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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC21 (SEED 204721)

High-Tie Cluster Shoe HTC21: 70-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC21 (seed 204721) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 70 dealt 8-deck hands (27 Banker, 31 Player, 12 Tie). Its 26 logical Big Road columns occupy 26 display columns (C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P) and generate 55 Big Eye Boy marks (18R/37B), 52 Small Road marks (21R/31B), and 51 Cockroach Pig marks (30R/21B).

Verified 8-Deck Hands
70 (HTC21)
Outcome Split
27B / 31P / 12T
Peak Streaks
4B · 4P
Big Road Columns
26 Cols
Engine-Verified Scoreboard · 70 Hands

Read the Board at Table Speed

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

HTC21 (seed 204721): 70 hands (27B / 31P / 12T), 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)
HTC21 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.

HTC21 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.

HTC21 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

HTC21 8-Deck Hand Distribution
70 Hands (27 Banker / 31 Player / 12 Tie)

Seed 204721 opening column signature: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P.

HTC21 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.

HTC21 Big Eye Boy Rule Breakdown
55 Marks (18R / 37B · 32.7% Red across 34 Display Cols)

Rule 1: 24 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

HTC21 Small Road & Cockroach Pig Tally
SR: 21R/31B (40.4% Red) · CP: 30R/21B (58.8% 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.

HTC21 Hand #71 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #70 of HTC21.

HTC21 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC21 Scoreboard Structure: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P

In catalog shoe HTC21 (seed 204721), 70 total hands resolve into 27 Banker wins, 31 Player wins, and 12 Ties across 26 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 HTC21 column by column shows peak runs of 4B and 4P spreading across 26 Big Road display columns: HTC21 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 31 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC21 (Seed 204721)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC21-C01 (H1–H2)2B (BB) [HTC21]2B/0P (+0T @HTC21-C1)HTC21 Row2 Stop (Col1)NextColVsHTC21-C1: 2v2
HTC21-C02 (H3–H7)3P (PPP) [HTC21]2B/3P (+2T @HTC21-C2)HTC21 Row3 Stop (Col2)NextColVsHTC21-C1: 3v2
HTC21-C03 (H8–H8)1B (B) [HTC21]3B/3P (+0T @HTC21-C3)HTC21 Row1 Stop (Col3)NextColVsHTC21-C2: 1v3
HTC21-C04 (H9–H13)4P (PPPP) [HTC21]3B/7P (+1T @HTC21-C4)HTC21 Row4 Stop (Col4)NextColVsHTC21-C3: 4v1
HTC21-C05 (H14–H17)2B (BB) [HTC21]5B/7P (+2T @HTC21-C5)HTC21 Row2 Stop (Col5)NextColVsHTC21-C4: 2v4
HTC21-C06 (H18–H20)3P (PPP) [HTC21]5B/10P (+0T @HTC21-C6)HTC21 Row3 Stop (Col6)NextColVsHTC21-C5: 3v2
HTC21-C07 (H21–H22)1B (B) [HTC21]6B/10P (+1T @HTC21-C7)HTC21 Row1 Stop (Col7)NextColVsHTC21-C6: 1v3
HTC21-C08 (H23–H24)2P (PP) [HTC21]6B/12P (+0T @HTC21-C8)HTC21 Row2 Stop (Col8)NextColVsHTC21-C7: 2v1
HTC21-C09 (H25–H30)4B (BBBB) [HTC21]10B/12P (+2T @HTC21-C9)HTC21 Row4 Stop (Col9)NextColVsHTC21-C8: 4v2
HTC21-C10 (H31–H33)2P (PP) [HTC21]10B/14P (+1T @HTC21-C10)HTC21 Row2 Stop (Col10)NextColVsHTC21-C9: 2v4
  • HTC21 BEB #5 (BLUE): verified at HTC21 lookback-1 index 4 (18R/37B total).
  • HTC21 SR #2 (RED): verified at HTC21 lookback-2 index 1 (21R/31B total).
  • HTC21 CP #1 (RED): verified at HTC21 lookback-3 index 0 (30R/21B total).
HTC21 DERIVED-ROAD & CUT-CARD PROBE

HTC21 Lookback Split (18R/37B BEB · 21R/31B SR · 30R/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 HTC21, Big Eye Boy prints 18 Red (32.7%) and 37 Blue marks, Small Road prints 21 Red (40.4%) and 31 Blue marks, and Cockroach Pig prints 30 Red (58.8%) and 21 Blue marks.

At the HTC21 cut card after Hand #70, probing Hand #71 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for HTC21.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC21 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC21 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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