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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC14 (SEED 204714)

High-Tie Cluster Shoe HTC14: 71-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC14 (seed 204714) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 71 dealt 8-deck hands (28 Banker, 32 Player, 11 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:1P · C2:2B · C3:3P · C4:1B · C5:4P · C6:2B · C7:3P · C8:1B) and generate 58 Big Eye Boy marks (18R/40B), 56 Small Road marks (25R/31B), and 53 Cockroach Pig marks (31R/22B).

Verified 8-Deck Hands
71 (HTC14)
Outcome Split
28B / 32P / 11T
Peak Streaks
4B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 71 Hands

Read the Board at Table Speed

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

HTC14 (seed 204714): 71 hands (28B / 32P / 11T), 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)
HTC14 Big Eye Boy Entry #4

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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.

HTC14 Small Road Entry #5

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

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

HTC14 Cockroach Pig Entry #2

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

HTC14 8-Deck Hand Distribution
71 Hands (28 Banker / 32 Player / 11 Tie)

Seed 204714 opening column signature: C1:1P · C2:2B · C3:3P · C4:1B · C5:4P · C6:2B · C7:3P · C8:1B.

HTC14 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.

HTC14 Big Eye Boy Rule Breakdown
58 Marks (18R / 40B · 31.0% Red across 35 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

HTC14 Small Road & Cockroach Pig Tally
SR: 25R/31B (44.6% Red) · CP: 31R/22B (58.5% 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.

HTC14 Hand #72 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #71 of HTC14.

HTC14 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC14 Scoreboard Structure: C1:1P · C2:2B · C3:3P · C4:1B · C5:4P · C6:2B · C7:3P · C8:1B

In catalog shoe HTC14 (seed 204714), 71 total hands resolve into 28 Banker wins, 32 Player wins, and 11 Ties across 27 logical columns (C1:1P · C2:2B · C3:3P · C4:1B · C5:4P · C6:2B · C7:3P · C8:1B). 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 HTC14 column by column shows peak runs of 4B and 4P spreading across 27 Big Road display columns: HTC14 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 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC14 (Seed 204714)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC14-C01 (H1–H1)1P (P) [HTC14]0B/1P (+0T @HTC14-C1)HTC14 Row1 Stop (Col1)NextColVsHTC14-C1: 1v1
HTC14-C02 (H2–H5)2B (BB) [HTC14]2B/1P (+2T @HTC14-C2)HTC14 Row2 Stop (Col2)NextColVsHTC14-C1: 2v1
HTC14-C03 (H6–H8)3P (PPP) [HTC14]2B/4P (+0T @HTC14-C3)HTC14 Row3 Stop (Col3)NextColVsHTC14-C2: 3v2
HTC14-C04 (H9–H9)1B (B) [HTC14]3B/4P (+0T @HTC14-C4)HTC14 Row1 Stop (Col4)NextColVsHTC14-C3: 1v3
HTC14-C05 (H10–H14)4P (PPPP) [HTC14]3B/8P (+1T @HTC14-C5)HTC14 Row4 Stop (Col5)NextColVsHTC14-C4: 4v1
HTC14-C06 (H15–H18)2B (BB) [HTC14]5B/8P (+2T @HTC14-C6)HTC14 Row2 Stop (Col6)NextColVsHTC14-C5: 2v4
HTC14-C07 (H19–H21)3P (PPP) [HTC14]5B/11P (+0T @HTC14-C7)HTC14 Row3 Stop (Col7)NextColVsHTC14-C6: 3v2
HTC14-C08 (H22–H22)1B (B) [HTC14]6B/11P (+0T @HTC14-C8)HTC14 Row1 Stop (Col8)NextColVsHTC14-C7: 1v3
HTC14-C09 (H23–H25)2P (PP) [HTC14]6B/13P (+1T @HTC14-C9)HTC14 Row2 Stop (Col9)NextColVsHTC14-C8: 2v1
HTC14-C10 (H26–H31)4B (BBBB) [HTC14]10B/13P (+2T @HTC14-C10)HTC14 Row4 Stop (Col10)NextColVsHTC14-C9: 4v2
  • HTC14 BEB #4 (BLUE): verified at HTC14 lookback-1 index 3 (18R/40B total).
  • HTC14 SR #5 (RED): verified at HTC14 lookback-2 index 4 (25R/31B total).
  • HTC14 CP #2 (RED): verified at HTC14 lookback-3 index 1 (31R/22B total).
HTC14 DERIVED-ROAD & CUT-CARD PROBE

HTC14 Lookback Split (18R/40B BEB · 25R/31B SR · 31R/22B 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 HTC14, Big Eye Boy prints 18 Red (31.0%) and 40 Blue marks, Small Road prints 25 Red (44.6%) and 31 Blue marks, and Cockroach Pig prints 31 Red (58.5%) and 22 Blue marks.

At the HTC14 cut card after Hand #71, probing Hand #72 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for HTC14.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC14 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC14 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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