2025-12-02

Claude knows chess: Nakamura vs Caruana, 2023-05-11, analysis

I wrote a package (with claude and gemini's help) that takes a database of Caruana games, runs them all through stockfish for analysis, then ranks them, then creates a terse latex report for selected top games (such as the game discussed in this column, bwt, I plan to post these python files to github at some point). This latex report was run through Claude and a "chess blog version" of the report was created. I edited this mostly for readability.

Enjoy!

This is based on the python-stockfish programs and written by claude, but edited by wdj.

Nakamura vs Caruana, rapid, Champions Chess Tour, 2023

Clash of American Titans: Nakamura vs. Caruana

A Sicilian Struggle in the 2023 Champions Chess Tour Quarterfinals

Date: May 11, 2023
Event: Champions Chess Tour – Quarter-Finals
Players: GM Hikaru Nakamura (White) vs. GM Fabiano Caruana (Black)
Result: ½–½ (Draw by repetition, 58 moves)
Opening: Sicilian Defense, Moscow Variation with Maroczy Bind


The Tournament Setting

The 2023 Champions Chess Tour represented the pinnacle of online rapid chess competition, bringing together the world's elite players in a series of high-stakes knockout events throughout the year. With a combined prize pool exceeding $2 million across six major tournaments, the CCT attracted virtually every top grandmaster in the world.

This quarterfinal clash between Hikaru Nakamura and Fabiano Caruana—two of America's finest chess talents—was always destined to be a headline matchup. By May 2023, both players were in peak form: Nakamura, the five-time U.S. Champion and dominant online chess personality, had already proven himself nearly unstoppable in rapid formats. Caruana, the 2018 World Championship challenger and reigning U.S. Champion, had been showing renewed strength in both classical and rapid chess.

The tournament field featured a who's who of elite chess: Magnus Carlsen, the newly-crowned former World Champion; Wesley So, another American super-GM; Nodirbek Abdusattorov, the young Uzbek world rapid champion; Maxime Vachier-Lagrave, France's longtime number one; and rising stars like India's Gukesh and Praggnanandhaa. The time control for CCT events was typically 15 minutes plus a 3-second increment per move, demanding both precise calculation and practical decision-making under pressure.


Opening Theory: The Moscow Variation with a Maroczy Twist

Nakamura opened with 1.e4, inviting a theoretical battle. Caruana responded with his trusted 1...c5, the Sicilian Defense—perhaps the most combative reply to 1.e4 and a cornerstone of his repertoire.

The game entered the Moscow Variation after 3.Bb5+, a line that sidesteps the razor-sharp Open Sicilians while retaining practical winning chances. After 3...Nd7 4.Ba4 Nf6 5.O-O a6, Nakamura unveiled his plan: 6.c4—establishing the Maroczy Bind structure.

A natural question arises: why didn't Caruana grab the "free" e4-pawn with 6...Nxe4? The answer lies in a clever tactical point: after 7.Re1 Nf6 8.d4, White has rapid development and a powerful center. The bishop pair, open e-file, and strong d4-d5 push give White a lasting positional advantage that more than compensates for the pawn. Black's extra pawn would be difficult to hold, and his development would lag dangerously. Caruana wisely declined the bait.

This pawn formation (pawns on c4 and e4 controlling the central d5 square) has been a strategic weapon since the 19th century, named after the Hungarian master Géza Maróczy. The bind restricts Black's counterplay and gives White a lasting space advantage, though Black's position remains solid if handled correctly.


The Complete Game with Analysis

Here is the full game with critical moments highlighted:

[Event "CCT Quarter-Finals"]

[Site "Online"]

[Date "2023.05.11"]

[Round "4.1"]

[White "Nakamura, Hikaru"]

[Black "Caruana, Fabiano"]

[Result "1/2-1/2"]

[Opening "Sicilian, Moscow Variation"]

1.e4 c5 2.Nf3 d6 3.Bb5+ Nd7 4.Ba4 Nf6 5.O-O a6 6.c4 e6

As indicated above, after 6...Nxe4?, White has 7.Re1 Nf6 8.d4, with a positional advantage that more than compensates for the pawn.

7.Nc3 Be7 8.d4 cxd4 9.Nxd4 Qc7 10.Qe2 O-O

The Opening Phase (Moves 1-10): Both players handle the opening accurately. Nakamura establishes the Maroczy Bind with c4, and Caruana develops harmoniously. After castling, Black has achieved a comfortable position.

11.Be3?

Critical Mistake #1: This natural-looking developing move is actually an error. Stockfish indicates that 11.Kh1 was more precise, prophylactically removing the king from any potential discoveries or ...Ng4 ideas. By playing Be3, White's position becomes slightly more vulnerable to Black's piece activity. The bishop on e3 can become a target, and White loses some coordination.

11...Ne5 12.Bb3 Bd7 13.Rac1 Rac8 14.f3 Rfe8 15.Nb1 Qb8

White plays a curious regrouping with Nb1, intending Nc3 again or possibly Nd2. This is a known idea in such structures to redeploy the knight, but the execution becomes problematic. Black's 15...Qb8 unpins the knight and prepares ...b5.

