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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC03 (SEED 204703)

High-Tie Cluster Shoe HTC03: 70-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC03 (seed 204703) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 70 dealt 8-deck hands (25 Banker, 33 Player, 12 Tie). Its 25 logical Big Road columns occupy 25 display columns (C1:3B · C2:4P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P) and generate 54 Big Eye Boy marks (18R/36B), 50 Small Road marks (20R/30B), and 48 Cockroach Pig marks (31R/17B).

Verified 8-Deck Hands
70 (HTC03)
Outcome Split
25B / 33P / 12T
Peak Streaks
4B · 4P
Big Road Columns
25 Cols
Engine-Verified Scoreboard · 70 Hands

Read the Board at Table Speed

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

HTC03 (seed 204703): 70 hands (25B / 33P / 12T), peak streaks 4B & 4P across 25 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)
HTC03 Big Eye Boy Entry #5

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.

HTC03 Small Road Entry #4

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 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.

HTC03 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

HTC03 8-Deck Hand Distribution
70 Hands (25 Banker / 33 Player / 12 Tie)

Seed 204703 opening column signature: C1:3B · C2:4P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P.

HTC03 Big Road Span & Max Streaks
Max 4B / Max 4P Across 25 Logical Cols (25 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.

HTC03 Big Eye Boy Rule Breakdown
54 Marks (18R / 36B · 33.3% Red across 31 Display Cols)

Rule 1: 23 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

HTC03 Small Road & Cockroach Pig Tally
SR: 20R/30B (40.0% Red) · CP: 31R/17B (64.6% 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.

HTC03 Hand #71 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #70 of HTC03.

HTC03 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC03 Scoreboard Structure: C1:3B · C2:4P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P

In catalog shoe HTC03 (seed 204703), 70 total hands resolve into 25 Banker wins, 33 Player wins, and 12 Ties across 25 logical columns (C1:3B · C2:4P · 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 HTC03 column by column shows peak runs of 4B and 4P spreading across 25 Big Road display columns: HTC03 records 23 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 HTC03 (Seed 204703)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC03-C01 (H1–H5)3B (BBB) [HTC03]3B/0P (+2T @HTC03-C1)HTC03 Row3 Stop (Col1)NextColVsHTC03-C1: 3v3
HTC03-C02 (H6–H10)4P (PPPP) [HTC03]3B/4P (+1T @HTC03-C2)HTC03 Row4 Stop (Col2)NextColVsHTC03-C1: 4v3
HTC03-C03 (H11–H12)2B (BB) [HTC03]5B/4P (+0T @HTC03-C3)HTC03 Row2 Stop (Col3)NextColVsHTC03-C2: 2v4
HTC03-C04 (H13–H17)3P (PPP) [HTC03]5B/7P (+2T @HTC03-C4)HTC03 Row3 Stop (Col4)NextColVsHTC03-C3: 3v2
HTC03-C05 (H18–H18)1B (B) [HTC03]6B/7P (+0T @HTC03-C5)HTC03 Row1 Stop (Col5)NextColVsHTC03-C4: 1v3
HTC03-C06 (H19–H23)4P (PPPP) [HTC03]6B/11P (+1T @HTC03-C6)HTC03 Row4 Stop (Col6)NextColVsHTC03-C5: 4v1
HTC03-C07 (H24–H27)2B (BB) [HTC03]8B/11P (+2T @HTC03-C7)HTC03 Row2 Stop (Col7)NextColVsHTC03-C6: 2v4
HTC03-C08 (H28–H31)3P (PPP) [HTC03]8B/14P (+1T @HTC03-C8)HTC03 Row3 Stop (Col8)NextColVsHTC03-C7: 3v2
HTC03-C09 (H32–H32)1B (B) [HTC03]9B/14P (+0T @HTC03-C9)HTC03 Row1 Stop (Col9)NextColVsHTC03-C8: 1v3
HTC03-C10 (H33–H34)2P (PP) [HTC03]9B/16P (+0T @HTC03-C10)HTC03 Row2 Stop (Col10)NextColVsHTC03-C9: 2v1
  • HTC03 BEB #5 (RED): verified at HTC03 lookback-1 index 4 (18R/36B total).
  • HTC03 SR #4 (RED): verified at HTC03 lookback-2 index 3 (20R/30B total).
  • HTC03 CP #3 (RED): verified at HTC03 lookback-3 index 2 (31R/17B total).
HTC03 DERIVED-ROAD & CUT-CARD PROBE

HTC03 Lookback Split (18R/36B BEB · 20R/30B SR · 31R/17B 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 HTC03, Big Eye Boy prints 18 Red (33.3%) and 36 Blue marks, Small Road prints 20 Red (40.0%) and 30 Blue marks, and Cockroach Pig prints 31 Red (64.6%) and 17 Blue marks.

At the HTC03 cut card after Hand #70, probing Hand #71 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for HTC03.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC03 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC03 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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