LANTERN MIXED TABLES
Four cards. A garden of possibilities.
Lars Rocha
Sixteen pages of play, patterns,
worked hands, and discoveries.
A dedicated WSRF companion.
Your pace. Your possibilities.
Discoveries
Build combinations that work together. Explore suited connections, coordinated ranks, and the price of growing the pot.
Four private cards meet five community cards. Choose exactly two private cards and exactly three community cards for your five-card high hand. A pot-sized raise includes the call first, then a raise equal to the resulting pot.
Take your seat with Fern and familiar AI company. The room offers heads-up or six-seat play, automatic next hands, adjustable pace, practice peeks, a visible WSRF tree, a Monte Carlo playground, and a notebook that keeps your place. Choose Gentle company while learning the rhythm, then explore Seasoned or Sharp whenever you feel ready.
Start by naming the game and the legal five-card construction. Then count the players still active and read the amount needed to continue. Those small observations give the coach’s estimate a useful setting. The worked pages that follow preserve their cards, assumptions, and numerical receipts so you can explore the same question again.
Discoveries
The room keeps the chip arithmetic close to the action.
| At this table | How it works |
|---|---|
| Starting stack | 2,000 free play chips at each seat |
| Seats | Heads-up or six seats |
| Blinds / antes | Small blind 10; big blind 20 |
| Betting | A slider and quick buttons stay inside the pot limit. |
| Street rhythm | Minimum opening bet 20; each later raise follows the last full raise. |
| Limit cap | Raises continue within the pot and stack bounds. |
| Short all-ins | A full increment reopens raising under this room’s house rule. |
| Split-chip order | The high half receives an odd split chip. Tied shares award odd chips clockwise from the stored button. |
These are the room’s declared house settings. A short stack contributes its available chips, and side pots keep each contribution matched to the players eligible for it. A returned unmatched contribution stays separate from a contested pot. Opening the Coach or Options panel holds the action while you explore.
The maximum street total is the current bet plus the pot plus the amount needed to call, bounded by your stack. The Pot button displays that total, making the next move easy to review.
Discoveries
The cards make the idea concrete.
Your four private cards offer six pairs to try. On the river, the five community cards offer ten three-card selections. The evaluator checks the sixty legal combinations, keeping the best result for the direction being compared. The illustration gives one concrete path through that menu.
Try covering the worked answer and pointing to the five chosen cards. Then name one different final card that would invite a new construction. A concrete card change is a useful way to connect imagination with the rules.
Discoveries
One away, two away, three away—and a clear reference frame.
LIKELY · 9/13 near ranks
Moving references: 5 · 7 · T · 4
48 unseen cards.
Bucket counts: 14 / 19 / 8 / 7
Distance mean 1.17 · SD 1.01
The pocket map uses your first two dealt cards. In an Omaha hand these are an explicit pair of anchors inside the four-card pocket; the hand evaluator still explores all legal two-card choices. In a stud hand they are the first two private cards. The moving map uses the latest two community cards or your latest two exposed stud cards once they are available.
The map’s circular ranks run from 2=0 to A=12. The reference expressions use the two anchors, their sum modulo thirteen, and their absolute difference. Near means distance zero or one. Seven or more near ranks gives LIKELY; six or fewer gives UNLIKELY. Both labels receive balanced examples in each newly trained model.
Known-card counts include your own cards and every publicly exposed card, including cards shown by a folded stud opponent. That keeps the remaining physical-card counts connected to what you can actually observe. The game-specific hand ranking and the map each describe their own part of the hand.
Discoveries
Let the game’s special character guide your attention.
Four private cards contain six different two-card pairs. Lay those pairs out mentally before choosing a favorite. A suited pair can carry one possibility, while a connected pair carries another. Their relationships become especially interesting when the same board supports several combinations at once. The first useful skill is seeing that menu clearly.
A draw becomes easier to read when you name both its private pair and the three board cards it hopes to use. Start with a concrete construction: these two cards, these three places on the board. Then explore nearby turn and river cards. This habit turns a visually crowded four-card hand into several manageable five-card plans.
The Pot button is a calculation you can inspect. If a player bets 100 into a pot of 100, the pot becomes 200. The next player can call 100, making 300, and add a raise of 300. Their total street contribution can therefore reach 400. The interface handles that arithmetic while you decide which possibility deserves the chips.
A strong current hand may also have ways to improve. Picture a made straight with an additional suit connection, or a set with a board-pairing route to a full house. Your coach’s showdown share combines possible endings under its stated sampling model. The interesting question is which visible features help the hand stay strong across those endings.
