Hold’em HearthLANTERN MIXED TABLES

LANTERN MIXED TABLES

Hold’em Hearth

A familiar hand. A steadier rhythm.

Lars Rocha

♥

Sixteen pages of play, patterns,
worked hands, and discoveries.

A dedicated WSRF companion.
Your pace. Your possibilities.

Hold’em HearthDiscoveries

Discoveries

Your first invitation

Explore price, position, and repeated small decisions. A fixed betting rhythm gives each street its own moment.

Two private cards meet five community cards. Your best five-card high hand can use either, both, or neither private card. Bets use a fixed small increment on the first two streets and a larger increment on the final two.

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.

Hold’em HearthDiscoveries

Discoveries

A rhythm you can follow

The room keeps the chip arithmetic close to the action.

At this tableHow it works
Starting stack2,000 free play chips at each seat
SeatsHeads-up or six seats
Blinds / antesSmall blind 10; big blind 20
BettingSmall increment 20; large increment 40.
Street rhythm20 on preflop/flop; 40 on turn/river in limit play.
Limit capFour full bets per street, including the opening bet.
Short all-insA full increment reopens raising under this room’s house rule.
Split-chip orderThe 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.

A fixed amount makes the price easy to follow. Use the current street’s increment and the chips already in front of you when reading a raise-to amount.

Hold’em HearthDiscoveries

Discoveries

See the five-card construction

The cards make the idea concrete.

A♣A♦

The community board

A♥K♦7♣7♠2♦

Your two private cards and five community cards offer twenty-one five-card selections at the river. You can use both private cards, one, or the five board cards. The evaluator chooses your strongest available five-card high hand.

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.

Hold’em HearthDiscoveries

Discoveries

A little map of possibility

One away, two away, three away—and a clear reference frame.

23456789TJQKA♥DISTANCE MAP

LIKELY · 9/13 near ranks

Moving references: 6 · 5 · 9 · 3

50 unseen cards.
Bucket counts: 14 / 20 / 8 / 8

Distance mean 1.20 · SD 1.02

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.

Hold’em HearthDiscoveries

Discoveries

A few habits worth keeping

Let the game’s special character guide your attention.

Read the rhythm before the price

At this table the small bet is 20 and the big bet is 40. The first two streets use the small amount; the turn and river use the larger amount. That rhythm makes planning easier. A turn decision carries a different future cost from a flop decision, even when the visible pot looks similar.

Small choices still tell a story

Checking, calling, and raising can each express a useful plan. A raise might build a pot with a strong made hand, while a call can preserve several possible future decisions. Treat the fixed increment as a clear vocabulary. The useful discovery is how the board and the active field change the value of that vocabulary from one street to the next.

Position gives another observation

Acting later lets you see more of the current street before choosing. Pause the room and name the decisions already made: a check, a bet, a call, perhaps a raise. Then describe the price you face. Reading the sequence in ordinary words often makes a complicated-looking hand feel more manageable.

Let the river be its own decision

By the river, the visible board is complete. Compare the current call price with the eligible pot and your assumption about opposing hands. Your earlier contributions are part of the story already told. The remaining decision is about the chips and possibilities still available from this point.

Hold’em HearthWorked hands

Worked hands

Worked hand 1 · Limit Hold’em

Follow the cards, then discover the estimate.

YOUR CARDS
6♥5♠
COMMUNITY BOARD

The flop is ahead.

StreetOpponentsPotCallMade hand
preflop13010High card
A view of the spotValue
Moving rank zoneLIKELY · 9/13
WSRF pot share43.5%
Monte Carlo share39.6%
95% sampling interval38.2% – 41.1%
Whole-pot frequency36.8%
Sample count4,096
ActionPolicy score
Call 100.160
Fold0.000
Raise to 40-0.318

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 holdem-1 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Hold’em HearthWorked hands

Worked hands

Worked hand 2 · Limit Hold’em

Follow the cards, then discover the estimate.

YOUR CARDS
8♦A♦
COMMUNITY BOARD
8♣J♣4♠
StreetOpponentsPotCallMade hand
flop514020One pair
A view of the spotValue
Moving rank zoneLIKELY · 10/13
WSRF pot share24.6%
Monte Carlo share25.1%
95% sampling interval23.8% – 26.4%
Whole-pot frequency24.6%
Sample count4,096
ActionPolicy score
Call 200.096
Fold0.000
Raise to 40-0.352

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 holdem-2 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Hold’em HearthWorked hands

Worked hands

Worked hand 3 · Limit Hold’em

Follow the cards, then discover the estimate.

