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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC27 (SEED 204727)

High-Tie Cluster Shoe HTC27: 82-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC27 (seed 204727) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 82 dealt 8-deck hands (33 Banker, 37 Player, 12 Tie). Its 32 logical Big Road columns occupy 32 display columns (C1:3B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P) and generate 66 Big Eye Boy marks (21R/45B), 65 Small Road marks (25R/40B), and 63 Cockroach Pig marks (42R/21B).

Verified 8-Deck Hands
82 (HTC27)
Outcome Split
33B / 37P / 12T
Peak Streaks
4B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 82 Hands

Read the Board at Table Speed

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

HTC27 (seed 204727): 82 hands (33B / 37P / 12T), peak streaks 4B & 4P across 32 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)
HTC27 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.

HTC27 Small Road Entry #3

This bead is at Row 2. Column 2 stopped at Row 1, one row above → blue (≠).

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

HTC27 Cockroach Pig Entry #3

Column 4 has 3 beads. Column 1 has 3 beads. Same depth → red (=).

  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 3 beads. Same depth → red (=).

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

HTC27 8-Deck Hand Distribution
82 Hands (33 Banker / 37 Player / 12 Tie)

Seed 204727 opening column signature: C1:3B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P.

HTC27 Big Road Span & Max Streaks
Max 4B / Max 4P Across 32 Logical Cols (32 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.

HTC27 Big Eye Boy Rule Breakdown
66 Marks (21R / 45B · 31.8% Red across 37 Display Cols)

Rule 1: 30 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

HTC27 Small Road & Cockroach Pig Tally
SR: 25R/40B (38.5% Red) · CP: 42R/21B (66.7% 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.

HTC27 Hand #83 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #82 of HTC27.

HTC27 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC27 Scoreboard Structure: C1:3B · C2:1P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P

In catalog shoe HTC27 (seed 204727), 82 total hands resolve into 33 Banker wins, 37 Player wins, and 12 Ties across 32 logical columns (C1:3B · 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 HTC27 column by column shows peak runs of 4B and 4P spreading across 32 Big Road display columns: HTC27 records 30 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 36 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC27 (Seed 204727)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC27-C01 (H1–H5)3B (BBB) [HTC27]3B/0P (+2T @HTC27-C1)HTC27 Row3 Stop (Col1)NextColVsHTC27-C1: 3v3
HTC27-C02 (H6–H6)1P (P) [HTC27]3B/1P (+0T @HTC27-C2)HTC27 Row1 Stop (Col2)NextColVsHTC27-C1: 1v3
HTC27-C03 (H7–H9)2B (BB) [HTC27]5B/1P (+1T @HTC27-C3)HTC27 Row2 Stop (Col3)NextColVsHTC27-C2: 2v1
HTC27-C04 (H10–H12)3P (PPP) [HTC27]5B/4P (+0T @HTC27-C4)HTC27 Row3 Stop (Col4)NextColVsHTC27-C3: 3v2
HTC27-C05 (H13–H13)1B (B) [HTC27]6B/4P (+0T @HTC27-C5)HTC27 Row1 Stop (Col5)NextColVsHTC27-C4: 1v3
HTC27-C06 (H14–H19)4P (PPPP) [HTC27]6B/8P (+2T @HTC27-C6)HTC27 Row4 Stop (Col6)NextColVsHTC27-C5: 4v1
HTC27-C07 (H20–H22)2B (BB) [HTC27]8B/8P (+1T @HTC27-C7)HTC27 Row2 Stop (Col7)NextColVsHTC27-C6: 2v4
HTC27-C08 (H23–H25)3P (PPP) [HTC27]8B/11P (+0T @HTC27-C8)HTC27 Row3 Stop (Col8)NextColVsHTC27-C7: 3v2
HTC27-C09 (H26–H26)1B (B) [HTC27]9B/11P (+0T @HTC27-C9)HTC27 Row1 Stop (Col9)NextColVsHTC27-C8: 1v3
HTC27-C10 (H27–H30)2P (PP) [HTC27]9B/13P (+2T @HTC27-C10)HTC27 Row2 Stop (Col10)NextColVsHTC27-C9: 2v1
  • HTC27 BEB #5 (BLUE): verified at HTC27 lookback-1 index 4 (21R/45B total).
  • HTC27 SR #3 (BLUE): verified at HTC27 lookback-2 index 2 (25R/40B total).
  • HTC27 CP #3 (RED): verified at HTC27 lookback-3 index 2 (42R/21B total).
HTC27 DERIVED-ROAD & CUT-CARD PROBE

HTC27 Lookback Split (21R/45B BEB · 25R/40B SR · 42R/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 HTC27, Big Eye Boy prints 21 Red (31.8%) and 45 Blue marks, Small Road prints 25 Red (38.5%) and 40 Blue marks, and Cockroach Pig prints 42 Red (66.7%) and 21 Blue marks.

At the HTC27 cut card after Hand #82, probing Hand #83 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for HTC27.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC27 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC27 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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