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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT19 (SEED 204319)

Double-Double Twin Shoe DDT19: 68-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT19 (seed 204319) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 68 dealt 8-deck hands (32 Banker, 30 Player, 6 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:3B · C2:4P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P) and generate 58 Big Eye Boy marks (29R/29B), 54 Small Road marks (28R/26B), and 52 Cockroach Pig marks (39R/13B).

Verified 8-Deck Hands
68 (DDT19)
Outcome Split
32B / 30P / 6T
Peak Streaks
4B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 68 Hands

Read the Board at Table Speed

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

DDT19 (seed 204319): 68 hands (32B / 30P / 6T), peak streaks 4B & 4P across 27 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)
DDT19 Big Eye Boy Entry #3

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

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

DDT19 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.

DDT19 Cockroach Pig Entry #3

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

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

Verified Reference Data

Key Facts & Table Specifications

DDT19 8-Deck Hand Distribution
68 Hands (32 Banker / 30 Player / 6 Tie)

Seed 204319 opening column signature: C1:3B · C2:4P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P.

DDT19 Big Road Span & Max Streaks
Max 4B / Max 4P Across 27 Logical Cols (27 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.

DDT19 Big Eye Boy Rule Breakdown
58 Marks (29R / 29B · 50.0% Red across 27 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 33.

DDT19 Small Road & Cockroach Pig Tally
SR: 28R/26B (51.9% Red) · CP: 39R/13B (75.0% 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.

DDT19 Hand #69 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #68 of DDT19.

DDT19 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT19 Scoreboard Structure: C1:3B · C2:4P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P

In catalog shoe DDT19 (seed 204319), 68 total hands resolve into 32 Banker wins, 30 Player wins, and 6 Ties across 27 logical columns (C1:3B · C2:4P · 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 DDT19 column by column shows peak runs of 4B and 4P spreading across 27 Big Road display columns: DDT19 records 25 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 DDT19 (Seed 204319)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT19-C01 (H1–H4)3B (BBB) [DDT19]3B/0P (+1T @DDT19-C1)DDT19 Row3 Stop (Col1)NextColVsDDT19-C1: 3v3
DDT19-C02 (H5–H8)4P (PPPP) [DDT19]3B/4P (+0T @DDT19-C2)DDT19 Row4 Stop (Col2)NextColVsDDT19-C1: 4v3
DDT19-C03 (H9–H10)2B (BB) [DDT19]5B/4P (+0T @DDT19-C3)DDT19 Row2 Stop (Col3)NextColVsDDT19-C2: 2v4
DDT19-C04 (H11–H13)2P (PP) [DDT19]5B/6P (+1T @DDT19-C4)DDT19 Row2 Stop (Col4)NextColVsDDT19-C3: 2v2
DDT19-C05 (H14–H15)2B (BB) [DDT19]7B/6P (+0T @DDT19-C5)DDT19 Row2 Stop (Col5)NextColVsDDT19-C4: 2v2
DDT19-C06 (H16–H17)2P (PP) [DDT19]7B/8P (+0T @DDT19-C6)DDT19 Row2 Stop (Col6)NextColVsDDT19-C5: 2v2
DDT19-C07 (H18–H19)2B (BB) [DDT19]9B/8P (+0T @DDT19-C7)DDT19 Row2 Stop (Col7)NextColVsDDT19-C6: 2v2
DDT19-C08 (H20–H22)2P (PP) [DDT19]9B/10P (+1T @DDT19-C8)DDT19 Row2 Stop (Col8)NextColVsDDT19-C7: 2v2
DDT19-C09 (H23–H24)2B (BB) [DDT19]11B/10P (+0T @DDT19-C9)DDT19 Row2 Stop (Col9)NextColVsDDT19-C8: 2v2
DDT19-C10 (H25–H26)2P (PP) [DDT19]11B/12P (+0T @DDT19-C10)DDT19 Row2 Stop (Col10)NextColVsDDT19-C9: 2v2
  • DDT19 BEB #3 (BLUE): verified at DDT19 lookback-1 index 2 (29R/29B total).
  • DDT19 SR #5 (RED): verified at DDT19 lookback-2 index 4 (28R/26B total).
  • DDT19 CP #3 (RED): verified at DDT19 lookback-3 index 2 (39R/13B total).
DDT19 DERIVED-ROAD & CUT-CARD PROBE

DDT19 Lookback Split (29R/29B BEB · 28R/26B SR · 39R/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 DDT19, Big Eye Boy prints 29 Red (50.0%) and 29 Blue marks, Small Road prints 28 Red (51.9%) and 26 Blue marks, and Cockroach Pig prints 39 Red (75.0%) and 13 Blue marks.

At the DDT19 cut card after Hand #68, probing Hand #69 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for DDT19.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT19 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT19, 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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