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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC01 (SEED 204701)

High-Tie Cluster Shoe HTC01: 78-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC01 (seed 204701) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 78 dealt 8-deck hands (33 Banker, 35 Player, 10 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 65 Big Eye Boy marks (20R/45B), 62 Small Road marks (25R/37B), and 61 Cockroach Pig marks (38R/23B).

Verified 8-Deck Hands
78 (HTC01)
Outcome Split
33B / 35P / 10T
Peak Streaks
4B · 4P
Big Road Columns
31 Cols
Engine-Verified Scoreboard · 78 Hands

Read the Board at Table Speed

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

HTC01 (seed 204701): 78 hands (33B / 35P / 10T), 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)
HTC01 Big Eye Boy Entry #3

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

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

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

HTC01 Small Road Entry #2

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 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.

HTC01 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

HTC01 8-Deck Hand Distribution
78 Hands (33 Banker / 35 Player / 10 Tie)

Seed 204701 opening column signature: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P.

HTC01 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.

HTC01 Big Eye Boy Rule Breakdown
65 Marks (20R / 45B · 30.8% Red across 38 Display Cols)

Rule 1: 29 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

HTC01 Small Road & Cockroach Pig Tally
SR: 25R/37B (40.3% Red) · CP: 38R/23B (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.

HTC01 Hand #79 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #78 of HTC01.

HTC01 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC01 Scoreboard Structure: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P

In catalog shoe HTC01 (seed 204701), 78 total hands resolve into 33 Banker wins, 35 Player wins, and 10 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 HTC01 column by column shows peak runs of 4B and 4P spreading across 31 Big Road display columns: HTC01 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 36 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC01 (Seed 204701)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC01-C01 (H1–H2)2B (BB) [HTC01]2B/0P (+0T @HTC01-C1)HTC01 Row2 Stop (Col1)NextColVsHTC01-C1: 2v2
HTC01-C02 (H3–H5)3P (PPP) [HTC01]2B/3P (+0T @HTC01-C2)HTC01 Row3 Stop (Col2)NextColVsHTC01-C1: 3v2
HTC01-C03 (H6–H8)1B (B) [HTC01]3B/3P (+2T @HTC01-C3)HTC01 Row1 Stop (Col3)NextColVsHTC01-C2: 1v3
HTC01-C04 (H9–H12)4P (PPPP) [HTC01]3B/7P (+0T @HTC01-C4)HTC01 Row4 Stop (Col4)NextColVsHTC01-C3: 4v1
HTC01-C05 (H13–H15)2B (BB) [HTC01]5B/7P (+1T @HTC01-C5)HTC01 Row2 Stop (Col5)NextColVsHTC01-C4: 2v4
HTC01-C06 (H16–H18)3P (PPP) [HTC01]5B/10P (+0T @HTC01-C6)HTC01 Row3 Stop (Col6)NextColVsHTC01-C5: 3v2
HTC01-C07 (H19–H19)1B (B) [HTC01]6B/10P (+0T @HTC01-C7)HTC01 Row1 Stop (Col7)NextColVsHTC01-C6: 1v3
HTC01-C08 (H20–H23)2P (PP) [HTC01]6B/12P (+2T @HTC01-C8)HTC01 Row2 Stop (Col8)NextColVsHTC01-C7: 2v1
HTC01-C09 (H24–H27)4B (BBBB) [HTC01]10B/12P (+0T @HTC01-C9)HTC01 Row4 Stop (Col9)NextColVsHTC01-C8: 4v2
HTC01-C10 (H28–H30)2P (PP) [HTC01]10B/14P (+1T @HTC01-C10)HTC01 Row2 Stop (Col10)NextColVsHTC01-C9: 2v4
  • HTC01 BEB #3 (BLUE): verified at HTC01 lookback-1 index 2 (20R/45B total).
  • HTC01 SR #2 (RED): verified at HTC01 lookback-2 index 1 (25R/37B total).
  • HTC01 CP #1 (RED): verified at HTC01 lookback-3 index 0 (38R/23B total).
HTC01 DERIVED-ROAD & CUT-CARD PROBE

HTC01 Lookback Split (20R/45B BEB · 25R/37B SR · 38R/23B 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 HTC01, Big Eye Boy prints 20 Red (30.8%) and 45 Blue marks, Small Road prints 25 Red (40.3%) and 37 Blue marks, and Cockroach Pig prints 38 Red (62.3%) and 23 Blue marks.

At the HTC01 cut card after Hand #78, probing Hand #79 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for HTC01.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC01 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC01 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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