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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC32 (SEED 204732)

High-Tie Cluster Shoe HTC32: 71-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC32 (seed 204732) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 71 dealt 8-deck hands (26 Banker, 34 Player, 11 Tie). Its 26 logical Big Road columns occupy 26 display columns (C1:3P · C2:3B · C3:4P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B) and generate 56 Big Eye Boy marks (21R/35B), 53 Small Road marks (23R/30B), and 49 Cockroach Pig marks (28R/21B).

Verified 8-Deck Hands
71 (HTC32)
Outcome Split
26B / 34P / 11T
Peak Streaks
4B · 4P
Big Road Columns
26 Cols
Engine-Verified Scoreboard · 71 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road 2 P P B B P P P P 2 B P P P P P P P 2 B P P P P P B B 2 B P P B P P B B B P B B P P P P B P P P B B P B B B P P B
Big Eye Boy = = = = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠
Small Road = = ≠ ≠ = ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ = = ≠ = = ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠
Cockroach Pig = ≠ = = = ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = = = = = ≠ ≠ = = ≠ ≠ = ≠ = = = = = =

HTC32 (seed 204732): 71 hands (26B / 34P / 11T), peak streaks 4B & 4P across 26 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)
HTC32 Big Eye Boy Entry #4

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.

HTC32 Small Road Entry #3

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

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

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.

HTC32 Cockroach Pig Entry #4

This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=).

  1. Column 5 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 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 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

HTC32 8-Deck Hand Distribution
71 Hands (26 Banker / 34 Player / 11 Tie)

Seed 204732 opening column signature: C1:3P · C2:3B · C3:4P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B.

HTC32 Big Road Span & Max Streaks
Max 4B / Max 4P Across 26 Logical Cols (26 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.

HTC32 Big Eye Boy Rule Breakdown
56 Marks (21R / 35B · 37.5% Red across 32 Display Cols)

Rule 1: 24 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

HTC32 Small Road & Cockroach Pig Tally
SR: 23R/30B (43.4% Red) · CP: 28R/21B (57.1% 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.

HTC32 Hand #72 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #71 of HTC32.

HTC32 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC32 Scoreboard Structure: C1:3P · C2:3B · C3:4P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B

In catalog shoe HTC32 (seed 204732), 71 total hands resolve into 26 Banker wins, 34 Player wins, and 11 Ties across 26 logical columns (C1:3P · C2:3B · C3:4P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B). 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 HTC32 column by column shows peak runs of 4B and 4P spreading across 26 Big Road display columns: HTC32 records 24 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 32 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC32 (Seed 204732)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC32-C01 (H1–H5)3P (PPP) [HTC32]0B/3P (+2T @HTC32-C1)HTC32 Row3 Stop (Col1)NextColVsHTC32-C1: 3v3
HTC32-C02 (H6–H9)3B (BBB) [HTC32]3B/3P (+1T @HTC32-C2)HTC32 Row3 Stop (Col2)NextColVsHTC32-C1: 3v3
HTC32-C03 (H10–H13)4P (PPPP) [HTC32]3B/7P (+0T @HTC32-C3)HTC32 Row4 Stop (Col3)NextColVsHTC32-C2: 4v3
HTC32-C04 (H14–H17)2B (BB) [HTC32]5B/7P (+2T @HTC32-C4)HTC32 Row2 Stop (Col4)NextColVsHTC32-C3: 2v4
HTC32-C05 (H18–H20)3P (PPP) [HTC32]5B/10P (+0T @HTC32-C5)HTC32 Row3 Stop (Col5)NextColVsHTC32-C4: 3v2
HTC32-C06 (H21–H22)1B (B) [HTC32]6B/10P (+1T @HTC32-C6)HTC32 Row1 Stop (Col6)NextColVsHTC32-C5: 1v3
HTC32-C07 (H23–H26)4P (PPPP) [HTC32]6B/14P (+0T @HTC32-C7)HTC32 Row4 Stop (Col7)NextColVsHTC32-C6: 4v1
HTC32-C08 (H27–H30)2B (BB) [HTC32]8B/14P (+2T @HTC32-C8)HTC32 Row2 Stop (Col8)NextColVsHTC32-C7: 2v4
HTC32-C09 (H31–H33)3P (PPP) [HTC32]8B/17P (+0T @HTC32-C9)HTC32 Row3 Stop (Col9)NextColVsHTC32-C8: 3v2
HTC32-C10 (H34–H35)1B (B) [HTC32]9B/17P (+1T @HTC32-C10)HTC32 Row1 Stop (Col10)NextColVsHTC32-C9: 1v3
  • HTC32 BEB #4 (RED): verified at HTC32 lookback-1 index 3 (21R/35B total).
  • HTC32 SR #3 (BLUE): verified at HTC32 lookback-2 index 2 (23R/30B total).
  • HTC32 CP #4 (RED): verified at HTC32 lookback-3 index 3 (28R/21B total).
HTC32 DERIVED-ROAD & CUT-CARD PROBE

HTC32 Lookback Split (21R/35B BEB · 23R/30B SR · 28R/21B 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 HTC32, Big Eye Boy prints 21 Red (37.5%) and 35 Blue marks, Small Road prints 23 Red (43.4%) and 30 Blue marks, and Cockroach Pig prints 28 Red (57.1%) and 21 Blue marks.

At the HTC32 cut card after Hand #71, probing Hand #72 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for HTC32.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC32 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC32 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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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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