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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC31 (SEED 204731)

High-Tie Cluster Shoe HTC31: 66-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC31 (seed 204731) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 66 dealt 8-deck hands (27 Banker, 29 Player, 10 Tie). Its 26 logical Big Road columns occupy 26 display columns (C1:2B · C2:2P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P) and generate 53 Big Eye Boy marks (18R/35B), 51 Small Road marks (23R/28B), and 49 Cockroach Pig marks (27R/22B).

Verified 8-Deck Hands
66 (HTC31)
Outcome Split
27B / 29P / 10T
Peak Streaks
4B · 4P
Big Road Columns
26 Cols
Engine-Verified Scoreboard · 66 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P 2 B P P P P P P P 2 B P P P P P B B 2 B P P B P B B B B B P P P B P P B B B B P B B B P P B P P
Big Eye Boy = = = = = ≠ ≠ ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠
Small Road = = = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ = = ≠ = = ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ ≠ =
Cockroach Pig = ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = = = = = = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = =

HTC31 (seed 204731): 66 hands (27B / 29P / 10T), 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)
HTC31 Big Eye Boy Entry #3

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.

HTC31 Small Road Entry #2

Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

HTC31 Cockroach Pig Entry #3

Column 4 has 3 beads. Column 1 has 2 beads. 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 2 beads. 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

HTC31 8-Deck Hand Distribution
66 Hands (27 Banker / 29 Player / 10 Tie)

Seed 204731 opening column signature: C1:2B · C2:2P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P.

HTC31 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.

HTC31 Big Eye Boy Rule Breakdown
53 Marks (18R / 35B · 34.0% Red across 26 Display Cols)

Rule 1: 24 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

HTC31 Small Road & Cockroach Pig Tally
SR: 23R/28B (45.1% Red) · CP: 27R/22B (55.1% 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.

HTC31 Hand #67 Next-Hand Probe
If B → BEB blue, SR red, CP blue | If P → BEB red, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #66 of HTC31.

HTC31 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC31 Scoreboard Structure: C1:2B · C2:2P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P

In catalog shoe HTC31 (seed 204731), 66 total hands resolve into 27 Banker wins, 29 Player wins, and 10 Ties across 26 logical columns (C1:2B · C2:2P · 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 HTC31 column by column shows peak runs of 4B and 4P spreading across 26 Big Road display columns: HTC31 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 29 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC31 (Seed 204731)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC31-C01 (H1–H2)2B (BB) [HTC31]2B/0P (+0T @HTC31-C1)HTC31 Row2 Stop (Col1)NextColVsHTC31-C1: 2v2
HTC31-C02 (H3–H4)2P (PP) [HTC31]2B/2P (+0T @HTC31-C2)HTC31 Row2 Stop (Col2)NextColVsHTC31-C1: 2v2
HTC31-C03 (H5–H8)2B (BB) [HTC31]4B/2P (+2T @HTC31-C3)HTC31 Row2 Stop (Col3)NextColVsHTC31-C2: 2v2
HTC31-C04 (H9–H11)3P (PPP) [HTC31]4B/5P (+0T @HTC31-C4)HTC31 Row3 Stop (Col4)NextColVsHTC31-C3: 3v2
HTC31-C05 (H12–H13)1B (B) [HTC31]5B/5P (+1T @HTC31-C5)HTC31 Row1 Stop (Col5)NextColVsHTC31-C4: 1v3
HTC31-C06 (H14–H17)4P (PPPP) [HTC31]5B/9P (+0T @HTC31-C6)HTC31 Row4 Stop (Col6)NextColVsHTC31-C5: 4v1
HTC31-C07 (H18–H21)2B (BB) [HTC31]7B/9P (+2T @HTC31-C7)HTC31 Row2 Stop (Col7)NextColVsHTC31-C6: 2v4
HTC31-C08 (H22–H24)3P (PPP) [HTC31]7B/12P (+0T @HTC31-C8)HTC31 Row3 Stop (Col8)NextColVsHTC31-C7: 3v2
HTC31-C09 (H25–H26)1B (B) [HTC31]8B/12P (+1T @HTC31-C9)HTC31 Row1 Stop (Col9)NextColVsHTC31-C8: 1v3
HTC31-C10 (H27–H28)2P (PP) [HTC31]8B/14P (+0T @HTC31-C10)HTC31 Row2 Stop (Col10)NextColVsHTC31-C9: 2v1
  • HTC31 BEB #3 (RED): verified at HTC31 lookback-1 index 2 (18R/35B total).
  • HTC31 SR #2 (RED): verified at HTC31 lookback-2 index 1 (23R/28B total).
  • HTC31 CP #3 (BLUE): verified at HTC31 lookback-3 index 2 (27R/22B total).
HTC31 DERIVED-ROAD & CUT-CARD PROBE

HTC31 Lookback Split (18R/35B BEB · 23R/28B SR · 27R/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 HTC31, Big Eye Boy prints 18 Red (34.0%) and 35 Blue marks, Small Road prints 23 Red (45.1%) and 28 Blue marks, and Cockroach Pig prints 27 Red (55.1%) and 22 Blue marks.

At the HTC31 cut card after Hand #66, probing Hand #67 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP BLUE and Player → BEB RED / SR BLUE / CP RED for HTC31.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC31 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC31 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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