16.Rc2?

Critical Mistake #2: A significant inaccuracy. White's rook placement on c2 is passive and doesn't support any concrete plan. Stockfish preferred 16.Nc3, maintaining normal piece coordination. The text move allows Black to equalize completely and even seize the initiative.

16...Bd8?

Missed Opportunity: Surprisingly, Caruana returns the favor! The engine screams for 16...b5!, immediately challenging White's center and queenside structure. After 16...b5, Black would have excellent counterplay. Instead, the bishop retreat is slow and allows White to reorganize.

17.Kh1? Ng6?

Mutual Errors: Both players continue missing the key idea. Again 17...b5! was called for, while White should have played Nc3. The position remains balanced, but both sides are missing optimal continuations.

18.Qd2 Bc7 19.Bg1 Rcd8 20.Nc3 b5 21.cxb5 axb5 22.a4 bxa4

23.Bxa4 d5!

The Breakthrough: Finally, Caruana executes the thematic central break. With ...d5, Black opens the position and activates all his pieces. The pawn structure transforms completely. This move deserves the exclamation mark—it's not just "a good move" but the culmination of Black's strategy, transforming a cramped position into an active one.

24.Bxd7 Rxd7 25.Nc6 Qb7 26.exd5 Nxd5 27.Nxd5 Rxd5 28.Qb4 Rb5

29.Qa4?

Critical Mistake #3: Nakamura's queen placement is questionable. 29.Qd2 was more flexible, keeping options open. The queen on a4 looks active but is actually somewhat misplaced.

29...Ra8?

Missed Winning Chance: This is arguably the most significant missed opportunity of the game. Caruana could have played 29...Rxb2!, winning the b2-pawn and creating serious practical problems for White. After Rxb2, Black's rooks become extremely active and the knight on c6 would be under pressure. Instead, the rook move to a8 is merely solid, allowing White to stabilize.

30.Qe4 Bd6

Note that now 30...Rxb2?? no longer works—White has the devastating 31.Ne7+!, a discovered check from the queen on e4 that wins Black's queen on b7. This tactical resource explains why Caruana played the solid 30...Bd6 instead. The timing of tactics matters enormously.

31.Bd4? Bf8? 32.Rfc1 h6 33.Bc3?

Critical Mistake #4: White's pieces are getting tangled. 33.Rb1 was more accurate, keeping the rooks connected and maintaining flexibility. The bishop on c3 blocks the rook and creates coordination problems.

33...Rc8 34.Nd4 Qxe4 35.fxe4

The queens are off, and we've transitioned into a complex minor piece ending. White has a protected passed e-pawn and the more active knight, but Black's position remains defensible.

35...Rb7 36.g3 Be7?

Passive Defense: The bishop retreat to e7 is too slow. Stockfish preferred 36...Rc4!, immediately targeting White's e4-pawn. The rook on c4 would be actively placed, tying down White's pieces to the defense of the e-pawn and preventing White from consolidating. By contrast, 36...Be7 develops the bishop to a passive square where it merely defends, giving White time to improve his position. In endgames, active piece placement trumps passive development.

37.Nf3 Rd8 38.Kg2 Bb4?

Another Passive Choice: Again Caruana opts for a slow move. The engine preferred 38...Bf6!, which accomplishes several things: the bishop on f6 would contest the long diagonal, potentially challenge White's knight, and eye the b2-pawn. More importantly, Bf6 keeps the bishop on an active diagonal where it influences the center. The move 38...Bb4 looks active but the bishop has no real targets on b4—it's just sitting there, accomplishing little, while White's pieces coordinate against Black's position.

39.Bd4 Ne7 40.Rc7 Rb5 41.R1c4 Bd6 42.Ra7 Ng6 43.Bc3 Rdb8

44.Rca4 Ne5 45.Ra8 Rxa8 46.Rxa8+ Kh7 47.Ra5 Rxa5 48.Bxa5 Nd3

The position has simplified to knight versus bishop. White's bishop controls important squares, but Black's knight is actively placed and the pawn structure is balanced.

49.Bc3 f5 50.exf5 exf5 51.Nd4 f4 52.Ne6 g5 53.gxf4 gxf4

54.Kf3 Kg6

Despite White's slight edge, precise defense holds.

55.Ke4 Nf2+ 56.Kf3 Nd3 57.Ke4 Nf2+ 58.Kf3 Nd3

Draw by repetition. Neither side can make progress. The knight on d3 is perfectly placed, controlling key squares and preventing White's king from advancing. Black achieves a fortress.


The Final Position

Draw by repetition. Black's knight oscillates between d3 and f2,

giving perpetual check to the White king.

The knight cannot be dislodged from the d3-f2 circuit, and White cannot make progress. A fitting end to a hard-fought battle.


Statistical Summary

Player

Good Moves

Inaccuracies

Mistakes

Blunders

Accuracy

Nakamura

39 (67%)

8

6

0

83.6%

Caruana

37 (64%)

10

6

0

82.7%

Both players made no blunders but had several inaccuracies and mistakes—characteristic of rapid chess where time pressure and intuition often override deep calculation.


