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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC39 (SEED 204739)

High-Tie Cluster Shoe HTC39: 70-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC39 (seed 204739) 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 (C1:1B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P) and generate 56 Big Eye Boy marks (19R/37B), 55 Small Road marks (23R/32B), and 53 Cockroach Pig marks (31R/22B).

Verified 8-Deck Hands
70 (HTC39)
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 2 B B P P B P 2 P P B P P P 2 P P B B B P 2 B B B P B B B P P B P P P B B P P P P B P P B B B P B B P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠
Small Road ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ = = = = = = ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = ≠ = = ≠ = ≠ = ≠ ≠ = ≠ ≠ = = = = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ = ≠ = = = = = = ≠ = = ≠ ≠ = = = = ≠ = = = = =

HTC39 (seed 204739): 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)
HTC39 Big Eye Boy Entry #5

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

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

HTC39 Small Road Entry #5

Column 4 has 3 beads. Column 2 has 1 bead. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 3 beads. Column 2 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

HTC39 Cockroach Pig Entry #3

Column 4 has 3 beads. Column 1 has 1 bead. Different depth → blue (≠).

  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 1 bead. Different depth → blue (≠).

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

HTC39 8-Deck Hand Distribution
70 Hands (27 Banker / 31 Player / 12 Tie)

Seed 204739 opening column signature: C1:1B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P.

HTC39 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.

HTC39 Big Eye Boy Rule Breakdown
56 Marks (19R / 37B · 33.9% Red across 36 Display Cols)

Rule 1: 24 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

HTC39 Small Road & Cockroach Pig Tally
SR: 23R/32B (41.8% 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.

HTC39 Hand #71 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #70 of HTC39.

HTC39 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC39 Scoreboard Structure: C1:1B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P

In catalog shoe HTC39 (seed 204739), 70 total hands resolve into 27 Banker wins, 31 Player wins, and 12 Ties across 26 logical columns (C1:1B · C2:1P · 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 HTC39 column by column shows peak runs of 4B and 4P spreading across 26 Big Road display columns: HTC39 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 32 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC39 (Seed 204739)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC39-C01 (H1–H1)1B (B) [HTC39]1B/0P (+0T @HTC39-C1)HTC39 Row1 Stop (Col1)NextColVsHTC39-C1: 1v1
HTC39-C02 (H2–H4)1P (P) [HTC39]1B/1P (+2T @HTC39-C2)HTC39 Row1 Stop (Col2)NextColVsHTC39-C1: 1v1
HTC39-C03 (H5–H6)2B (BB) [HTC39]3B/1P (+0T @HTC39-C3)HTC39 Row2 Stop (Col3)NextColVsHTC39-C2: 2v1
HTC39-C04 (H7–H10)3P (PPP) [HTC39]3B/4P (+1T @HTC39-C4)HTC39 Row3 Stop (Col4)NextColVsHTC39-C3: 3v2
HTC39-C05 (H11–H11)1B (B) [HTC39]4B/4P (+0T @HTC39-C5)HTC39 Row1 Stop (Col5)NextColVsHTC39-C4: 1v3
HTC39-C06 (H12–H17)4P (PPPP) [HTC39]4B/8P (+2T @HTC39-C6)HTC39 Row4 Stop (Col6)NextColVsHTC39-C5: 4v1
HTC39-C07 (H18–H20)2B (BB) [HTC39]6B/8P (+1T @HTC39-C7)HTC39 Row2 Stop (Col7)NextColVsHTC39-C6: 2v4
HTC39-C08 (H21–H23)3P (PPP) [HTC39]6B/11P (+0T @HTC39-C8)HTC39 Row3 Stop (Col8)NextColVsHTC39-C7: 3v2
HTC39-C09 (H24–H26)1B (B) [HTC39]7B/11P (+2T @HTC39-C9)HTC39 Row1 Stop (Col9)NextColVsHTC39-C8: 1v3
HTC39-C10 (H27–H28)2P (PP) [HTC39]7B/13P (+0T @HTC39-C10)HTC39 Row2 Stop (Col10)NextColVsHTC39-C9: 2v1
  • HTC39 BEB #5 (BLUE): verified at HTC39 lookback-1 index 4 (19R/37B total).
  • HTC39 SR #5 (BLUE): verified at HTC39 lookback-2 index 4 (23R/32B total).
  • HTC39 CP #3 (BLUE): verified at HTC39 lookback-3 index 2 (31R/22B total).
HTC39 DERIVED-ROAD & CUT-CARD PROBE

HTC39 Lookback Split (19R/37B BEB · 23R/32B 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 HTC39, Big Eye Boy prints 19 Red (33.9%) and 37 Blue marks, Small Road prints 23 Red (41.8%) and 32 Blue marks, and Cockroach Pig prints 31 Red (58.5%) and 22 Blue marks.

At the HTC39 cut card after Hand #70, probing Hand #71 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for HTC39.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC39 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC39 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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