Worked hands
Follow the cards, then discover the estimate.
The flop is ahead.
| Street | Opponents | Pot | Call | Made hand |
|---|---|---|---|---|
| preflop | 1 | 30 | 10 | High card |
| A view of the spot | Value |
|---|---|
| Moving rank zone | LIKELY · 9/13 |
| WSRF pot share | 49.4% |
| Monte Carlo share | 47.2% |
| 95% sampling interval | 45.7% – 48.8% |
| Whole-pot frequency | 46.4% |
| Sample count | 4,096 |
| Action | Policy score |
|---|---|
| Call 10 | 0.014 |
| Fold | 0.000 |
| Raise to 40 | -0.236 |
| Raise to 60 | -0.256 |
This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.
Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.
Study fixture plo-1 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.
Worked hands
Follow the cards, then discover the estimate.
| Street | Opponents | Pot | Call | Made hand |
|---|---|---|---|---|
| flop | 5 | 140 | 20 | High card |
| A view of the spot | Value |
|---|---|
| Moving rank zone | LIKELY · 9/13 |
| WSRF pot share | 16.7% |
| Monte Carlo share | 5.3% |
| 95% sampling interval | 4.6% – 6.0% |
| Whole-pot frequency | 5.1% |
| Sample count | 4,096 |
| Action | Policy score |
|---|---|
| Call 20 | 0.017 |
| Fold | 0.000 |
| Raise to 40 | -0.462 |
| Raise to 100 | -0.497 |
| Raise to 180 | -0.517 |
This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.
Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.
Study fixture plo-2 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.
Worked hands
Follow the cards, then discover the estimate.
| Street | Opponents | Pot | Call | Made hand |
|---|---|---|---|---|
| turn | 1 | 40 | 0 | Three of a kind |
| A view of the spot | Value |
|---|---|
| Moving rank zone | LIKELY · 11/13 |
| WSRF pot share | 64.3% |
| Monte Carlo share | 86.5% |
| 95% sampling interval | 85.4% – 87.5% |
| Whole-pot frequency | 86.1% |
| Sample count | 4,096 |
| Action | Policy score |
|---|---|
| Check | 0.005 |
| Bet 20 | -0.019 |
| Bet 40 | -0.039 |
This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.
Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.
Study fixture plo-3 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.
Worked hands
Follow the cards, then discover the estimate.
| Street | Opponents | Pot | Call | Made hand |
|---|---|---|---|---|
| river | 5 | 140 | 20 | Two pair |
| A view of the spot | Value |
|---|---|
| Moving rank zone | LIKELY · 9/13 |
| WSRF pot share | 9.1% |
| Monte Carlo share | 1.2% |
| 95% sampling interval | 0.9% – 1.6% |
| Whole-pot frequency | 1.2% |
| Sample count | 4,096 |
| Action | Policy score |
|---|---|
| Fold | 0.000 |
| Call 20 | -0.059 |
| Raise to 40 | -0.560 |
| Raise to 100 | -0.604 |
| Raise to 180 | -0.624 |
This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.
Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.
Study fixture plo-4 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.
Worked hands
Follow the cards, then discover the estimate.
The flop is ahead.
| Street | Opponents | Pot | Call | Made hand |
|---|---|---|---|---|
| preflop | 1 | 30 | 10 | High card |
| A view of the spot | Value |
|---|---|
| Moving rank zone | LIKELY · 8/13 |
| WSRF pot share | 43.7% |
| Monte Carlo share | 43.9% |
| 95% sampling interval | 42.4% – 45.4% |
| Whole-pot frequency | 42.9% |
| Sample count | 4,096 |
| Action | Policy score |
|---|---|
| Fold | 0.000 |
| Call 10 | -0.043 |
| Raise to 40 | -0.316 |
| Raise to 60 | -0.336 |
This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.
Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.
Study fixture plo-5 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.
Worked hands
Follow the cards, then discover the estimate.
| Street | Opponents | Pot | Call | Made hand |
|---|---|---|---|---|
| flop | 5 | 140 | 20 | One pair |
| A view of the spot | Value |
|---|---|
| Moving rank zone | LIKELY · 8/13 |
| WSRF pot share | 13.5% |
| Monte Carlo share | 11.6% |
| 95% sampling interval | 10.6% – 12.5% |
| Whole-pot frequency | 10.4% |
| Sample count | 4,096 |
| Action | Policy score |
|---|---|
| Fold | 0.000 |
| Call 20 | -0.015 |
| Raise to 40 | -0.506 |
| Raise to 100 | -0.542 |
| Raise to 180 | -0.562 |
This independently generated teaching hand preserves your own cards and every exposed card, then samples the remaining cards uniformly. Fractional ties and split pots contribute the share actually earned. The interval describes sampling uncertainty under that model; the forest’s estimate is a separate learned prediction.
