Three Vietnamese Cueists Reach the Round of 16 at the 2026 World Three-Cushion Championship: Quyet Chien Stuns a Former Champion, Thanh Luc Draws Martin Horn

On the 17th inning, Tran Quyet Chien scored his 40th point. He set the cue down, smiled slightly, then shook hands with Heo Jung Han. The scoreboard at the arena in France read 40-23. A two-time World Cup champion had fallen, not because of a misfired cue, but because his opponent never gave him enough time to recover. Seventeen innings for forty points. An average of 2.35. For thirty-two years, my desk has been covered with notes on sixteen-year-old midfielders in Cebu, on center-backs playing in a back three at the U-19 Southeast Asian championship, on Mbappé and twenty-three sprint bursts in Russia in 2026. Three-cushion carom is a different world. The table has no pockets. The cue ball must contact at least three cushions before touching the second object ball. There are no wing-backs, no high pressing, no transfer fees. There is no sideline on which to quietly push the ball out of play for tactical reasons. But there is one thing that is identical to football: data speaks. And the data in France, in the last week of September 2026, is telling a story I have not fully heard in years of following Vietnamese billiards. Tran Quyet Chien did not enter this tournament as the favorite. He entered as a cueist long accustomed to big matches, someone who has clashed with the top names of Asia and Europe for more than a decade. But the win over Heo Jung Han was not an ordinary win. It was a win that made me read the numbers three times to make sure I had not mistaken a column. To understand why the number 2.35 matters, we need a brief look at the structure of an elite three-cushion match. The match runs to forty points. The winner is the first to forty. But what determines class is not the point total; it is the number of innings used to reach it. A cueist who scores forty points in twenty innings has an average of 2.0. Scoring forty in seventeen innings yields 2.35. At world championship level, most cueists sustain averages somewhere between 1.5 and 2.2 across a tournament. Crossing 2.0 in a single match is a marker of peak form. Quyet Chien hit that mark in his first match, then slipped in his second. That is the point I want readers to hold onto before digging into each player, because if you only read 40-23 and nod that Vietnam is rising, you have missed the other half of the story. The context first. The 2026 World Three-Cushion Championship was organized by UMB, the world governing body for carom, and hosted in France. The group stage had just concluded and the knockout stage began less than twenty-four hours later. The format is round-robin groups followed by single-match knockouts, each match to forty points. Structurally, this is a format with very high variance, and I will return to that point several times. Vietnam sent five cueists: Tran Quyet Chien, Bao Phuong Vinh, Tran Thanh Luc, Chiem Hong Thai and Chau Hong Thai. Three advanced; two exited. A sixty percent group-stage advancement rate. That sounds positive, but I do not want to stop at a percentage, because a percentage hides the class distinction between those who advanced and those who did not. Look at how the three advanced. Tran Quyet Chien and Bao Phuong Vinh both won two of two, topping their groups. Tran Thanh Luc won one and lost one, advancing as group runner-up. Chiem Hong Thai and Chau Hong Thai both lost both matches and finished bottom of their groups. Four tiers of results, four different stories. And I believe a serious article on Vietnamese billiards must tell all four. Start with the name mentioned most. Tran Quyet Chien entered the tournament with a résumé that is anything but modest. He has been a familiar face on the Vietnamese carom scene for over a decade, having repeatedly faced the top cueists of Asia. What stood out here was not his reputation but his management of match tempo. His opener came against Heo Jung Han, a two-time World Cup champion from South Korea. This is not a comfortable opponent in any context, let alone at the start of a tournament. Heo Jung Han is known for a calm style, for cue-ball position control, and for long scoring runs that leave opponents unable to reach the table. Against such a cueist, the crucial thing is not to let him build a run. Quyet Chien took that away from him. The final score was 40-23 after seventeen innings. Let me parse that the way I parse football metrics. In seventeen innings, Quyet Chien scored forty points for an average of 2.35 per inning. Heo Jung Han also scored twenty-three points, but his innings count was not clearly disclosed in the score sheet I collected. That means I cannot precisely compute the former champion's average, and by my own rule, when data is insufficient, I say I do not know rather than guess. One thing I am certain of: Quyet Chien closed the match with a ten-point run. This is the most important datum of the whole match, and I admit I initially missed it. A ten-point run to finish a match to forty is not merely a nice number. It is