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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC17 (SEED 204717)

High-Tie Cluster Shoe HTC17: 68-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC17 (seed 204717) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 68 dealt 8-deck hands (25 Banker, 29 Player, 14 Tie). Its 24 logical Big Road columns occupy 24 display columns (C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P) and generate 51 Big Eye Boy marks (17R/34B), 48 Small Road marks (20R/28B), and 47 Cockroach Pig marks (26R/21B).

Verified 8-Deck Hands
68 (HTC17)
Outcome Split
25B / 29P / 14T
Peak Streaks
4B · 4P
Big Road Columns
24 Cols
Engine-Verified Scoreboard · 68 Hands

Read the Board at Table Speed

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

HTC17 (seed 204717): 68 hands (25B / 29P / 14T), peak streaks 4B & 4P across 24 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)
HTC17 Big Eye Boy Entry #7

This bead is at Row 4. Column 3 stopped at Row 1, more than one row above → red (=).

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

HTC17 Small Road Entry #3

This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 3 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.

HTC17 Cockroach Pig Entry #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

Verified Reference Data

Key Facts & Table Specifications

HTC17 8-Deck Hand Distribution
68 Hands (25 Banker / 29 Player / 14 Tie)

Seed 204717 opening column signature: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P.

HTC17 Big Road Span & Max Streaks
Max 4B / Max 4P Across 24 Logical Cols (24 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.

HTC17 Big Eye Boy Rule Breakdown
51 Marks (17R / 34B · 33.3% Red across 32 Display Cols)

Rule 1: 22 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

HTC17 Small Road & Cockroach Pig Tally
SR: 20R/28B (41.7% Red) · CP: 26R/21B (55.3% 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.

HTC17 Hand #69 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #68 of HTC17.

HTC17 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC17 Scoreboard Structure: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P

In catalog shoe HTC17 (seed 204717), 68 total hands resolve into 25 Banker wins, 29 Player wins, and 14 Ties across 24 logical columns (C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P). 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 HTC17 column by column shows peak runs of 4B and 4P spreading across 24 Big Road display columns: HTC17 records 22 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 HTC17 (Seed 204717)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC17-C01 (H1–H4)2B (BB) [HTC17]2B/0P (+2T @HTC17-C1)HTC17 Row2 Stop (Col1)NextColVsHTC17-C1: 2v2
HTC17-C02 (H5–H8)3P (PPP) [HTC17]2B/3P (+1T @HTC17-C2)HTC17 Row3 Stop (Col2)NextColVsHTC17-C1: 3v2
HTC17-C03 (H9–H9)1B (B) [HTC17]3B/3P (+0T @HTC17-C3)HTC17 Row1 Stop (Col3)NextColVsHTC17-C2: 1v3
HTC17-C04 (H10–H16)4P (PPPP) [HTC17]3B/7P (+3T @HTC17-C4)HTC17 Row4 Stop (Col4)NextColVsHTC17-C3: 4v1
HTC17-C05 (H17–H18)2B (BB) [HTC17]5B/7P (+0T @HTC17-C5)HTC17 Row2 Stop (Col5)NextColVsHTC17-C4: 2v4
HTC17-C06 (H19–H23)3P (PPP) [HTC17]5B/10P (+2T @HTC17-C6)HTC17 Row3 Stop (Col6)NextColVsHTC17-C5: 3v2
HTC17-C07 (H24–H25)1B (B) [HTC17]6B/10P (+1T @HTC17-C7)HTC17 Row1 Stop (Col7)NextColVsHTC17-C6: 1v3
HTC17-C08 (H26–H27)2P (PP) [HTC17]6B/12P (+0T @HTC17-C8)HTC17 Row2 Stop (Col8)NextColVsHTC17-C7: 2v1
HTC17-C09 (H28–H34)4B (BBBB) [HTC17]10B/12P (+3T @HTC17-C9)HTC17 Row4 Stop (Col9)NextColVsHTC17-C8: 4v2
HTC17-C10 (H35–H36)2P (PP) [HTC17]10B/14P (+0T @HTC17-C10)HTC17 Row2 Stop (Col10)NextColVsHTC17-C9: 2v4
  • HTC17 BEB #7 (RED): verified at HTC17 lookback-1 index 6 (17R/34B total).
  • HTC17 SR #3 (RED): verified at HTC17 lookback-2 index 2 (20R/28B total).
  • HTC17 CP #1 (RED): verified at HTC17 lookback-3 index 0 (26R/21B total).
HTC17 DERIVED-ROAD & CUT-CARD PROBE

HTC17 Lookback Split (17R/34B BEB · 20R/28B SR · 26R/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 HTC17, Big Eye Boy prints 17 Red (33.3%) and 34 Blue marks, Small Road prints 20 Red (41.7%) and 28 Blue marks, and Cockroach Pig prints 26 Red (55.3%) and 21 Blue marks.

At the HTC17 cut card after Hand #68, probing Hand #69 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for HTC17.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC17 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC17 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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