Lessons for Club Players

1. The Maroczy Bind Is a Strategic Weapon

When White establishes pawns on c4 and e4, Black must constantly seek counterplay with ...b5 or ...d5. Without these breaks, Black risks suffocation. In this game, Caruana delayed ...b5 repeatedly (missing it on moves 16, 17, and later), allowing the game to remain balanced rather than seizing an advantage.

Takeaway: If your opponent establishes a bind, prioritize pawn breaks. A cramped position without prospects is much harder to play than an open, dynamic one—even if the break involves some risk.

2. Rook Placement Matters Enormously

Nakamura's 16.Rc2? was a subtle but significant error. The rook accomplished nothing on c2—it wasn't doubling, it wasn't controlling an open file optimally, and it blocked coordination.

Takeaway: Before placing a rook, ask: "What is this rook doing here? What file or rank does it control? Does it support a concrete plan?" A rook needs a job.

3. Prophylaxis Before Development

The computer's recommendation of 11.Kh1 instead of Be3 illustrates a key concept: sometimes the best move isn't development but preventing your opponent's ideas. By tucking the king away, White removes tactical motifs and can develop more safely.

Takeaway: Don't just develop mechanically. Consider what your opponent wants to do, and if a prophylactic move costs little, it may be worth playing.

4. When Ahead, Simplify Carefully

After the queens came off, Nakamura had a slight edge but couldn't convert. The knight vs. bishop ending required very precise technique, and Caruana's active knight created enough counterplay to hold.

Takeaway: In minor piece endings, activity often trumps material. A knight that controls key squares (like Nd3 in the final position) can be worth more than a bishop that has nothing to target.

5. Missed Opportunities Accumulate

Both players had chances to gain decisive advantages—Nakamura with better piece coordination early, Caruana with 29...Rxb2!. Neither capitalized, and the game drifted toward a draw.

Takeaway: Every game contains critical moments. Train yourself to recognize them. Ask at tense moments: "Is there something drastic I can do here?" Even if you don't find the best move, the habit of looking sharpens your tactical vision.


Conclusion

This quarterfinal battle between two of America's greatest chess players showcased the typical tensions of high-level rapid chess: theoretical opening play giving way to practical decisions, mutual errors born of time pressure, and ultimately a draw reflecting the fine margins at the super-GM level.

For Nakamura, the draw was perhaps a slight disappointment given his practical edge in the endgame. For Caruana, missing 29...Rxb2! was a rare defensive lapse, but his tenacious defense in the ending demonstrated why he remains one of the world's most complete players.

Their rivalry would continue throughout 2023—meeting again at Norway Chess (where Nakamura dramatically overtook Caruana in the final round), the Speed Chess Championship (Nakamura winning 18.5-8.5), and the Champions Chess Tour Finals. Games like this one remind us that even at the highest level, chess remains a beautifully imperfect struggle.


This analysis incorporates Stockfish engine evaluation alongside practical chess considerations. All evaluations and assessments are designed to be instructive for club-level players while respecting the extraordinary skill demonstrated by both grandmasters.

2025-12-01

Claude knows chess: Caruana vs Anand, 2015-08-26, analysis

I wrote a package (with claude and gemini's help) that takes a database of Caruana games, runs them all through stockfish for analysis, then ranks them, then creates a terse latex report for selected top games (such as the game discussed in this column, bwt, I plan to post these python files to github at some point). This latex report was run through Claude and a "chess blog version" of the report was created. I edited this mostly for readability.

Enjoy!


This is based on the python-stockfish programs and written by claude, but edited by wdj

High-Level Precision: Caruana vs. Anand Draw in Fire

3rd Sinquefield Cup 2015, Round 4

Tournament Context

Event: 3rd Sinquefield Cup 2015
Location: Chess Club and Scholastic Center of St. Louis, Missouri, USA
Date: August 26, 2015
Round: 4
Time Control: 120 minutes for 40 moves, then 60 minutes for the rest of the game, with 30 seconds increment per move starting from move 41

White: Fabiano Caruana (USA, 2808)
Black: Viswanathan Anand (India, 2816)
Result: ½-½

Opening: Semi-Slav Defense, Anti-Moscow Gambit Variation


Historical Significance

The 2015 Sinquefield Cup represented a watershed moment in elite chess. Held at the Chess Club and Scholastic Center of St. Louis from August 22 to September 3, this was the second leg of the newly created Grand Chess Tour, which linked three premier tournaments: Norway Chess, the Sinquefield Cup, and the London Chess Classic.

This was chess history in the making—one of the strongest tournaments ever organized on American soil. The field included all of the world's top 10 players except one: Magnus Carlsen (World Champion, 2853), Fabiano Caruana (2808), Viswanathan Anand (2816), Veselin Topalov (2816), Levon Aronian (2765), Hikaru Nakamura (2814), Alexander Grischuk (2771), Anish Giri (2773), Maxime Vachier-Lagrave (2731), and Wesley So (2773). This Category XXII event (average rating 2776-2800) featured a total prize fund of $300,000.

