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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC16 (SEED 204716)

High-Tie Cluster Shoe HTC16: 81-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC16 (seed 204716) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 81 dealt 8-deck hands (31 Banker, 37 Player, 13 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:3P · C2:3B · C3:4P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B) and generate 64 Big Eye Boy marks (24R/40B), 61 Small Road marks (26R/35B), and 57 Cockroach Pig marks (33R/24B).

Verified 8-Deck Hands
81 (HTC16)
Outcome Split
31B / 37P / 13T
Peak Streaks
4B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 81 Hands

Read the Board at Table Speed

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

HTC16 (seed 204716): 81 hands (31B / 37P / 13T), peak streaks 4B & 4P across 29 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)
HTC16 Big Eye Boy Entry #6

This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

  1. Column 3 goes down to Row 4, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 3, 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.

HTC16 Small Road Entry #2

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

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

HTC16 Cockroach Pig Entry #4

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

  1. Column 5 goes down to Row 3, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

HTC16 8-Deck Hand Distribution
81 Hands (31 Banker / 37 Player / 13 Tie)

Seed 204716 opening column signature: C1:3P · C2:3B · C3:4P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B.

HTC16 Big Road Span & Max Streaks
Max 4B / Max 4P Across 29 Logical Cols (29 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.

HTC16 Big Eye Boy Rule Breakdown
64 Marks (24R / 40B · 37.5% Red across 37 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

HTC16 Small Road & Cockroach Pig Tally
SR: 26R/35B (42.6% Red) · CP: 33R/24B (57.9% 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.

HTC16 Hand #82 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #81 of HTC16.

HTC16 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC16 Scoreboard Structure: C1:3P · C2:3B · C3:4P · C4:2B · C5:3P · C6:1B · C7:4P · C8:2B

In catalog shoe HTC16 (seed 204716), 81 total hands resolve into 31 Banker wins, 37 Player wins, and 13 Ties across 29 logical columns (C1:3P · C2:3B · C3:4P · 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 HTC16 column by column shows peak runs of 4B and 4P spreading across 29 Big Road display columns: HTC16 records 27 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 37 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC16 (Seed 204716)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC16-C01 (H1–H5)3P (PPP) [HTC16]0B/3P (+2T @HTC16-C1)HTC16 Row3 Stop (Col1)NextColVsHTC16-C1: 3v3
HTC16-C02 (H6–H8)3B (BBB) [HTC16]3B/3P (+0T @HTC16-C2)HTC16 Row3 Stop (Col2)NextColVsHTC16-C1: 3v3
HTC16-C03 (H9–H13)4P (PPPP) [HTC16]3B/7P (+1T @HTC16-C3)HTC16 Row4 Stop (Col3)NextColVsHTC16-C2: 4v3
HTC16-C04 (H14–H17)2B (BB) [HTC16]5B/7P (+2T @HTC16-C4)HTC16 Row2 Stop (Col4)NextColVsHTC16-C3: 2v4
HTC16-C05 (H18–H21)3P (PPP) [HTC16]5B/10P (+1T @HTC16-C5)HTC16 Row3 Stop (Col5)NextColVsHTC16-C4: 3v2
HTC16-C06 (H22–H22)1B (B) [HTC16]6B/10P (+0T @HTC16-C6)HTC16 Row1 Stop (Col6)NextColVsHTC16-C5: 1v3
HTC16-C07 (H23–H28)4P (PPPP) [HTC16]6B/14P (+2T @HTC16-C7)HTC16 Row4 Stop (Col7)NextColVsHTC16-C6: 4v1
HTC16-C08 (H29–H30)2B (BB) [HTC16]8B/14P (+0T @HTC16-C8)HTC16 Row2 Stop (Col8)NextColVsHTC16-C7: 2v4
HTC16-C09 (H31–H34)3P (PPP) [HTC16]8B/17P (+1T @HTC16-C9)HTC16 Row3 Stop (Col9)NextColVsHTC16-C8: 3v2
HTC16-C10 (H35–H35)1B (B) [HTC16]9B/17P (+0T @HTC16-C10)HTC16 Row1 Stop (Col10)NextColVsHTC16-C9: 1v3
  • HTC16 BEB #6 (BLUE): verified at HTC16 lookback-1 index 5 (24R/40B total).
  • HTC16 SR #2 (RED): verified at HTC16 lookback-2 index 1 (26R/35B total).
  • HTC16 CP #4 (RED): verified at HTC16 lookback-3 index 3 (33R/24B total).
HTC16 DERIVED-ROAD & CUT-CARD PROBE

HTC16 Lookback Split (24R/40B BEB · 26R/35B SR · 33R/24B 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 HTC16, Big Eye Boy prints 24 Red (37.5%) and 40 Blue marks, Small Road prints 26 Red (42.6%) and 35 Blue marks, and Cockroach Pig prints 33 Red (57.9%) and 24 Blue marks.

At the HTC16 cut card after Hand #81, probing Hand #82 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for HTC16.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC16 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC16 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android