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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC20 (SEED 204720)

High-Tie Cluster Shoe HTC20: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC20 (seed 204720) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 65 dealt 8-deck hands (24 Banker, 30 Player, 11 Tie). Its 25 logical Big Road columns occupy 25 display columns (C1:1P · C2:1B · C3:1P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B) and generate 52 Big Eye Boy marks (17R/35B), 51 Small Road marks (24R/27B), and 50 Cockroach Pig marks (29R/21B).

Verified 8-Deck Hands
65 (HTC20)
Outcome Split
24B / 30P / 11T
Peak Streaks
4B · 4P
Big Road Columns
25 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

HTC20 (seed 204720): 65 hands (24B / 30P / 11T), peak streaks 4B & 4P across 25 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)
HTC20 Big Eye Boy Entry #4

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

HTC20 Small Road Entry #6

Column 5 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 3 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

HTC20 Cockroach Pig Entry #4

This bead is at Row 3. Column 2 stopped at Row 1, more than one row above → red (=).

  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 1, more than one row above → 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

HTC20 8-Deck Hand Distribution
65 Hands (24 Banker / 30 Player / 11 Tie)

Seed 204720 opening column signature: C1:1P · C2:1B · C3:1P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B.

HTC20 Big Road Span & Max Streaks
Max 4B / Max 4P Across 25 Logical Cols (25 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.

HTC20 Big Eye Boy Rule Breakdown
52 Marks (17R / 35B · 32.7% Red across 29 Display Cols)

Rule 1: 23 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

HTC20 Small Road & Cockroach Pig Tally
SR: 24R/27B (47.1% Red) · CP: 29R/21B (58.0% 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.

HTC20 Hand #66 Next-Hand Probe
If B → BEB blue, SR blue, CP blue | If P → BEB red, SR red, CP red

Computed by getNextRoadPredictions() after Hand #65 of HTC20.

HTC20 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC20 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B

In catalog shoe HTC20 (seed 204720), 65 total hands resolve into 24 Banker wins, 30 Player wins, and 11 Ties across 25 logical columns (C1:1P · C2:1B · C3:1P · 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 HTC20 column by column shows peak runs of 4B and 4P spreading across 25 Big Road display columns: HTC20 records 23 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 HTC20 (Seed 204720)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC20-C01 (H1–H1)1P (P) [HTC20]0B/1P (+0T @HTC20-C1)HTC20 Row1 Stop (Col1)NextColVsHTC20-C1: 1v1
HTC20-C02 (H2–H2)1B (B) [HTC20]1B/1P (+0T @HTC20-C2)HTC20 Row1 Stop (Col2)NextColVsHTC20-C1: 1v1
HTC20-C03 (H3–H5)1P (P) [HTC20]1B/2P (+2T @HTC20-C3)HTC20 Row1 Stop (Col3)NextColVsHTC20-C2: 1v1
HTC20-C04 (H6–H7)2B (BB) [HTC20]3B/2P (+0T @HTC20-C4)HTC20 Row2 Stop (Col4)NextColVsHTC20-C3: 2v1
HTC20-C05 (H8–H11)3P (PPP) [HTC20]3B/5P (+1T @HTC20-C5)HTC20 Row3 Stop (Col5)NextColVsHTC20-C4: 3v2
HTC20-C06 (H12–H12)1B (B) [HTC20]4B/5P (+0T @HTC20-C6)HTC20 Row1 Stop (Col6)NextColVsHTC20-C5: 1v3
HTC20-C07 (H13–H18)4P (PPPP) [HTC20]4B/9P (+2T @HTC20-C7)HTC20 Row4 Stop (Col7)NextColVsHTC20-C6: 4v1
HTC20-C08 (H19–H21)2B (BB) [HTC20]6B/9P (+1T @HTC20-C8)HTC20 Row2 Stop (Col8)NextColVsHTC20-C7: 2v4
HTC20-C09 (H22–H24)3P (PPP) [HTC20]6B/12P (+0T @HTC20-C9)HTC20 Row3 Stop (Col9)NextColVsHTC20-C8: 3v2
HTC20-C10 (H25–H27)1B (B) [HTC20]7B/12P (+2T @HTC20-C10)HTC20 Row1 Stop (Col10)NextColVsHTC20-C9: 1v3
  • HTC20 BEB #4 (BLUE): verified at HTC20 lookback-1 index 3 (17R/35B total).
  • HTC20 SR #6 (BLUE): verified at HTC20 lookback-2 index 5 (24R/27B total).
  • HTC20 CP #4 (RED): verified at HTC20 lookback-3 index 3 (29R/21B total).
HTC20 DERIVED-ROAD & CUT-CARD PROBE

HTC20 Lookback Split (17R/35B BEB · 24R/27B SR · 29R/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 HTC20, Big Eye Boy prints 17 Red (32.7%) and 35 Blue marks, Small Road prints 24 Red (47.1%) and 27 Blue marks, and Cockroach Pig prints 29 Red (58.0%) and 21 Blue marks.

At the HTC20 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP BLUE and Player → BEB RED / SR RED / CP RED for HTC20.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC20 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC20 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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