The tournament organizers, led by Rex Sinquefield's vision to transform St. Louis into the "chess capital of America," provided world-class conditions: perfect lighting, temperature control, professional arbiters, premium chess sets, and even a "confessional booth" where players could provide real-time analysis to internet audiences mid-game—the first such feature at an American tournament.

By Round 4, the competition was fierce. Levon Aronian and Magnus Carlsen were tied for the lead, while Caruana and Anand were struggling in the lower half of the standings, making this encounter crucial for both players.


The Players

Fabiano Caruana had transferred his federation from Italy to the United States in 2015, becoming America's great hope to challenge for the world championship. At age 23, he was coming off a spectacular 2014 where he achieved a stratospheric 2844 rating. Playing on home soil at the Sinquefield Cup carried extra significance—he had won this event in 2014 (while representing Italy).

Viswanathan Anand, the legendary five-time World Champion from India, was 45 years old but still competing at the highest level. Having lost his world title to Magnus Carlsen in 2013, Anand was proving he remained a force among the elite. His deep understanding of positional chess and encyclopedic opening knowledge made him a formidable opponent in any setting.

This was a battle between American ambition and Indian experience, youth versus mastery.


The Complete Game

1. d4 d5 2. c4 c6

The Semi-Slav Defense—a solid, reliable choice by Anand. This opening has been the backbone of Black's repertoire at the highest level for decades, offering both solidity and dynamic possibilities.

3. Nf3 Nf6 4. Nc3 e6

The classical setup. Black builds a solid pawn structure and prepares to develop harmoniously.

5. Bg5 h6

The Anti-Moscow Gambit variation. Black challenges the bishop immediately, forcing a decision.

6. Bxf6 Qxf6

An important theoretical moment. White exchanges the bishop for the knight, damaging Black's pawn structure but giving up the bishop pair. This leads to a specific type of middlegame where White has more space but Black has long-term potential with the two bishops.

7. e3 g6

Anand fianchettoes, preparing to develop the dark-squared bishop to its most active diagonal. This is a modern approach to the position.

8. Bd3 Bg7 9. O-O O-O 10. e4!

Caruana plays energetically in the center. Both players are navigating the opening with near-perfect precision.

10...Qd8!

The queen retreats, seemingly passive, but this is sophisticated play. The queen makes room for other pieces and prepares to potentially support central counterplay.

11. Re1?

The first significant inaccuracy. Caruana prepares e5, but this is too slow. Stockfish preferred 11. e5, immediately seizing space in the center.

11...c5!

Anand strikes at the perfect moment! This central break is the thematic response, challenging White's center.

12. exd5?!

Inaccuracy. Caruana opens the position, but this releases the tension prematurely. The position becomes more tactical.

12...cxd4! 13. dxe6?!

Another imprecision. White continues with the forcing sequence but doesn't achieve an advantage.

13...Bxe6!

Perfect recapture. Black has excellent piece activity and the two bishops are beginning to show their strength.

14. Ne2 Qd6 15. Qd2 Nc6 16. Nf4 Bg4

Both players demonstrate deep understanding. The position is sharp and complex, with mutual chances. White has the slight initiative, but Black's pieces are perfectly coordinated.

17. Be4 Bxf3?!

Inaccuracy. Anand exchanges his good bishop for the knight. While this simplifies the position, it also removes one of Black's key pieces. Stockfish preferred keeping more tension with moves like 17...Rac8 or 17...Rad8.

18. Bxf3 Ne5 19. Bd5 Rac8

Black has the powerful knight on e5, while White has a dominant bishop on d5 and better pawn structure.

20. b3 b5 21. Rac1 bxc4 22. bxc4 Rc7

Excellent practical play from both sides. The position remains balanced but interesting, with both players creating active piece play.

23. Nd3 Nxd3?!

A questionable decision. By exchanging the powerful knight, Anand reduces Black's active pieces. Better was maintaining the tension with 23...Nc6, keeping more pieces on the board.

24. Qxd3 Kh7?!

A prophylactic move to avoid back-rank issues, but it wastes time. More natural was 24...Rd7 or 24...Rfc8, activating the rooks.

25. g3 Bf6?!

The bishop heads to a more central position f6 but Black's position is becoming slightly passive.

26. Rb1 Kg7

White activates the rook with tempo, and Black must return the king to a safer square.

27. Rb5 Rfc8 28. Reb1 Rc5

Both sides bring all their pieces into the game. The position features doubled rooks on the b-file for White and doubled rooks on the c-file for Black.

29. a4 Rxb5 30. axb5 Rc7

The first exchange of rooks. White's passed b-pawn could become dangerous in the endgame.

31. Qb3?!

Caruana's queen move is slightly imprecise. Better was 31. Kg2 or 31. h4, improving the king position or creating additional threats.

31...Qe5 32. Qf3?!

Inaccuracy. The queen trade offer doesn't lead anywhere productive. White should have maintained more pressure.

32...Bg5?

