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NOTABLE SHOE #05 · 9-TIE CLUSTER OUTLIER

9-Tie Cluster Shoe: How Multiple Ties Record on the Big Road Without Adding Derived Marks

9 Total Ties Including a Triple-Tie Cluster on One Bead: across 75 verified 8-deck hands (39 Banker, 27 Player, 9 Tie), this shoe forms 33 Big Road columns spanning 33 display columns, generating 62 Big Eye Boy marks (31R/31B), 61 Small Road marks (19R/42B), and 60 Cockroach Pig marks (28R/32B).

Total Verified Hands
75
Outcome Distribution
39B / 27P / 9T
Longest Streaks
4B · 3P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 75 Hands

Read the Board at Table Speed

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Big Road B B P B P 3 P B B B B P P P P P B B B P B P P B B B B P B P 2 P P B B P B B B B P P B P P P B B B P B P P B B B B P B P B B
Big Eye Boy ≠ = ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = = = ≠ ≠ = = ≠ ≠ = = ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ = ≠ ≠ = = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠
Cockroach Pig = = = ≠ = = ≠ ≠ ≠ ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ = = = = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠

SHOE-1A-05: 75 hands (39B / 27P / 9T) — 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)
Big Eye Boy Post-Tie Continuation

Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Unchanged Depth Proof

This bead is at Row 3. Column 2 stopped at Row 1, more than one row above → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 1, more than one row above → 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 Tie-Invariance Check

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

SHOE-1A-05 Hand & Outcome Breakdown
75 Hands (39 Banker / 27 Player / 9 Tie)

Deterministic seed 104105 — 59.09% Banker share of decided hands.

SHOE-1A-05 Peak Streak & Column Span
Max 4B / Max 3P Across 33 Logical Columns (33 Display Cols)

Phenomenon: 9 Total Ties Including a Triple-Tie Cluster on One Bead.

SHOE-1A-05 Big Eye Boy Split (Lookback 1)
62 Marks: 31 Red (=) / 31 Blue (≠) Across 35 Display Cols

Featured mark: Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

SHOE-1A-05 Small Road & Cockroach Pig Split
SR: 19R/42B (61) · CP: 28R/32B (60)

Verified by calculateAllRoads() on SHOE-1A-05.

SHOE-1A-05 Hand #76 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

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

SHOE-1A-05 PHENOMENON ANALYSIS

How 9 Total Ties Including a Triple-Tie Cluster on One Bead Develops on the Scoreboard

In a standard 8-deck shoe, Ties occur on 9.52% of hands (roughly 7 Ties per 73-hand shoe). This 75-hand shoe captures a 9-Tie cluster—highlighted by three consecutive Ties (`TTT`) after the sixth decided hand—demonstrating how casino scoreboards compress ties without advancing columns.

While the Bead Plate gives every Tie its own green 'T' circle in chronological order, the Big Road never allocates a new cell to a Tie. Instead, `getBigRoadColumns()` increments `tiesAfter` on the most recent Banker or Player bead, rendered as a mint-green diagonal slash with a numeric count when two or more Ties land back-to-back.

Opening 8 Big Road Columns of SHOE-1A-05 (9 Total Ties Including a Triple-Tie Cluster on One Bead)
Logical ColumnWinning SideColumn DepthAttached Ties6-Row Grid Placement
Col 1 (SHOE-1A-05)Banker (B)3 beads1 tie slashEnds at Row 3
Col 2 (SHOE-1A-05)Player (P)1 bead0 tiesEnds at Row 1
Col 3 (SHOE-1A-05)Banker (B)1 bead0 tiesEnds at Row 1
Col 4 (SHOE-1A-05)Player (P)3 beads3 tie slashesEnds at Row 3
Col 5 (SHOE-1A-05)Banker (B)4 beads0 tiesEnds at Row 4
Col 6 (SHOE-1A-05)Player (P)2 beads0 tiesEnds at Row 2
Col 7 (SHOE-1A-05)Banker (B)1 bead1 tie slashEnds at Row 1
Col 8 (SHOE-1A-05)Player (P)3 beads0 tiesEnds at Row 3
  • SHOE-1A-05 Verified Mark #1 (Big Eye Boy Post-Tie Continuation): Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).
  • SHOE-1A-05 Verified Mark #2 (Small Road Unchanged Depth Proof): This bead is at Row 3. Column 2 stopped at Row 1, more than one row above → red (=).
  • SHOE-1A-05 Verified Mark #3 (Cockroach Pig Tie-Invariance Check): This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).
DERIVED-ROAD & NEXT-HAND PROBE AUDIT (SHOE-1A-05)

Derived-Road Takeaways & Hand #76 Prediction Table for SHOE-1A-05

Because derived roads are pure functions of `BigRoadColumn` depths (`count` of B or P beads per column), a Tie never generates a Big Eye Boy, Small Road, or Cockroach Pig mark, and never alters the Next-Hand If Banker / If Player predictions.

If a hypothetical Hand #76 were dealt at the end of SHOE-1A-05, getNextRoadPredictions() shows that a Banker win would produce Big Eye Boy RED, Small Road RED, and Cockroach Pig RED, whereas a Player win would produce Big Eye Boy BLUE, Small Road BLUE, and Cockroach Pig BLUE. Remember that each hand in an 8-deck shoe is independent of prior outcomes.

Table Reality Check

Myth vs. Truth

MythTwo or three Ties in a row 'break the rhythm' of a streak and flip the next derived-road mark to Blue.
TruthTies attach to the previous bead on the Big Road without changing any column depth, so the derived-road lookback calculation is 100% unaffected by Ties.
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