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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC09 (SEED 204709)

High-Tie Cluster Shoe HTC09: 82-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC09 (seed 204709) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 82 dealt 8-deck hands (32 Banker, 38 Player, 12 Tie). Its 31 logical Big Road columns occupy 31 display columns (C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P) and generate 67 Big Eye Boy marks (23R/44B), 64 Small Road marks (25R/39B), and 63 Cockroach Pig marks (43R/20B).

Verified 8-Deck Hands
82 (HTC09)
Outcome Split
32B / 38P / 12T
Peak Streaks
4B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 82 Hands

Read the Board at Table Speed

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

HTC09 (seed 204709): 82 hands (32B / 38P / 12T), peak streaks 4B & 4P across 31 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)
HTC09 Big Eye Boy Entry #5

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 4 goes down to Row 2, so use Rule 2: look 1 column back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

HTC09 Small Road Entry #5

Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 4 beads. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

HTC09 Cockroach Pig Entry #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

HTC09 8-Deck Hand Distribution
82 Hands (32 Banker / 38 Player / 12 Tie)

Seed 204709 opening column signature: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P.

HTC09 Big Road Span & Max Streaks
Max 4B / Max 4P Across 31 Logical Cols (31 Display Cols)

Ties never open a new Big Road cell or alter column depth; instead, getBigRoadColumns() attaches each Tie to the most recent decided bead via tiesAfter slashes.

HTC09 Big Eye Boy Rule Breakdown
67 Marks (23R / 44B · 34.3% Red across 39 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

HTC09 Small Road & Cockroach Pig Tally
SR: 25R/39B (39.1% Red) · CP: 43R/20B (68.3% Red)

Even when double or triple Ties land between decided hands, Big Eye Boy, Small Road, and Cockroach Pig evaluate only Banker and Player bead counts per column.

HTC09 Hand #83 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #82 of HTC09.

HTC09 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC09 Scoreboard Structure: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P

In catalog shoe HTC09 (seed 204709), 82 total hands resolve into 32 Banker wins, 38 Player wins, and 12 Ties across 31 logical columns (C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P). Ties never open a new Big Road cell or alter column depth; instead, getBigRoadColumns() attaches each Tie to the most recent decided bead via tiesAfter slashes.

Tracking HTC09 column by column shows peak runs of 4B and 4P spreading across 31 Big Road display columns: HTC09 records 29 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 38 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC09 (Seed 204709)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC09-C01 (H1–H2)2B (BB) [HTC09]2B/0P (+0T @HTC09-C1)HTC09 Row2 Stop (Col1)NextColVsHTC09-C1: 2v2
HTC09-C02 (H3–H7)3P (PPP) [HTC09]2B/3P (+2T @HTC09-C2)HTC09 Row3 Stop (Col2)NextColVsHTC09-C1: 3v2
HTC09-C03 (H8–H8)1B (B) [HTC09]3B/3P (+0T @HTC09-C3)HTC09 Row1 Stop (Col3)NextColVsHTC09-C2: 1v3
HTC09-C04 (H9–H13)4P (PPPP) [HTC09]3B/7P (+1T @HTC09-C4)HTC09 Row4 Stop (Col4)NextColVsHTC09-C3: 4v1
HTC09-C05 (H14–H15)2B (BB) [HTC09]5B/7P (+0T @HTC09-C5)HTC09 Row2 Stop (Col5)NextColVsHTC09-C4: 2v4
HTC09-C06 (H16–H20)3P (PPP) [HTC09]5B/10P (+2T @HTC09-C6)HTC09 Row3 Stop (Col6)NextColVsHTC09-C5: 3v2
HTC09-C07 (H21–H21)1B (B) [HTC09]6B/10P (+0T @HTC09-C7)HTC09 Row1 Stop (Col7)NextColVsHTC09-C6: 1v3
HTC09-C08 (H22–H24)2P (PP) [HTC09]6B/12P (+1T @HTC09-C8)HTC09 Row2 Stop (Col8)NextColVsHTC09-C7: 2v1
HTC09-C09 (H25–H28)4B (BBBB) [HTC09]10B/12P (+0T @HTC09-C9)HTC09 Row4 Stop (Col9)NextColVsHTC09-C8: 4v2
HTC09-C10 (H29–H32)2P (PP) [HTC09]10B/14P (+2T @HTC09-C10)HTC09 Row2 Stop (Col10)NextColVsHTC09-C9: 2v4
  • HTC09 BEB #5 (BLUE): verified at HTC09 lookback-1 index 4 (23R/44B total).
  • HTC09 SR #5 (BLUE): verified at HTC09 lookback-2 index 4 (25R/39B total).
  • HTC09 CP #1 (RED): verified at HTC09 lookback-3 index 0 (43R/20B total).
HTC09 DERIVED-ROAD & CUT-CARD PROBE

HTC09 Lookback Split (23R/44B BEB · 25R/39B SR · 43R/20B CP)

Even when double or triple Ties land between decided hands, Big Eye Boy, Small Road, and Cockroach Pig evaluate only Banker and Player bead counts per column. Across HTC09, Big Eye Boy prints 23 Red (34.3%) and 44 Blue marks, Small Road prints 25 Red (39.1%) and 39 Blue marks, and Cockroach Pig prints 43 Red (68.3%) and 20 Blue marks.

At the HTC09 cut card after Hand #82, probing Hand #83 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for HTC09.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC09 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC09 attach as green slashes without modifying any logical column count, leaving derived-road lookbacks completely unchanged.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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