Compare the action scores with the call price and the active field. They express the explicit betting policy’s use of the learned share, rather than a fitted chip-return forecast. Opening a tree lets you follow the card features that helped produce the share estimate.
Study fixture plo-6 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.
Practice
Affirmative questions, with the reason beside each answer.
Training
Actual pytoolzx / WSRF fitting, with the measured results beside it.
| Game | Selected fit | Positions | Training showdowns | Test MAE |
|---|---|---|---|---|
| PLO | full | 6,144 | 786,432 | 6.12 pp |
Each game receives 6,144 training positions, with 128 independently sampled showdowns at every position. Six equally represented pools combine opening, middle, and closing play with LIKELY and UNLIKELY moving-map labels. Private and public suit counts, exposed-board strength, and rank geometry give the forest a richer view. The fitted object is pytoolzx.wsrf.WSRFRegressor, and pytoolzx.indexrng.Index supplies independently named seed streams.
Compact and full forests are compared on 768 validation positions. The smaller validation error chooses the serving forest before a fresh 1,536-position test is evaluated. Validation labels use 384 samples; test labels use 512. MAE is the average absolute difference in estimated pot share, expressed here in percentage points.
| Game / seats / practice style | Hands | BB / 100 | Approx. 95% interval |
|---|---|---|---|
| PLO / 2 / calling | 512 | 30.1 | 20.9 to 39.3 |
| PLO / 2 / random | 512 | 73.0 | -19.5 to 165.6 |
| PLO / 2 / selective | 512 | 35.1 | 20.2 to 49.9 |
| PLO / 6 / calling | 1,536 | 63.3 | 51.3 to 75.4 |
| PLO / 6 / random | 1,536 | -24.8 | -69.7 to 20.2 |
| PLO / 6 / selective | 1,536 | 52.8 | -6.4 to 112.1 |
The complete-hand benchmark rotates the trained policy through every seat of each fresh deck. Its intervals use deck averages to respect the relationship between seat rotations. These named local practice styles define the scope of the measurements. The full receipt preserves every game, table size, and opponent row.
Practice
A practice path you can enjoy returning to.
Choose Gentle company and a relaxed pace. Leave automatic next hands enabled if you enjoy a continuous session, or choose each new hand yourself. The panel controls hold your exact place whenever you open an explanation.
Choose a question you can inspect: can this card complete the construction, can this price be expressed as a pot share, or can the tree show which input it used? The worked answer becomes useful when you can point to its reason on the table.
A peek makes the opposing cards visible for your exercise. The model continues to use its own cards and public observations, so its estimate stays comparable before and after your peek. The notebook marks that hand as practice and preserves the result.
The WSRF partner option lets the trained adviser play your seat using the explicit betting policy. Pause on a street that interests you and open the tree. Watch mode is a way to explore the model’s choices; your own chair is ready whenever you switch back.
Download a notebook from Options. It includes the deal and action sequence needed for exact replay, along with stacks, funding, completed hands, and HUD totals. Restore it in the same game and table size. A saved story can make the next visit feel like a continuation.
Reference
Useful terms and a path to the underlying work.
| Term | Meaning at these tables |
|---|---|
| Pot share | The fraction of a contested pot earned, including splits |
| Scoop | The whole contested pot comes to one player |
| Bring-in | The opening stud contribution selected by the door-card rule |
| Completion | Bringing an opening stud contribution to the full small bet |
| Exposed cards | Cards visible to everyone, retained as known cards |
| WSRF pool | One of six opening/middle/closing × LIKELY/UNLIKELY groups |
| Policy score | The explicit action comparison built around the learned equity |
| Notebook | Your local saved deal, actions, stacks, and history |
VPIP counts voluntary entries on the opening street; OR counts opening raises or completions. AF divides bets plus raises by calls. WTSD counts showdowns among hands reaching the first draw street. WSD counts showdowns winning any contested pot, including ties. Read each percentage together with its completed-hand sample count.
Explore the background for this variant in Wikipedia’s pot-limit omaha overview. The room’s specific stakes, cap, reopening, and odd-chip conventions are declared on page 3. The examples, exercises, UI, and training experiment in this guide are original to Lantern Poker.
Explore the worked-hand receipt, complete-hand match table, and training and reproduction notes. Return to the Omaha Orchard table whenever you are ready.