Mistake. The bishop move looks active but actually weakens Black's position. Much better was 32...Rd7!, centralizing the rook and maintaining flexibility. After 32...Bg5, White's pieces can coordinate more effectively, and the b-pawn becomes more dangerous.

33. c5!

Excellent! Caruana immediately pushes the passed pawn, creating serious threats.

33...Rd7

Forced. The rook must stop the pawn's advance.

34. b6?!

Another playable option was 34. Bc6, maintaining maximum pressure on the d7-rook, followed by 35. b6.

34...axb6

Anand must capture. The position now enters a critical phase.

35. cxb6?

Mistake! Caruana recaptures automatically, but this allows a powerful tactical blow. Stockfish shows that 35. Bc6! was winning: 35...Rd8 36. cxb6 and the b-pawn is unstoppable: 36...d3 37. Kg2 and White is clearly better.

After 35. cxb6?, Black can fight back effectively.

35...Rxd5!

Brilliant! Anand finds the only defense. Black sacrifices the exchange (rook for bishop) to eliminate White's powerful centralized piece and create dangerous passed pawns of his own.

36. Qxd5 Qxd5 37. b7 d3

Both sides race their pawns. This is the critical moment—who will promote first?

38. b8=Q d2

White gets a queen, but Black's d-pawn is one square from promoting!

39. Rd1

The only move. White must blockade the pawn immediately.

39...Qf3

Anand activates the queen with threats. The position is now a queen and bishop versus queen endgame with Black's dangerous passed pawn.

40. Qb2+ Kh7 41. Qc2 Be3

Black's bishop and pawn create sufficient counterplay. White cannot make progress without allowing perpetual check.

42. fxe3 Qxe3+

The position after this move is a theoretical draw. With the bishop gone and the d-pawn blockaded, neither side can make progress without allowing the opponent's queen to give perpetual check.

Game Drawn by Agreement

In the resulting queen endgame, neither player has realistic winning chances. The position is completely balanced, and both players agreed to split the point.


Statistical Summary

White (Caruana)

  • Total moves: 42
  • Good moves: 30 (71.4%)
  • Inaccuracies: 5
  • Mistakes: 2
  • Blunders: 0
  • Average centipawn loss: 11.5

Black (Anand)

  • Total moves: 42
  • Good moves: 32 (76.2%)
  • Inaccuracies: 4
  • Mistakes: 1
  • Blunders: 0
  • Average centipawn loss: 10.5

These statistics reveal an exceptionally high-quality game. Both players maintained an accuracy rate above 70% with no blunders—remarkable for a complex middlegame battle. Anand actually had slightly better accuracy (76.2% vs 71.4%), and his average centipawn loss was marginally lower (10.5 vs 11.5).

This is elite chess at its finest: deep preparation, precise execution, and both players navigating complexity with minimal errors.


Key Lessons for Club Players

1. Opening Preparation at the Highest Level

The first 10 moves of this game were played with near-perfect accuracy by both sides (all marked with "!" by the engine). This demonstrates the importance of:

  • Knowing critical theoretical positions
  • Understanding the resulting pawn structures
  • Having a clear plan from the opening

Lesson: Study complete games in your openings, not just the first 10-15 moves. Understanding what White wants (space, initiative) and what Black wants (the bishop pair, counterplay) helps you navigate the middlegame.

2. The Power and Peril of the Bishop Pair

Anand's fianchettoed bishop on g7 was a long-term asset, but he ultimately had to sacrifice it (17...Bxf3) and then later sacrificed the exchange (35...Rxd5) to equalize. This shows:

  • The bishop pair is powerful in open positions
  • But bishops need time and space to realize their potential
  • Sometimes, material must be sacrificed for activity

Lesson: The bishop pair is worth about 0.5 pawns in the opening but can be worth much more in open positions with play on both sides of the board. Don't overvalue it in closed positions.

3. When to Exchange Pieces

Both players made critical decisions about piece exchanges:

  • Move 17: Anand exchanged his good bishop (Bxf3)
  • Move 23: Anand exchanged his active knight (Nxd3)
  • Move 35: Anand sacrificed the exchange (Rxd5)

Lesson: Before exchanging pieces, ask:

  1. "Does this piece exchange help my position or my opponent's?"
  2. "Am I trading my active pieces for my opponent's passive ones?" (Generally bad)
  3. "Will this exchange improve my pawn structure or worsen it?"

The move 23...Nxd3 was questionable because Anand traded his most active piece for White's relatively passive knight.

4. Passed Pawns Must Be Pushed (But Carefully)

The game's climax centered on White's b-pawn and Black's d-pawn race:

  • White pushed b5-b6-b7-b8=Q
  • Black pushed d4-d3-d2
  • The race ended in a balanced queen endgame

Lesson: In the endgame, passed pawns become tremendously powerful. However, timing is everything:

  • Push when you have adequate support
  • Calculate forcing sequences (like 35. cxb6? allowing 35...Rxd5!)
  • Sometimes the threat is stronger than the execution

5. The Importance of the Exchange Sacrifice

Move 35...Rxd5! was the key defensive resource. By sacrificing the exchange (rook for bishop), Anand:

  • Eliminated White's powerful centralized bishop
  • Created a dangerous passed d-pawn
  • Generated sufficient counterplay to equalize

Lesson: Don't be materialistic! A rook is nominally worth about 5 points and a bishop about 3, but positional factors (piece activity, pawn structure, king safety) can outweigh material. When facing overwhelming positional pressure, consider an exchange sacrifice to relieve the pressure.