a signal of composure under pressure. A cueist who misfires at point thirty-five loses the run. Quyet Chien did not. That is his first strength: the ability to close a match once he has the advantage. His first weakness lies in the second match. In the next fixture, Quyet Chien faced Song Yun Do, another Korean cueist. The final score was 40-25 after twenty-nine innings. Average: 1.38. From 2.35 to 1.38 in a single day. A full point of average swing between two consecutive matches. In football, people speak of form as something abstract. In carom, form is a very concrete ratio: points divided by innings. And Quyet Chien's ratio free-fell within twenty-four hours. I do not want to rush to conclude he ran out of gas. There are at least three explanations for the drop, and I rank them by confidence. The first explanation, with the highest confidence, is that once qualification was nearly secured, Quyet Chien deliberately eased off. In a group format that allows two to advance, having beaten a former champion in the opener almost guaranteed a slot. He may have chosen a safer approach to conserve energy for the knockout. This is a sound strategy, consistent with the temperament of a cueist who has competed at the top for years. The second explanation, medium confidence, is the physical factor. Two matches within two days, each potentially one to two hours. For a cueist in his forties like Quyet Chien, recovery after a tense match does not happen as fast as in youth. The third explanation, low confidence, is the natural variance of this sport. Three-cushion carom is a game in which the cue ball can carom along unpredictable paths. A good cueist sustains a high average, but no cueist holds peak form in every match. Crucially, all three explanations lead to the same conclusion: we do not yet have enough data to judge Quyet Chien in the knockout round. And that is precisely what I want to say in this article. One season is just a season. Three seasons is a player's confession. I wrote that line for football, but it holds true for carom no differently. Two group matches are not enough to draw a portrait of Quyet Chien at this tournament. They are only enough to draw a curve of oscillation. Bao Phuong Vinh, the second name. He entered as a former world champion. That is a peculiar status, because it carries two-way expectation. On one hand, people expect a deep run. On the other, any defeat will be framed as past his peak. For a former champion, only two outcomes get recorded: winning again, or being declared finished. But Phuong Vinh's group-stage numbers were better than Quyet Chien's. His first match: a 40-26 win after seventeen innings. Average 2.35, exactly matching Quyet Chien's figure against Heo Jung Han. His second: a 40-27 win after twenty-six innings. Average 1.54. Combined, he scored eighty points in forty-three innings, for an average of 1.86. This is the best figure among the three advancing Vietnamese cueists. What stands out is that Phuong Vinh maintained stability better than Quyet Chien. He had no match below the 1.5 threshold. While Quyet Chien oscillated from 2.35 down to 1.38, Phuong Vinh oscillated from 2.35 down to 1.54. A swing of 0.81 points, versus Quyet Chien's 0.97. The difference is small but meaningful in a single-match knockout format. A cueist with a stable average between 1.7 and 1.9 is often safer than one with a peak of 2.3 but a possible floor of 1.3. But I do not want to turn stability into an absolute value. In carom, sometimes you need an explosive match to beat a strong opponent. And Quyet Chien has shown he can explode in exactly the match that requires it. So between the two, who is more likely to run deep? The honest answer is that I do not know, and anyone who says they do is selling you belief instead of judgment. What I know is that both had two group matches with different characteristics. Quyet Chien had the better explosion. Phuong Vinh the better stability. Both topped their groups. Both must play a Round of 16 within twenty-four hours of the group stage ending. Tran Thanh Luc, the third name. This is the most complicated case, and the one I want to spend the most time on. Thanh Luc won one, lost one, advancing as runner-up. Sounds positive. But against the detailed numbers, the picture is less pretty than the result. Across two matches, he scored sixty-four points in forty-two innings, for an average of 1.52. That is lower than both of his compatriots who advanced alongside him. The darkest point is in the loss. Thanh Luc fell to Munoz Raymundo 40-24 after nineteen innings. Meaning the opponent scored forty points at an average of 2.11 per inning. In any match at world level, letting an opponent reach an average above 2.0 is a failure of tempo control. I call it a failure of tempo control rather than a technical failure, because in three-cushion carom, when a cueist lets an opponent build consecutive runs, the cause is usually not a bad shot but an inability to reclaim the table. The better the opponent plays, the longer you sit. Each time you sit down is another cold start. For Thanh Luc, he clearly lost