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NOTABLE SHOE #09 · DOUBLET 2×2 SYMMETRY

Doublet 2×2 Symmetry Shoe: How `BBPPBBPP` Locks All Three Derived Roads Into Red (=)

Repeating 2-Bead Columns (`BBPPBBPPBBPP`) Across Lookbacks 1, 2 & 3: across 69 verified 8-deck hands (39 Banker, 30 Player, 0 Tie), this shoe forms 33 Big Road columns spanning 33 display columns, generating 66 Big Eye Boy marks (37R/29B), 64 Small Road marks (27R/37B), and 62 Cockroach Pig marks (32R/30B).

Total Verified Hands
69
Outcome Distribution
39B / 30P / 0T
Longest Streaks
4B · 3P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 69 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B P P B B P P B B P B B B P P P B B P B B B B P P B P P P B B B P B B P P B B B B P B P B B P P P B B P B B B B P P B P P P B B
Big Eye Boy = = = = = = ≠ ≠ = = = ≠ = = = = = = ≠ ≠ ≠ = = = = ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ = ≠ =
Small Road = = = = = = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠
Cockroach Pig = = = = = = ≠ = = = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = = = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = = = = ≠ =

SHOE-1A-09: 69 hands (39B / 30P / 0T) — max streaks 4B & 3P across 33 logical columns.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Rule 1 New Column on 2×2 Doublet

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Rule 2 Case 1 Row 2 Match on Doublet

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Doublet Confirmation

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

SHOE-1A-09 Hand & Outcome Breakdown
69 Hands (39 Banker / 30 Player / 0 Tie)

Deterministic seed 104109 — 56.52% Banker share of decided hands.

SHOE-1A-09 Peak Streak & Column Span
Max 4B / Max 3P Across 33 Logical Columns (33 Display Cols)

Phenomenon: Repeating 2-Bead Columns (`BBPPBBPPBBPP`) Across Lookbacks 1, 2 & 3.

SHOE-1A-09 Big Eye Boy Split (Lookback 1)
66 Marks: 37 Red (=) / 29 Blue (≠) Across 31 Display Cols

Featured mark: Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

SHOE-1A-09 Small Road & Cockroach Pig Split
SR: 27R/37B (64) · CP: 32R/30B (62)

Verified by calculateAllRoads() on SHOE-1A-09.

SHOE-1A-09 Hand #70 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed via getNextRoadPredictions() at the end of the shoe.

SHOE-1A-09 PHENOMENON ANALYSIS

How Repeating 2-Bead Columns (`BBPPBBPPBBPP`) Across Lookbacks 1, 2 & 3 Develops on the Scoreboard

A 'doublet' shoe (`BBPPBBPP...`) is the cleanest way to watch Rule 1 and Rule 2 Case 1 alternate in harmony. In this 69-hand shoe, the first six columns each contain exactly 2 beads (`BB`, `PP`, `BB`, `PP`, `BB`, `PP`).

Every odd-numbered hand in the doublet sequence starts a new Big Road column at Row 1: Rule 1 compares the just-finished 2-bead column with the 2-bead reference column and marks Red (=). Every even-numbered hand moves down to Row 2: Rule 2 Case 1 checks whether the reference column also has a bead at Row 2—and because it does, it also marks Red (=)!

Opening 8 Big Road Columns of SHOE-1A-09 (Repeating 2-Bead Columns (`BBPPBBPPBBPP`) Across Lookbacks 1, 2 & 3)
Logical ColumnWinning SideColumn DepthAttached Ties6-Row Grid Placement
Col 1 (SHOE-1A-09)Banker (B)2 beads0 tiesEnds at Row 2
Col 2 (SHOE-1A-09)Player (P)2 beads0 tiesEnds at Row 2
Col 3 (SHOE-1A-09)Banker (B)2 beads0 tiesEnds at Row 2
Col 4 (SHOE-1A-09)Player (P)2 beads0 tiesEnds at Row 2
Col 5 (SHOE-1A-09)Banker (B)2 beads0 tiesEnds at Row 2
Col 6 (SHOE-1A-09)Player (P)2 beads0 tiesEnds at Row 2
Col 7 (SHOE-1A-09)Banker (B)2 beads0 tiesEnds at Row 2
Col 8 (SHOE-1A-09)Player (P)1 bead0 tiesEnds at Row 1
  • SHOE-1A-09 Verified Mark #1 (Rule 1 New Column on 2×2 Doublet): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • SHOE-1A-09 Verified Mark #2 (Rule 2 Case 1 Row 2 Match on Doublet): This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
  • SHOE-1A-09 Verified Mark #3 (Cockroach Pig Doublet Confirmation): This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
DERIVED-ROAD & NEXT-HAND PROBE AUDIT (SHOE-1A-09)

Derived-Road Takeaways & Hand #70 Prediction Table for SHOE-1A-09

Watch what happens on Hand 15 when the seventh column extends to a third bead (`BBB`): at Row 3, the reference column (depth 2) stopped at Row 2—one row above—instantly triggering a Rule 2 Case 2 Blue (≠) break across all three derived roads.

If a hypothetical Hand #70 were dealt at the end of SHOE-1A-09, getNextRoadPredictions() shows that a Banker win would produce Big Eye Boy RED, Small Road RED, and Cockroach Pig BLUE, whereas a Player win would produce Big Eye Boy BLUE, Small Road BLUE, and Cockroach Pig RED. Remember that each hand in an 8-deck shoe is independent of prior outcomes.

Table Reality Check

Myth vs. Truth

MythIn a 2×2 doublet shoe, the second bead of each pair marks Blue because the column is about to end.
TruthThe scoreboard never knows a column is about to end; at Row 2, the reference column also has a bead at Row 2, so Rule 2 Case 1 marks Red (=).
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android