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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC11 (SEED 204711)

High-Tie Cluster Shoe HTC11: 74-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC11 (seed 204711) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 74 dealt 8-deck hands (28 Banker, 32 Player, 14 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:3B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P) and generate 56 Big Eye Boy marks (19R/37B), 55 Small Road marks (22R/33B), and 53 Cockroach Pig marks (33R/20B).

Verified 8-Deck Hands
74 (HTC11)
Outcome Split
28B / 32P / 14T
Peak Streaks
4B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 74 Hands

Read the Board at Table Speed

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

HTC11 (seed 204711): 74 hands (28B / 32P / 14T), peak streaks 4B & 4P across 27 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)
HTC11 Big Eye Boy Entry #7

Column 5 has 1 bead. Column 4 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

HTC11 Small Road Entry #2

Column 3 has 2 beads. Column 1 has 3 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

HTC11 Cockroach Pig Entry #3

Column 4 has 3 beads. Column 1 has 3 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

HTC11 8-Deck Hand Distribution
74 Hands (28 Banker / 32 Player / 14 Tie)

Seed 204711 opening column signature: C1:3B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P.

HTC11 Big Road Span & Max Streaks
Max 4B / Max 4P Across 27 Logical Cols (27 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.

HTC11 Big Eye Boy Rule Breakdown
56 Marks (19R / 37B · 33.9% Red across 33 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

HTC11 Small Road & Cockroach Pig Tally
SR: 22R/33B (40.0% Red) · CP: 33R/20B (62.3% 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.

HTC11 Hand #75 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #74 of HTC11.

HTC11 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC11 Scoreboard Structure: C1:3B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P

In catalog shoe HTC11 (seed 204711), 74 total hands resolve into 28 Banker wins, 32 Player wins, and 14 Ties across 27 logical columns (C1:3B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P). 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 HTC11 column by column shows peak runs of 4B and 4P spreading across 27 Big Road display columns: HTC11 records 25 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 31 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC11 (Seed 204711)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC11-C01 (H1–H5)3B (BBB) [HTC11]3B/0P (+2T @HTC11-C1)HTC11 Row3 Stop (Col1)NextColVsHTC11-C1: 3v3
HTC11-C02 (H6–H6)1P (P) [HTC11]3B/1P (+0T @HTC11-C2)HTC11 Row1 Stop (Col2)NextColVsHTC11-C1: 1v3
HTC11-C03 (H7–H9)2B (BB) [HTC11]5B/1P (+1T @HTC11-C3)HTC11 Row2 Stop (Col3)NextColVsHTC11-C2: 2v1
HTC11-C04 (H10–H12)3P (PPP) [HTC11]5B/4P (+0T @HTC11-C4)HTC11 Row3 Stop (Col4)NextColVsHTC11-C3: 3v2
HTC11-C05 (H13–H15)1B (B) [HTC11]6B/4P (+2T @HTC11-C5)HTC11 Row1 Stop (Col5)NextColVsHTC11-C4: 1v3
HTC11-C06 (H16–H20)4P (PPPP) [HTC11]6B/8P (+1T @HTC11-C6)HTC11 Row4 Stop (Col6)NextColVsHTC11-C5: 4v1
HTC11-C07 (H21–H22)2B (BB) [HTC11]8B/8P (+0T @HTC11-C7)HTC11 Row2 Stop (Col7)NextColVsHTC11-C6: 2v4
HTC11-C08 (H23–H27)3P (PPP) [HTC11]8B/11P (+2T @HTC11-C8)HTC11 Row3 Stop (Col8)NextColVsHTC11-C7: 3v2
HTC11-C09 (H28–H28)1B (B) [HTC11]9B/11P (+0T @HTC11-C9)HTC11 Row1 Stop (Col9)NextColVsHTC11-C8: 1v3
HTC11-C10 (H29–H31)2P (PP) [HTC11]9B/13P (+1T @HTC11-C10)HTC11 Row2 Stop (Col10)NextColVsHTC11-C9: 2v1
  • HTC11 BEB #7 (BLUE): verified at HTC11 lookback-1 index 6 (19R/37B total).
  • HTC11 SR #2 (BLUE): verified at HTC11 lookback-2 index 1 (22R/33B total).
  • HTC11 CP #3 (RED): verified at HTC11 lookback-3 index 2 (33R/20B total).
HTC11 DERIVED-ROAD & CUT-CARD PROBE

HTC11 Lookback Split (19R/37B BEB · 22R/33B SR · 33R/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 HTC11, Big Eye Boy prints 19 Red (33.9%) and 37 Blue marks, Small Road prints 22 Red (40.0%) and 33 Blue marks, and Cockroach Pig prints 33 Red (62.3%) and 20 Blue marks.

At the HTC11 cut card after Hand #74, probing Hand #75 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for HTC11.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC11 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC11 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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