6. Queen Endgames are Drawish

After move 42, the position was a queen endgame with White's extra pawn balanced by Black's active queen. These positions are notoriously difficult to win because:

  • The queen is so powerful it can give perpetual check
  • King safety becomes paramount
  • Small material advantages rarely matter

Lesson: In queen endgames, the active side (better piece placement, safer king) often has better practical chances than the side with an extra pawn. Activity trumps material.

7. Precision Under Pressure

Despite both players making small inaccuracies, neither blundered. In a tournament with this level of competition:

  • Mental stamina is crucial
  • Calculation must be precise
  • Psychological pressure is immense

Lesson: In your own games, when you reach a critical position, take your time. Both players spent significant time on critical moves (like move 35), knowing that one error could be fatal. Invest time on the critical moments, not on routine developing moves.


Positional Themes

Central Tension and Pawn Breaks

The game's opening featured a classic pawn tension in the center:

  • White had pawns on c4 and d4
  • Black had pawns on c6 and d5
  • The break 11...c5! was perfectly timed

Understanding when to maintain tension versus when to release it is fundamental to chess mastery. Anand waited for the perfect moment—after White's slight inaccuracy 11. Re1?—to strike with c5.

The Isolated d-Pawn Structure (Transformed)

After the central exchanges, Black was left with an isolated d-pawn on d4 (later advancing to d3, then d2). This pawn:

  • Was weak in the middlegame (requiring piece defense)
  • Became strong in the endgame (advancing toward promotion)
  • Created tactical opportunities (the exchange sacrifice on d5)

Doubled Rooks on Files

Both players doubled their rooks:

  • White on the b-file (moves 27-28)
  • Black on the c-file (move 27-28)

This classic endgame technique puts maximum pressure on a single file, but both players found the key defensive resources.

Piece Activity in the Endgame

The crucial moment came at move 35. After 35. cxb6?, White's pieces were uncoordinated:

  • The bishop on d5 was powerful but couldn't support the b-pawn alone
  • The queen on f3 was far from the action
  • The rook on b1 was passively defending

Anand's 35...Rxd5! exploited this lack of coordination brilliantly.


Tournament Context and Aftermath

This hard-fought draw kept both players in the middle of the standings. After Round 4:

  • Levon Aronian and Magnus Carlsen were leading
  • Caruana and Anand remained in the chasing pack
  • The tournament was wide open

Levon Aronian would ultimately win the 2015 Sinquefield Cup, demonstrating exceptional consistency throughout the event. Magnus Carlsen and Veselin Topalov rounded out the podium.

The game demonstrated why the Sinquefield Cup had become one of the world's premier chess events: world-class players, perfect playing conditions, and battles that showcased the highest level of chess understanding.


The Semi-Slav Defense: A Brief Note

The Semi-Slav Defense (1. d4 d5 2. c4 c6 3. Nf3 Nf6 4. Nc3 e6) has been a mainstay of elite chess for over a century. It offers Black:

  1. Solidity: The pawn chain c6-d5-e6 is rock-solid
  2. Flexibility: Black can choose between ...dxc4, ...c5, or maintaining the tension
  3. Dynamic potential: The bishop pair and central breaks create counterplay
  4. Theoretical depth: Enormous amounts of theory reward deep preparation

The Anti-Moscow variation (5. Bg5 h6 6. Bxf6 Qxf6) specifically aims to:

  • Avoid the massive theory of the Moscow variation (5. Bg5 h6 6. Bh4)
  • Damage Black's pawn structure (doubled f-pawns after Qxf6)
  • Simplify the position while maintaining a slight edge

Both Caruana and Anand were deeply prepared in this line, which explains the high quality of their play through move 10.


Conclusion

This game exemplifies chess at the highest level: two world-class players navigating complex theoretical terrain with exceptional precision, making only minor errors, and demonstrating deep positional understanding. While the result was a draw, the game was far from boring—it featured:

  • Sharp opening theory
  • Tense middlegame maneuvering
  • Critical piece exchanges
  • A dramatic exchange sacrifice
  • A thrilling pawn race
  • A balanced queen endgame

For club players, the game offers invaluable lessons in:

  • Opening preparation and understanding pawn structures
  • Knowing when to exchange pieces
  • The power of passed pawns
  • Exchange sacrifices for positional compensation
  • Queen endgame characteristics
  • Maintaining precision under pressure

The statistics tell the story: with average centipawn losses of only 11.5 (Caruana) and 10.5 (Anand), and accuracy rates above 70%, this was chess played at a level that most club players can only aspire to. Yet by studying such games, we learn the principles that guide decision-making at every level of chess.

