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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT09 (SEED 204309)

Double-Double Twin Shoe DDT09: 72-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT09 (seed 204309) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 72 dealt 8-deck hands (31 Banker, 35 Player, 6 Tie). Its 30 logical Big Road columns occupy 30 display columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P) and generate 63 Big Eye Boy marks (30R/33B), 61 Small Road marks (30R/31B), and 59 Cockroach Pig marks (46R/13B).

Verified 8-Deck Hands
72 (DDT09)
Outcome Split
31B / 35P / 6T
Peak Streaks
4B · 4P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 72 Hands

Read the Board at Table Speed

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

DDT09 (seed 204309): 72 hands (31B / 35P / 6T), peak streaks 4B & 4P across 30 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)
DDT09 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.

DDT09 Small Road Entry #5

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

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

DDT09 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

DDT09 8-Deck Hand Distribution
72 Hands (31 Banker / 35 Player / 6 Tie)

Seed 204309 opening column signature: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P.

DDT09 Big Road Span & Max Streaks
Max 4B / Max 4P Across 30 Logical Cols (30 Display Cols)

In a 2-by-2 twin run, the first bead of each pair triggers Rule 1 at Row 1 (comparing prior depth 2 against depth 2) and the second bead triggers Rule 2 Case 1 at Row 2.

DDT09 Big Eye Boy Rule Breakdown
63 Marks (30R / 33B · 47.6% Red across 31 Display Cols)

Rule 1: 28 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

DDT09 Small Road & Cockroach Pig Tally
SR: 30R/31B (49.2% Red) · CP: 46R/13B (78.0% Red)

When a column finally extends to a third bead at Row 3, it steps exactly one row past the reference column's depth-2 stop point, producing a textbook Rule 2 Case 2 Blue (≠) break.

DDT09 Hand #73 Next-Hand Probe
If B → BEB blue, SR blue, CP blue | If P → BEB red, SR red, CP red

Computed by getNextRoadPredictions() after Hand #72 of DDT09.

DDT09 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT09 Scoreboard Structure: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P

In catalog shoe DDT09 (seed 204309), 72 total hands resolve into 31 Banker wins, 35 Player wins, and 6 Ties across 30 logical columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P). In a 2-by-2 twin run, the first bead of each pair triggers Rule 1 at Row 1 (comparing prior depth 2 against depth 2) and the second bead triggers Rule 2 Case 1 at Row 2.

Tracking DDT09 column by column shows peak runs of 4B and 4P spreading across 30 Big Road display columns: DDT09 records 28 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 35 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT09 (Seed 204309)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT09-C01 (H1–H2)2B (BB) [DDT09]2B/0P (+0T @DDT09-C1)DDT09 Row2 Stop (Col1)NextColVsDDT09-C1: 2v2
DDT09-C02 (H3–H4)2P (PP) [DDT09]2B/2P (+0T @DDT09-C2)DDT09 Row2 Stop (Col2)NextColVsDDT09-C1: 2v2
DDT09-C03 (H5–H6)2B (BB) [DDT09]4B/2P (+0T @DDT09-C3)DDT09 Row2 Stop (Col3)NextColVsDDT09-C2: 2v2
DDT09-C04 (H7–H9)2P (PP) [DDT09]4B/4P (+1T @DDT09-C4)DDT09 Row2 Stop (Col4)NextColVsDDT09-C3: 2v2
DDT09-C05 (H10–H11)2B (BB) [DDT09]6B/4P (+0T @DDT09-C5)DDT09 Row2 Stop (Col5)NextColVsDDT09-C4: 2v2
DDT09-C06 (H12–H13)2P (PP) [DDT09]6B/6P (+0T @DDT09-C6)DDT09 Row2 Stop (Col6)NextColVsDDT09-C5: 2v2
DDT09-C07 (H14–H15)2B (BB) [DDT09]8B/6P (+0T @DDT09-C7)DDT09 Row2 Stop (Col7)NextColVsDDT09-C6: 2v2
DDT09-C08 (H16–H17)2P (PP) [DDT09]8B/8P (+0T @DDT09-C8)DDT09 Row2 Stop (Col8)NextColVsDDT09-C7: 2v2
DDT09-C09 (H18–H21)3B (BBB) [DDT09]11B/8P (+1T @DDT09-C9)DDT09 Row3 Stop (Col9)NextColVsDDT09-C8: 3v2
DDT09-C10 (H22–H23)2P (PP) [DDT09]11B/10P (+0T @DDT09-C10)DDT09 Row2 Stop (Col10)NextColVsDDT09-C9: 2v3
  • DDT09 BEB #5 (RED): verified at DDT09 lookback-1 index 4 (30R/33B total).
  • DDT09 SR #5 (RED): verified at DDT09 lookback-2 index 4 (30R/31B total).
  • DDT09 CP #1 (RED): verified at DDT09 lookback-3 index 0 (46R/13B total).
DDT09 DERIVED-ROAD & CUT-CARD PROBE

DDT09 Lookback Split (30R/33B BEB · 30R/31B SR · 46R/13B CP)

When a column finally extends to a third bead at Row 3, it steps exactly one row past the reference column's depth-2 stop point, producing a textbook Rule 2 Case 2 Blue (≠) break. Across DDT09, Big Eye Boy prints 30 Red (47.6%) and 33 Blue marks, Small Road prints 30 Red (49.2%) and 31 Blue marks, and Cockroach Pig prints 46 Red (78.0%) and 13 Blue marks.

At the DDT09 cut card after Hand #72, probing Hand #73 via getNextRoadPredictions() yields Banker → BEB BLUE / SR BLUE / CP BLUE and Player → BEB RED / SR RED / CP RED for DDT09.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT09 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT09, the reference column also has a bead at Row 2, so Rule 2 Case 1 marks Red (=); a break only appears if a column stops at 1 or extends to Row 3.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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