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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC25 (SEED 204725)

High-Tie Cluster Shoe HTC25: 72-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC25 (seed 204725) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 72 dealt 8-deck hands (29 Banker, 33 Player, 10 Tie). Its 28 logical Big Road columns occupy 28 display columns (C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P) and generate 59 Big Eye Boy marks (20R/39B), 56 Small Road marks (22R/34B), and 55 Cockroach Pig marks (38R/17B).

Verified 8-Deck Hands
72 (HTC25)
Outcome Split
29B / 33P / 10T
Peak Streaks
4B · 4P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 72 Hands

Read the Board at Table Speed

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

HTC25 (seed 204725): 72 hands (29B / 33P / 10T), peak streaks 4B & 4P across 28 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)
HTC25 Big Eye Boy Entry #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

HTC25 Small Road Entry #6

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

HTC25 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

HTC25 8-Deck Hand Distribution
72 Hands (29 Banker / 33 Player / 10 Tie)

Seed 204725 opening column signature: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P.

HTC25 Big Road Span & Max Streaks
Max 4B / Max 4P Across 28 Logical Cols (28 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.

HTC25 Big Eye Boy Rule Breakdown
59 Marks (20R / 39B · 33.9% Red across 34 Display Cols)

Rule 1: 26 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

HTC25 Small Road & Cockroach Pig Tally
SR: 22R/34B (39.3% Red) · CP: 38R/17B (69.1% 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.

HTC25 Hand #73 Next-Hand Probe
If B → BEB blue, SR blue, CP red | If P → BEB red, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #72 of HTC25.

HTC25 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC25 Scoreboard Structure: C1:2B · C2:3P · C3:1B · C4:4P · C5:2B · C6:3P · C7:1B · C8:2P

In catalog shoe HTC25 (seed 204725), 72 total hands resolve into 29 Banker wins, 33 Player wins, and 10 Ties across 28 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 HTC25 column by column shows peak runs of 4B and 4P spreading across 28 Big Road display columns: HTC25 records 26 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 33 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of HTC25 (Seed 204725)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC25-C01 (H1–H2)2B (BB) [HTC25]2B/0P (+0T @HTC25-C1)HTC25 Row2 Stop (Col1)NextColVsHTC25-C1: 2v2
HTC25-C02 (H3–H7)3P (PPP) [HTC25]2B/3P (+2T @HTC25-C2)HTC25 Row3 Stop (Col2)NextColVsHTC25-C1: 3v2
HTC25-C03 (H8–H8)1B (B) [HTC25]3B/3P (+0T @HTC25-C3)HTC25 Row1 Stop (Col3)NextColVsHTC25-C2: 1v3
HTC25-C04 (H9–H13)4P (PPPP) [HTC25]3B/7P (+1T @HTC25-C4)HTC25 Row4 Stop (Col4)NextColVsHTC25-C3: 4v1
HTC25-C05 (H14–H15)2B (BB) [HTC25]5B/7P (+0T @HTC25-C5)HTC25 Row2 Stop (Col5)NextColVsHTC25-C4: 2v4
HTC25-C06 (H16–H20)3P (PPP) [HTC25]5B/10P (+2T @HTC25-C6)HTC25 Row3 Stop (Col6)NextColVsHTC25-C5: 3v2
HTC25-C07 (H21–H21)1B (B) [HTC25]6B/10P (+0T @HTC25-C7)HTC25 Row1 Stop (Col7)NextColVsHTC25-C6: 1v3
HTC25-C08 (H22–H23)2P (PP) [HTC25]6B/12P (+0T @HTC25-C8)HTC25 Row2 Stop (Col8)NextColVsHTC25-C7: 2v1
HTC25-C09 (H24–H28)4B (BBBB) [HTC25]10B/12P (+1T @HTC25-C9)HTC25 Row4 Stop (Col9)NextColVsHTC25-C8: 4v2
HTC25-C10 (H29–H32)2P (PP) [HTC25]10B/14P (+2T @HTC25-C10)HTC25 Row2 Stop (Col10)NextColVsHTC25-C9: 2v4
  • HTC25 BEB #3 (BLUE): verified at HTC25 lookback-1 index 2 (20R/39B total).
  • HTC25 SR #6 (BLUE): verified at HTC25 lookback-2 index 5 (22R/34B total).
  • HTC25 CP #1 (RED): verified at HTC25 lookback-3 index 0 (38R/17B total).
HTC25 DERIVED-ROAD & CUT-CARD PROBE

HTC25 Lookback Split (20R/39B BEB · 22R/34B SR · 38R/17B 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 HTC25, Big Eye Boy prints 20 Red (33.9%) and 39 Blue marks, Small Road prints 22 Red (39.3%) and 34 Blue marks, and Cockroach Pig prints 38 Red (69.1%) and 17 Blue marks.

At the HTC25 cut card after Hand #72, probing Hand #73 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP RED and Player → BEB RED / SR RED / CP BLUE for HTC25.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC25 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC25 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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