As Maurice Ashley said during the tournament commentary: "The organizers have made it such an attractive place to be that everyone knows it and everyone wants to be here." This game between Caruana and Anand showed why—when the world's best players are given perfect conditions, they produce chess of exceptional quality.

2025-08-18

setting up rithmomachia pieces using patterns

This is a rithmomachia lesson on the ingenious patterns that the values make between the pieces when they are in their initial position, using Blender. Hats off to those extremely clever medieval monks who created this game in the first place over 1000 years ago!

2025-07-11

Meet Professor Pyramid

In up-coming videos, Professor Pyramid
is going to explain something to you, like this:
That's the plan anyway!

2025-06-27

selected rithmomachia fireteams

More about rithmomachia is here: rithmomachia page, including various links. Here's a little video I made almost entirely from a Python program I wrote: When the code is polished a little more, I'll put it on the github site. Another animation:
In this rithmomachia game, where the computer played itself, even/black wins, a proper victory by geometrical progression --- the winning pieces are t^16, s^28, s^49.

2025-05-16

The Battle of Pythagorean Numbers

A goofy story of numbers ...

The morning fog hung low over the battlefield as Commander Square 190 rolled to the front lines, his perfectly square armor gleaming in the early light. Above them all, the giant scoreboard flickered:

"Harmony and goodness: 42 | Chaos and Evil: 64."
Odd squares and equilateral triangles and circles surround the square, listening intently.

"Listen up, Odds! We're behind the Evens!" the Commander Square bellowed, his compass-point helmet spinning nervously. "The evil Evens, the forces of Chaos, have pushed us back with their non-Euclidean tactics!"

Circle Scout darted forward, hyperventilating. "Commander! Eight evil Even enemies approach from the east! Let us all pray for the power of perfect numbers, 6, 28, 496 —" he shouted to the heavens.

"Calm yourself, Scout," Commander Square said, his voice as steady as Euler’s constant. "Remember your training. Breathe to the count of the first five Fibonacci numbers."

Triangle Warrior stomped forward, his blocky shoulders squared perfectly at 60-degree angles. He thumped his Laplacian chestplate. "Let me at 'em, Commander! My 4×4 matrix hammer is ready to seriously smash some decimal points!"

From across the battlefield, a menacing Even General Pyramid with far too many sides and components shrieked. "Your pathetic numerical harmony is doomed! Chaos reigns!"

Commander Square narrowed his radius. "Triangle, take your division battalion and flank them from the right with fluxions. Circle, your fractional forces will create a distraction with those numerator number catapults."

Triangle saluted with his angular arm. "And you, sir?"

"I'll lead the arithmetical assault with our triangular number troop,” Square said. “Those of us who are sums of square numbers will show them the meaning of true mathematical harmony!"

Circle Scout bounced nervously on his diameter. "But Commander, what if they deploy their... unsolvable equations?" He whispered the last words with terror.

Commander Square's circumference stiffened. "Then we'll do what mathematicians have always done—simplify, reduce, and solve step-by-step."

As they moved into position, Circle caught a glimpse of the banner fluttering in the algebraic wind:

"Rithmomachia: Where Math Is Always Right!"
Triangle Warrior hefted his multiplication hammer. "For Pythagoras!" he bellowed.

They charged across the field, geometric shapes of all kinds clashing in a spectacular array of mathematical operations. Square bashed a chaotic trapezoid with a mighty matrix hammer, shouting, "That's 4x4 damage—calculate that!"

Circle Scout leapt over enemies, dropping division symbols like land mines. "Can't step on these without solving them first!" he cackled.

Commander Square rolled through the fray, his geometric ratio shield deflecting diabolical denominators. He engaged the many-sided General Pyramid of Chaos, their weapons clashing in a shower of mathematical symbols.

"Your random numbers can't defeat the power of mathematical harmony!" said Square parrying a fractional number thrust.

The Even General Pyramid cackled. "Fool! There will always be chaos in mathematics! What about imaginary numbers? What about infinity?"

Square smiled. "That's the beauty of it. Even those fit into the patterns. Everything in mathematics connects—you just need to learn the rules!" With a powerful thrust of his compass sword, Commander Square solved the evil General Pyramid's equation.

The chaotic Pyramid's angles collapsed in on themselves as he shouted, "Impossible! My calculations were perfect!"

"No," replied Commander Square. "They were just incomplete."

Above them, the scoreboard flickered and changed:

"Harmony and goodness: 81 | Chaos and evil: 64"
As the remaining chaotic shapes retreated, Circle and Triangle joined their commander.

Circle thumped a round chest plate. "Victory through radial vectors!"

Triangle couldn't stand still. "Did you see me? I was adding and subtracting so fast they couldn't keep up with my calculations!"

Commander Square surveyed the battlefield, where defeated shapes were being tutored in proper mathematical principles by the victors. "Remember, Odds —- in Rithmomachia, we don't just defeat our enemies."

"We teach them," Square nodded solemnly.

"And we learn from them," Triangle added, examining a fascinating fractal pattern left behind by a fleeing chaotic shape.

