4), which further supports White's f5-Pawn, while also scoping out the h6-Hole.

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 29...g5 to 32...Re8 After 29...g5 to 32...Re8, White's f-Pawn advances deeper into Black's territory, to occupy the f6-Hole, which serves to prevent Black's King from escaping to the Queenside. First, Black's g-Pawn advances (29...g6-g5), which attacks White's Queen, forcing her to retreat to White's back rank (30.Qf4-f1), but she still helps to maintain support for the f5-Pawn, along with the dark-Bishop (Bd4).

Next, with White's e4-Pawn no longer on the board, Black's d-Pawn finally gets to advance (30...d6-d5), but the attempt to support Black's Ne4 (which is trying to help defend the f6-Hole) and transform the e4-square into an Outpost, is undermined by the advance from White's c-Pawn (31.c2-c4), which directly attacks Black's d5-Pawn.

Finally, Black appears to anticipate White's next move, and brings his Queen up to the h6-Hole (31...Qh4-h6) to apply defensive pressure to the f6-Hole, before White's f-Pawn is advanced there (32.f5-f6), which forces Black's remaining Rook to retreat to its back rank (32...Re7-e8).

A combination of White's f6-Pawn and the forced retreat of Black's Re8, has effectively blocked any potential escape routes to the Queenside, for Black's King (White's f6-Pawn guards the e7- & g7-squares; Black's Re8 blocks the route across their back rank).

 (RESULT) HolesThe Holes after P-N3 (2 of 2), After 33.cxd5 Bxd5 34.Qf5 After 33.cxd5 Bxd5 34.Qf5, Black resigns, after White follows through with the threat to exchange Pawns to take-out Black's d5-Pawn (33.c4xd5 Bc6xd5), and then White's Queen moves up into Black's territory (34.Qf1-f5). White's Qf5 continues her support of the Pawn on the f6-Hole, while also coordinating with White's Rook Battery, toward the e4-square, threatening to Simplify the position, which would enhance White's chances of victory.

Summary of the Holes after P-N3 (2 of 2)...

1. Black incurs critical Holes, on the Kingside, at f6 & h6, and a Weak-Square Complex of dark-squares, overall, all on the Kingside after advancing both his e-Pawn (1...e7-e5) & g-Pawn (8...g7-g6). There was absolutely nothing wrong with Black's decision to advance his e-Pawn. But, it then required Black's g-Pawn to remain on its game-starting square (g7), in order not to leave those two Holes (f6 & h6), especially as Black seemed intent on Castling his King toward where those Holes would be. With Black's e-Pawn already advanced, all it took was the threat to occupy the f5-Outpost -- by White's King Knight (2.Ng1-f3 » 8.Nf3xd4, with Nd4-f5 to follow), supported by White's e-Pawn (1.e2-e4) -- to coax Black to advance his g-Pawn (8...g7-g6), and in so doing, transform the f6- & h6-squares into critical Holes, that then required guarding by Black Pieces (primarily Black's dark-Bishop, by Fianchetto: 9...Bf8-g7; but also Black's King Knight: 13...Nf6-h5, albeit offering protection only to the f6-Hole).

2. White takes advantage of Black's f6 & h6-Holes:

1. White mobilizes his dark-Bishop (9.Bc1-g5), which not only applies a Pin on Black's Nf6, but also leaves White's Bg5 in position to be posted to the f6-Hole; it now waits patiently for White's Queen to come to f3, where she'll support this potential move.

2. White's King Castles Queenside (10.O-O-O), taking him away from the Kingside, in preparation for the advance of his Kingside Pawns, which will move forward during the assault against the Black King's stronghold.

3. White then brings his Queen across to the f-file (13.Qd3-f3), in preparation to support the posting of his Bg5 to the f6-Hole.

4. White then starts the proper mobilization of his Kingside Pawns, with the advance of his g-Pawn (14.g2-g4), which also attacks Black's Nh5, as it comes forward, at which point, Black decides to dispense with the services of his Fianchettoed Bishop, which had been guarding both f6- & h6-Holes, choosing to exchange it on d4, to remove White's Knight (14...Bg7xd4 15.Rd1xd4).

5. For a few moves, the focus for both sides is split between White's e4-Pawn and the two critical Holes (f6 & h6). Both sides form Rook Batteries on the e-file; White's Rooks (19.Re1-e3 » 21.Rd1-e1) provide extra support to the e4-Pawn; Black's Rooks (21...Ra8-e8, plus Re6) apply extra pressure, attacking White's e4-Pawn. Play then focuses on the battle for the f6-Hole, as White seeks to use it as a base to get at Black's King, while Black, quite naturally, wants to keep White out of the vulnerable f6-square, altogether.

6. White temporarily switches focus to defending the Queenside against potential pressure from Black's Queenside Pawns, so that White will be able to resume his focus on his Kingside assault against the Black King's stronghold. White forms a Pawn Chain up to the a-file's 4th rank (22.b2-b3 » 23.a2-a4) and then moves his King up (24.Kc1-b2), to provide support around his defensive Pawn structure. This brings a halt to the advance of Black's Pawns on the Queenside Flank (22..a7-a5 » 23...b7-b6), and the focus can return to events on the Kingside.

7. The final stages of White's offensive plan involves advancing his f-Pawn up to occupy the f6-Hole. White prepares to advance his f-Pawn, by moving his Queen out of the way (25.Qf4-h2). Then, in successive moves, White's f-Pawn is push all the way into Black's territory (24.f2-f4 » 27.f4-f5), Forking Black's Re6 & g6-Pawn, from its place of relative safety, at the head of an Advanced Salient. And, at last, White's f-Pawn advances deeper into Black's territory, to occupy the f6-Hole, which serves to prevent Black's King from escaping to the Queenside. A combination of White's f6-Pawn and the forced retreat of Black's Re8, has effectively blocked any potential escape routes to the Queenside, for Black's King (White's f6-Pawn guards the e7- & g7-squares; Black's Re8 blocks the route across their back rank).

PGN

[Event "pre-A"]
[Site "Kecskemet"]
[Date "1927.??.??"]
[EventDate "?"]
[Round "7"]
[Result "1-0"]
[White "Alexander Alekhine"]
[Black "Alfred Brinckmann"]
[ECO "C62"]
[WhiteElo "?"]
[BlackElo "?"]
[PlyCount "67"]

1. e4 e5 2. Nf3 Nc6 3. Bb5 d6 4. d4 Bd7 5. Nc3 Nf6 6. Bxc6 Bxc6 7. Qd3 exd4 8. Nxd4 g6 9. Bg5 Bg7 10. O-O-O Qd7 11. h3 O-O 12. Rhe1 Rfe8 13. Qf3 {PCC p.126 No.87A} Nh5 14. g4 Bxd4 15. Rxd4 Ng7 16. Bf6 Re6 17. Rdd1 Ne8 18. Bd4 Qe7 19. Re3 Ng7 20. Qf4 Qh4 21. Rde1 Rae8 {PCC p.127 No.87B} 22. b3 a5 23. a4 b6 24. Kb2 R8e7 25. Qh2 Ne8 26. f4 Nf6 27. f5 Rxe4 28. Nxe4 Nxe4 29. Qf4 g5 30. Qf1 d5 31. c4 Qh6 32. f6 Re8 33. cxd5 Bxd5 34. Qf5 1-0

End.