the table for most of that match. And he advanced only on the strength of the other result in the group. This is the point I want readers to grasp. When a cueist advances as runner-up, his ticket is not entirely in his own hands. In a three-player group, second place depends on the head-to-head dynamics among three. If the third player beats the second in the remaining match, the picture can flip. I am not saying Thanh Luc was lucky. I am saying he advanced by a different route, and that route gives us different information about him. It tells us Thanh Luc can withstand the pressure of a decisive match, but has not yet proven he can impose his game on an opponent. And now, in the Round of 16, he faces Martin Horn. Martin Horn is Germany's number one. At European level, Horn is one of those cueists no one wants to draw in a knockout. He has a deep international record, a solid game, and a strong ability to punish opponents' mistakes. Bluntly: this is the hardest of the three draws for the three Vietnamese cueists. I do not write this to be pessimistic. I write it to set expectations correctly. If Thanh Luc beats Horn, it will be one of Vietnamese billiards' most memorable wins in years. If he loses, it is what anyone following the sport would have predicted. Chiem Hong Thai and Chau Hong Thai are a different story. Both lost both matches and finished bottom of their groups. I do not have sufficient detailed data on these two in this tournament, and by my two-round verification rule, I will not go deep on what I lack data for. What I can say is this: a class gap exists between Vietnam's top cueists and those behind them. That is a fact, not a criticism. Every emerging billiards nation goes through this stage. Now the part I consider most important: the knockout format. The Round of 16 is single-match, to forty points, each match lasting roughly one to two hours. The schedule is compressed into less than twenty-four hours, from the afternoon of September 25 to the early morning of September 26. Twenty-four hours for three decisive matches for three Vietnamese cueists. I want to be explicit about the statistical consequence of this format. In a match to forty points, typical innings run between twenty and thirty. If a cueist averages 1.8, he needs about twenty-two innings to win. If the opponent averages 2.0, the opponent needs twenty. The gap between winning and losing in such a match is sometimes just a few innings. That is why group-stage averages have low predictive value for the knockout. Forty points is not long enough for small class differentials to be smoothed out. It is only long enough for one cueist to catch momentum and another to lose it. In football, you have ninety minutes to correct mistakes. In three-cushion carom in this format, you have about twenty innings. If you lose the first four, you can lose the match. If you win the first four, you can win the match. I want to emphasize that this is not a criticism of the format. It is an observation about its nature. Every sport has its own variance threshold. Football has football's threshold. Carom has carom's. And at this threshold, any of the three Vietnamese cueists can advance, and any can exit. The difference between the two outcomes is sometimes a shot off by a millimeter on the third cushion. That is why I do not offer absolute predictions. I only offer conditional probabilities, and I explain the conditions. Condition one: Martin Horn. Thanh Luc has the lowest probability of advancing among the three. Condition two: Glenn Hofman of the Netherlands. Quyet Chien faces an experienced European cueist, but not an unbeatable one. This is a winnable draw. Condition three: Roland Forthomme of Belgium. Phuong Vinh faces a veteran who has proven his class across many major events. This is an even draw. Under these conditions, two cueists with real chances to advance are Quyet Chien and Phuong Vinh. Thanh Luc is the one who must produce an upset. But once again, data does not permit us to conclude outcomes in advance. Data only permits us to realign expectations with reality. And there is another signal from the tournament I do not want to skip. Kiraz Tolgahan of Turkey was eliminated. He is one of the top cueists in the world, and his exit at the group stage shows something important: at this tournament, seeds are not protected the way people assume. Anyone can lose to anyone in a match to forty points. That cuts both ways. On one hand, it opens opportunity for lower-rated cueists. On the other, it warns that Quyet Chien and Phuong Vinh themselves can become victims of this format. I have lived long enough in this profession never to side with the small-town-beats-the-giant narrative. Because behind those romantic stories are usually financial and structural gaps that never get mentioned. But I also do not side with the narrative that class is everything. Because in short formats, class is compressed, and the remainder is decided by things smaller than class. That is the counterintuitive point I want readers to carry away. We often think of a world championship as a measurement of