Circle smiled as new recruits began to gather around them, eager to learn the ways of mathematical harmony.

"That's right," Square said. "Because the real victory in Rithmomachia isn't just winning..."

Triangle and Circle smile and nod.

"...it's understanding!" Square declares proudly.

The End

2025-03-15

North by Northwest by Hitchcock (and Ernest Lehman)

When I think of Alfred Hitchcock's North by Northwest (1959), I think of the iconic set pieces (the crop duster chase, the Mount Rushmore scenes, Cary Grant's brilliant performance, but also the screenplay, written with Hitchcock’s occasional feedback, by Ernest Lehman.
Recently, in a commentary written for Turner Classic Movies, Guillermo del Toro calls it cinema's only flawless action movie:
North by Northwest, 1959 by Alfred Hitchcock, is a perfect perpetual motion machine and is made by one of the greatest clockwork makers in cinema history – a filmmaker that could blend seamlessly comedy, drama, action, and suspense. … This is one of the canonical films of Alfred Hitchcock, The most perfect action film ever made, in my opinion.
The film follows Roger Thornhill (Cary Grant), a suave yet hapless advertising executive who is mistaken for a government agent and is subsequently thrust into a web of espionage, deceit, and danger. Thornhill's journey—from a mistaken identity at the Plaza Hotel to the climax atop Mount Rushmore—is packed with twists, yet the pacing never feels overwhelming. Lehman’s transitions between action, comedy, and romance are seamless. Thornhill’s evolution from a complacent Madison Avenue executive to an unwilling yet capable hero is one of the screenplay’s greatest strengths. His transformation feels organic, propelled by Lehman’s writing, which keeps him grounded despite the extraordinary situations he faces.
While Hitchcock is the master of suspense, it was collaborating with Ernest Lehman that produced an entertaining thriller, as well as an example of how a well-structured screenplay can become the foundation for cinematic excellence.

By the way, as a writing exercise, I re-typed the screenplay for North by Northwest (as well as The Prize from 1963, Sabrina Faire, released as Sabrina in 1954, The Sweet Smell of Success, co-written with C. Odets in 1957, and Executive Suite from 1954). If you are interested in a pdf for scholarly purposes (e.g, you need to copy and paste into a scholarly article using the Fair Use clause), just send me an email. No promises that it is free from typographical errors (of my own), but the fountain files are also available, for making your own corrections.

2025-02-19

Awesome Sauce

Awesome Sauce is a novelette in a story world I call the Avatar Academy universe.

Logline: When their planet faces an energy crisis, a team of flamboyant Venusians use avatar technology to infiltrate Earth and steal our trash, leading to hilarious encounters with Baltimore mobsters and a surprising family reunion.

This image was generated by Gemini (google's AI).

Summary: The Venusians, a secretive underground alien race with a love for spandex, face an energy crisis that threatens their luxurious lifestyle. Their solution? Earth's abundant plastic trash. They launch the audacious "Venusian Environmental Avatar Teleportation Trash 2.0" (VEATT 2.0) plan, using avatar technology to infiltrate Earth and steal plastic. Bevers Sonnof, a hapless but enthusiastic Venusian, takes control of the fearsome El Toro, an enforcer for Victor the Vicious, a Baltimore mob boss. As Bevers searches for plastic and his long-lost father, chaos ensues, involving wood-chippers, surprise parties, and a healthy dose of "awesome sauce." Meanwhile, a team of Venusian trainees uncovers a massive plastic-tracking network called P.L.A.S.T.I.C., leading to a daring heist with interplanetary implications.

Here's an image of what the underground Observation Facility on Venus might look:

I managed to get it onto amazon using publishdrive, so it's now available at amazon as a kindle ebook. (But you can also buy it as a large print novelette as well.)

Here's the book cover:

The process for writing this was different. I had already written a feature length screenplay version of this, one that had been out for reader's notes and had been revised many times. Now I want a prose version (a detailed "screenplay treatment" as the terminology goes). I should point out that I've done this process many times for many other screenplays I've written. I find it hlpes me "see" the overall plot better than a detailed outline.

This time, I tried something different. This time, to convert to the story form, I used chatGPT, Gemini, and claude to help "translate" the screenplay one scene at a time into prose. (This topic has been discussed before on the internet and this process seems to be best at the current state of AI models.) Building a good prompt for this is a whole blog post in itself, but in each case I told the AI to not change any of the dialogue used in the screenplay. Not surprisingly, the response from these AI models was "off" in many cases (that it, the story line was modified somehow, even if the dialogue did stay the same). This required a lot of proofreading and rewriting on my part, probably more work than simply "translating" the screenplay into prose by myself. More work, true, but I enjoyed the interactive process. These AI models are very polite, even when they aren't doing exactly what you want them to! I also enjoyed the fresh perspective and often the terminology it used was better than my own. It's hard for me to regard this as a collaboration, as opposed to asking a very smart screenwriting expert a large number of questions about my screenplay and then compiling and using the "notes" in my next version. That's the story of how Awesome sauce arose!

I have other screenplays in the VEATT universe and so hopefully there will be more stories like this soon.