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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC12 (SEED 204712)

High-Tie Cluster Shoe HTC12: 79-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC12 (seed 204712) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 79 dealt 8-deck hands (30 Banker, 34 Player, 15 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:2P · C2:2B · C3:2P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B) and generate 61 Big Eye Boy marks (26R/35B), 59 Small Road marks (26R/33B), and 57 Cockroach Pig marks (36R/21B).

Verified 8-Deck Hands
79 (HTC12)
Outcome Split
30B / 34P / 15T
Peak Streaks
4B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 79 Hands

Read the Board at Table Speed

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

HTC12 (seed 204712): 79 hands (30B / 34P / 15T), peak streaks 4B & 4P across 28 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)
HTC12 Big Eye Boy Entry #8

This bead is at Row 3. Column 4 stopped at Row 2, one row above → blue (≠).

  1. Column 5 goes down to Row 3, so use Rule 2: look 1 column back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

HTC12 Small Road Entry #3

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.

HTC12 Cockroach Pig Entry #4

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

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

Verified Reference Data

Key Facts & Table Specifications

HTC12 8-Deck Hand Distribution
79 Hands (30 Banker / 34 Player / 15 Tie)

Seed 204712 opening column signature: C1:2P · C2:2B · C3:2P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B.

HTC12 Big Road Span & Max Streaks
Max 4B / Max 4P Across 28 Logical Cols (28 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.

HTC12 Big Eye Boy Rule Breakdown
61 Marks (26R / 35B · 42.6% Red across 34 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

HTC12 Small Road & Cockroach Pig Tally
SR: 26R/33B (44.1% Red) · CP: 36R/21B (63.2% 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.

HTC12 Hand #80 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #79 of HTC12.

HTC12 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC12 Scoreboard Structure: C1:2P · C2:2B · C3:2P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B

In catalog shoe HTC12 (seed 204712), 79 total hands resolve into 30 Banker wins, 34 Player wins, and 15 Ties across 28 logical columns (C1:2P · C2:2B · C3:2P · 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 HTC12 column by column shows peak runs of 4B and 4P spreading across 28 Big Road display columns: HTC12 records 26 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC12 (Seed 204712)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC12-C01 (H1–H2)2P (PP) [HTC12]0B/2P (+0T @HTC12-C1)HTC12 Row2 Stop (Col1)NextColVsHTC12-C1: 2v2
HTC12-C02 (H3–H6)2B (BB) [HTC12]2B/2P (+2T @HTC12-C2)HTC12 Row2 Stop (Col2)NextColVsHTC12-C1: 2v2
HTC12-C03 (H7–H8)2P (PP) [HTC12]2B/4P (+0T @HTC12-C3)HTC12 Row2 Stop (Col3)NextColVsHTC12-C2: 2v2
HTC12-C04 (H9–H11)2B (BB) [HTC12]4B/4P (+1T @HTC12-C4)HTC12 Row2 Stop (Col4)NextColVsHTC12-C3: 2v2
HTC12-C05 (H12–H16)3P (PPP) [HTC12]4B/7P (+2T @HTC12-C5)HTC12 Row3 Stop (Col5)NextColVsHTC12-C4: 3v2
HTC12-C06 (H17–H17)1B (B) [HTC12]5B/7P (+0T @HTC12-C6)HTC12 Row1 Stop (Col6)NextColVsHTC12-C5: 1v3
HTC12-C07 (H18–H22)4P (PPPP) [HTC12]5B/11P (+1T @HTC12-C7)HTC12 Row4 Stop (Col7)NextColVsHTC12-C6: 4v1
HTC12-C08 (H23–H24)2B (BB) [HTC12]7B/11P (+0T @HTC12-C8)HTC12 Row2 Stop (Col8)NextColVsHTC12-C7: 2v4
HTC12-C09 (H25–H29)3P (PPP) [HTC12]7B/14P (+2T @HTC12-C9)HTC12 Row3 Stop (Col9)NextColVsHTC12-C8: 3v2
HTC12-C10 (H30–H30)1B (B) [HTC12]8B/14P (+0T @HTC12-C10)HTC12 Row1 Stop (Col10)NextColVsHTC12-C9: 1v3
  • HTC12 BEB #8 (BLUE): verified at HTC12 lookback-1 index 7 (26R/35B total).
  • HTC12 SR #3 (RED): verified at HTC12 lookback-2 index 2 (26R/33B total).
  • HTC12 CP #4 (BLUE): verified at HTC12 lookback-3 index 3 (36R/21B total).
HTC12 DERIVED-ROAD & CUT-CARD PROBE

HTC12 Lookback Split (26R/35B BEB · 26R/33B SR · 36R/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 HTC12, Big Eye Boy prints 26 Red (42.6%) and 35 Blue marks, Small Road prints 26 Red (44.1%) and 33 Blue marks, and Cockroach Pig prints 36 Red (63.2%) and 21 Blue marks.

At the HTC12 cut card after Hand #79, probing Hand #80 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for HTC12.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC12 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC12 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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