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HIGH-TIE CLUSTER VARIANCE · CATALOG HTC35 (SEED 204735)

High-Tie Cluster Shoe HTC35: 68-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe HTC35 (seed 204735) captures a 10 to 15 Ties concentrated along streak transitions and multi-tie beads across 68 dealt 8-deck hands (23 Banker, 31 Player, 14 Tie). Its 23 logical Big Road columns occupy 23 display columns (C1:3B · C2:4P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P) and generate 50 Big Eye Boy marks (17R/33B), 46 Small Road marks (19R/27B), and 44 Cockroach Pig marks (27R/17B).

Verified 8-Deck Hands
68 (HTC35)
Outcome Split
23B / 31P / 14T
Peak Streaks
4B · 4P
Big Road Columns
23 Cols
Engine-Verified Scoreboard · 68 Hands

Read the Board at Table Speed

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

HTC35 (seed 204735): 68 hands (23B / 31P / 14T), peak streaks 4B & 4P across 23 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)
HTC35 Big Eye Boy Entry #7

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.

HTC35 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.

HTC35 Cockroach Pig Entry #3

Column 4 has 3 beads. Column 1 has 3 beads. Same depth → red (=).

  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 3 beads. Same depth → red (=).

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

HTC35 8-Deck Hand Distribution
68 Hands (23 Banker / 31 Player / 14 Tie)

Seed 204735 opening column signature: C1:3B · C2:4P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P.

HTC35 Big Road Span & Max Streaks
Max 4B / Max 4P Across 23 Logical Cols (23 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.

HTC35 Big Eye Boy Rule Breakdown
50 Marks (17R / 33B · 34.0% Red across 30 Display Cols)

Rule 1: 21 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

HTC35 Small Road & Cockroach Pig Tally
SR: 19R/27B (41.3% Red) · CP: 27R/17B (61.4% 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.

HTC35 Hand #69 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #68 of HTC35.

HTC35 COLUMN GEOMETRY (HIGH-TIE-CLUSTER)

HTC35 Scoreboard Structure: C1:3B · C2:4P · C3:2B · C4:3P · C5:1B · C6:4P · C7:2B · C8:3P

In catalog shoe HTC35 (seed 204735), 68 total hands resolve into 23 Banker wins, 31 Player wins, and 14 Ties across 23 logical columns (C1:3B · C2:4P · 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 HTC35 column by column shows peak runs of 4B and 4P spreading across 23 Big Road display columns: HTC35 records 21 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 HTC35 (Seed 204735)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
HTC35-C01 (H1–H5)3B (BBB) [HTC35]3B/0P (+2T @HTC35-C1)HTC35 Row3 Stop (Col1)NextColVsHTC35-C1: 3v3
HTC35-C02 (H6–H12)4P (PPPP) [HTC35]3B/4P (+3T @HTC35-C2)HTC35 Row4 Stop (Col2)NextColVsHTC35-C1: 4v3
HTC35-C03 (H13–H14)2B (BB) [HTC35]5B/4P (+0T @HTC35-C3)HTC35 Row2 Stop (Col3)NextColVsHTC35-C2: 2v4
HTC35-C04 (H15–H18)3P (PPP) [HTC35]5B/7P (+1T @HTC35-C4)HTC35 Row3 Stop (Col4)NextColVsHTC35-C3: 3v2
HTC35-C05 (H19–H21)1B (B) [HTC35]6B/7P (+2T @HTC35-C5)HTC35 Row1 Stop (Col5)NextColVsHTC35-C4: 1v3
HTC35-C06 (H22–H26)4P (PPPP) [HTC35]6B/11P (+1T @HTC35-C6)HTC35 Row4 Stop (Col6)NextColVsHTC35-C5: 4v1
HTC35-C07 (H27–H30)2B (BB) [HTC35]8B/11P (+2T @HTC35-C7)HTC35 Row2 Stop (Col7)NextColVsHTC35-C6: 2v4
HTC35-C08 (H31–H34)3P (PPP) [HTC35]8B/14P (+1T @HTC35-C8)HTC35 Row3 Stop (Col8)NextColVsHTC35-C7: 3v2
HTC35-C09 (H35–H35)1B (B) [HTC35]9B/14P (+0T @HTC35-C9)HTC35 Row1 Stop (Col9)NextColVsHTC35-C8: 1v3
HTC35-C10 (H36–H39)2P (PP) [HTC35]9B/16P (+2T @HTC35-C10)HTC35 Row2 Stop (Col10)NextColVsHTC35-C9: 2v1
  • HTC35 BEB #7 (RED): verified at HTC35 lookback-1 index 6 (17R/33B total).
  • HTC35 SR #6 (BLUE): verified at HTC35 lookback-2 index 5 (19R/27B total).
  • HTC35 CP #3 (RED): verified at HTC35 lookback-3 index 2 (27R/17B total).
HTC35 DERIVED-ROAD & CUT-CARD PROBE

HTC35 Lookback Split (17R/33B BEB · 19R/27B SR · 27R/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 HTC35, Big Eye Boy prints 17 Red (34.0%) and 33 Blue marks, Small Road prints 19 Red (41.3%) and 27 Blue marks, and Cockroach Pig prints 27 Red (61.4%) and 17 Blue marks.

At the HTC35 cut card after Hand #68, probing Hand #69 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for HTC35.

Table Reality Check

Myth vs. Truth

MythThe 10+ Tie cluster in HTC35 interrupts column lookbacks and forces the next derived-road mark to turn Blue.
TruthTies in HTC35 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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