YOUR CARDS
T♠J♥
COMMUNITY BOARD
K♠8♣6♥2♦
StreetOpponentsPotCallMade hand
turn1400High card
A view of the spotValue
Moving rank zoneUNLIKELY · 6/13
WSRF pot share27.0%
Monte Carlo share29.5%
95% sampling interval28.1% – 30.9%
Whole-pot frequency29.0%
Sample count4,096
ActionPolicy score
Check0.005
Bet 40-0.562

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 holdem-3 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Hold’em HearthWorked hands

Worked hands

Worked hand 4 · Limit Hold’em

Follow the cards, then discover the estimate.

YOUR CARDS
9♥5♦
COMMUNITY BOARD
7♥4♣3♠6♦6♥
StreetOpponentsPotCallMade hand
river516040Straight
A view of the spotValue
Moving rank zoneLIKELY · 9/13
WSRF pot share57.8%
Monte Carlo share59.5%
95% sampling interval58.3% – 60.6%
Whole-pot frequency40.6%
Sample count4,096
ActionPolicy score
Call 400.353
Raise to 800.103
Fold0.000

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 holdem-4 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Hold’em HearthWorked hands

Worked hands

Worked hand 5 · Limit Hold’em

Follow the cards, then discover the estimate.

YOUR CARDS
8♦6♠
COMMUNITY BOARD

The flop is ahead.

StreetOpponentsPotCallMade hand
preflop13010High card
A view of the spotValue
Moving rank zoneLIKELY · 10/13
WSRF pot share44.5%
Monte Carlo share43.3%
95% sampling interval41.9% – 44.8%
Whole-pot frequency40.8%
Sample count4,096
ActionPolicy score
Call 100.170
Fold0.000
Raise to 40-0.304

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 holdem-5 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Hold’em HearthWorked hands

Worked hands

Worked hand 6 · Limit Hold’em

Follow the cards, then discover the estimate.

YOUR CARDS
Q♥9♦
COMMUNITY BOARD
T♦4♠A♣
StreetOpponentsPotCallMade hand
flop514020High card
A view of the spotValue
Moving rank zoneLIKELY · 8/13
WSRF pot share12.7%
Monte Carlo share7.5%
95% sampling interval6.7% – 8.3%
Whole-pot frequency6.8%
Sample count4,096
ActionPolicy score
Fold0.000
Call 20-0.023
Raise to 40-0.518

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 holdem-6 · 4,096 samples · Independent namespace mixed-guide-independent. Cards, seeds, and measurements are preserved in the study receipt.

Hold’em HearthPractice

Practice

Six discoveries to keep

Affirmative questions, with the reason beside each answer.

Hold’em HearthTraining

Training

Meet your new forest

Actual pytoolzx / WSRF fitting, with the measured results beside it.

GameSelected fitPositionsTraining showdownsTest MAE
Limit Hold’emcompact6,144786,4325.70 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 styleHandsBB / 100Approx. 95% interval
Limit Hold’em / 2 / calling51276.463.3 to 89.5
Limit Hold’em / 2 / random51246.120.1 to 72.1
Limit Hold’em / 2 / selective51255.834.5 to 77.1
Limit Hold’em / 6 / calling1,53666.046.8 to 85.3
Limit Hold’em / 6 / random1,53667.042.0 to 92.0
Limit Hold’em / 6 / selective1,53636.89.2 to 64.4

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.

Hold’em HearthPractice

Practice

Make the table your own

A practice path you can enjoy returning to.

Begin with a comfortable rhythm

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.

Give one hand a question

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.

Explore with a practice peek

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.

Let the forest take a turn

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.

Keep a story to return to

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.

Hold’em HearthReference

Reference

Your pocket reference

Useful terms and a path to the underlying work.

TermMeaning at these tables
Pot shareThe fraction of a contested pot earned, including splits
ScoopThe whole contested pot comes to one player
Bring-inThe opening stud contribution selected by the door-card rule
CompletionBringing an opening stud contribution to the full small bet
Exposed cardsCards visible to everyone, retained as known cards
WSRF poolOne of six opening/middle/closing × LIKELY/UNLIKELY groups
Policy scoreThe explicit action comparison built around the learned equity
NotebookYour 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 fixed-limit hold’em 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 Hold’em Hearth table whenever you are ready.