class. But a world championship in a single-match format measures only two things: the class at the minimum threshold required to qualify, and the form on the exact day of play. It does not measure who is best overall. That is why cueists like Quyet Chien and Phuong Vinh must win twice: once on the table to advance, and again on the table to prove that the group stage was not their peak. So what about the group-stage data? I have dug into numbers the way one digs into sediment: every layer has the bones of a story. And the layer I want to point to here is the gap between the two groups of Vietnamese cueists. Look at the group-stage averages: Tran Quyet Chien: 1.74 points per inning. Bao Phuong Vinh: 1.86 points per inning. Tran Thanh Luc: 1.52 points per inning. These three figures sit inside the same tournament, under the same table conditions, at the same point in the season. The gap between 1.86 and 1.52 is 0.34 points per inning. In a match to forty points, that gap corresponds to roughly five to seven innings. Five to seven innings is enough time for a cueist to catch a run. That is why I say Thanh Luc advanced by a different route, and that route deserves an accurate assessment. He did not advance because he played better than his two compatriots. He advanced because he was fortunate at the exact moment that mattered, and there is nothing wrong with that. But it means that in the Round of 16, Thanh Luc must raise his average by at least a quarter point to have a chance against Martin Horn. I am not sure he can. But I am also not sure he cannot. And that is the limit of the data at this point. Now I want to address another dimension: the regional context. Vietnamese billiards has held a significant position in Asia for years. But regional standing does not translate directly into global standing. What differs at the world championship is the presence of European cueists with dense technical foundations and international experience. At this tournament, we see that clearly. While the Vietnamese cueists fought tense matches in the group stage, the top European cueists progressed with steady form. But that does not mean the gap is not narrowing. Kiraz Tolgahan's elimination is a sign that even the top cueists are no longer immune. I have followed Southeast Asian youth football for over thirty years and learned one thing: the progress of a sporting nation is not measured by a single tournament. It is measured by the ability to sustain a presence at the top level over years. Vietnamese billiards is in the middle of that process. Three cueists in the Round of 16 is a good result. But to say Vietnam is rising at world level, we need to see the same group advance in at least two or three more tournaments. And we need to see the tier behind them begin to appear. That is the biggest question this tournament leaves behind. Not the question of how far Quyet Chien goes in the Round of 16. But the question of who, in three years, will replace him and Phuong Vinh. With Chiem Hong Thai and Chau Hong Thai finishing bottom of their groups, the answer today is not clear. And that gap is worth more thought than any 40-23 win. Before GPS, I saw a ball boy in Cebu run faster than the ball. I tell that story to say that data always stands behind people, not ahead of them. In Vietnamese billiards today, I see a group of top cueists playing at world level, and a gap behind them. Both are true. Both need to be written down. Now to the final part. From all the data I have gathered and analyzed, this is what I can say with sufficient confidence. First, Quyet Chien and Phuong Vinh have both proven their class in the group stage. They are the two Vietnamese cueists with the highest probability of advancing. Second, both had oscillating group-stage averages. Quyet Chien oscillated more; Phuong Vinh less. In a single-match format, stability can be a small edge. Third, Thanh Luc faces the hardest draw. Any outcome other than a heavy defeat would already be success. Fourth, the knockout format has high variance. Group-stage averages do not predict single-match results well. Fifth, the absence of a successor tier is a long-term structural issue for Vietnamese billiards, and it cannot be solved by one tournament. Under those conditions, I offer this forward-looking assessment. The probability of one Vietnamese cueist reaching the quarterfinals is high, if Quyet Chien or Phuong Vinh wins in the Round of 16. The probability of two reaching the quarterfinals is medium. The probability of one reaching the semifinals is low but not impossible. And the probability of a title is a variable that anyone claiming certainty about is selling belief rather than data. What interests me more than these numbers is an open question. Vietnamese billiards currently owns a group of top cueists capable of matching Europe in individual matches. But to become a billiards nation with depth, how many years and how many more tiers are needed? No world championship answers that question. Only time does. And at forty-eight, I no longer chase the ball. I stand still, watch it roll, and write down what I see.