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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC15 (SEED 204715)

High-Tie Cluster Shoe HTC15: 76-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC15 (seed 204715) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 76 dealt 8-deck hands (30 Banker, 34 Player, 12 Tie). Its 29 logical Big Road columns occupy 29 display columns (C1:2B · C2:2P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P) and generate 61 Big Eye Boy marks (22R/39B), 59 Small Road marks (25R/34B), and 57 Cockroach Pig marks (33R/24B).

Verified 8-Deck Hands
76 (HTC15)
Outcome Split
30B / 34P / 12T
Peak Streaks
4B · 4P
Big Road Columns
29 Cols
Engine-Verified Scoreboard · 76 Hands

Read the Board at Table Speed

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

HTC15 (seed 204715): 76 hands (30B / 34P / 12T), 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)
HTC15 Big Eye Boy Entry #5

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

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

HTC15 Small Road Entry #6

Column 5 has 1 bead. Column 3 has 2 beads. 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 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

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

HTC15 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

HTC15 8-Deck Hand Distribution
76 Hands (30 Banker / 34 Player / 12 Tie)

Seed 204715 opening column signature: C1:2B · C2:2P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P.

HTC15 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.

HTC15 Big Eye Boy Rule Breakdown
61 Marks (22R / 39B · 36.1% Red across 34 Display Cols)

Rule 1: 27 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

HTC15 Small Road & Cockroach Pig Tally
SR: 25R/34B (42.4% 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.

HTC15 Hand #77 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #76 of HTC15.

HTC15 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC15 Scoreboard Structure: C1:2B · C2:2P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P

In catalog shoe HTC15 (seed 204715), 76 total hands resolve into 30 Banker wins, 34 Player wins, and 12 Ties across 29 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 HTC15 column by column shows peak runs of 4B and 4P spreading across 29 Big Road display columns: HTC15 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 34 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC15 (Seed 204715)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC15-C01 (H1–H4)2B (BB) [HTC15]2B/0P (+2T @HTC15-C1)HTC15 Row2 Stop (Col1)NextColVsHTC15-C1: 2v2
HTC15-C02 (H5–H6)2P (PP) [HTC15]2B/2P (+0T @HTC15-C2)HTC15 Row2 Stop (Col2)NextColVsHTC15-C1: 2v2
HTC15-C03 (H7–H9)2B (BB) [HTC15]4B/2P (+1T @HTC15-C3)HTC15 Row2 Stop (Col3)NextColVsHTC15-C2: 2v2
HTC15-C04 (H10–H12)3P (PPP) [HTC15]4B/5P (+0T @HTC15-C4)HTC15 Row3 Stop (Col4)NextColVsHTC15-C3: 3v2
HTC15-C05 (H13–H15)1B (B) [HTC15]5B/5P (+2T @HTC15-C5)HTC15 Row1 Stop (Col5)NextColVsHTC15-C4: 1v3
HTC15-C06 (H16–H20)4P (PPPP) [HTC15]5B/9P (+1T @HTC15-C6)HTC15 Row4 Stop (Col6)NextColVsHTC15-C5: 4v1
HTC15-C07 (H21–H22)2B (BB) [HTC15]7B/9P (+0T @HTC15-C7)HTC15 Row2 Stop (Col7)NextColVsHTC15-C6: 2v4
HTC15-C08 (H23–H27)3P (PPP) [HTC15]7B/12P (+2T @HTC15-C8)HTC15 Row3 Stop (Col8)NextColVsHTC15-C7: 3v2
HTC15-C09 (H28–H28)1B (B) [HTC15]8B/12P (+0T @HTC15-C9)HTC15 Row1 Stop (Col9)NextColVsHTC15-C8: 1v3
HTC15-C10 (H29–H31)2P (PP) [HTC15]8B/14P (+1T @HTC15-C10)HTC15 Row2 Stop (Col10)NextColVsHTC15-C9: 2v1
  • HTC15 BEB #5 (RED): verified at HTC15 lookback-1 index 4 (22R/39B total).
  • HTC15 SR #6 (BLUE): verified at HTC15 lookback-2 index 5 (25R/34B total).
  • HTC15 CP #3 (BLUE): verified at HTC15 lookback-3 index 2 (33R/24B total).
HTC15 DERIVED-ROAD & CUT-CARD PROBE

HTC15 Lookback Split (22R/39B BEB · 25R/34B 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 HTC15, Big Eye Boy prints 22 Red (36.1%) and 39 Blue marks, Small Road prints 25 Red (42.4%) and 34 Blue marks, and Cockroach Pig prints 33 Red (57.9%) and 24 Blue marks.

At the HTC15 cut card after Hand #76, probing Hand #77 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for HTC15.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC15 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC15 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
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