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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT13 (SEED 204313)

Double-Double Twin Shoe DDT13: 74-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT13 (seed 204313) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 74 dealt 8-deck hands (35 Banker, 34 Player, 5 Tie). Its 33 logical Big Road columns occupy 33 display columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:1P) and generate 66 Big Eye Boy marks (28R/38B), 64 Small Road marks (29R/35B), and 62 Cockroach Pig marks (47R/15B).

Verified 8-Deck Hands
74 (DDT13)
Outcome Split
35B / 34P / 5T
Peak Streaks
4B · 4P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 74 Hands

Read the Board at Table Speed

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

DDT13 (seed 204313): 74 hands (35B / 34P / 5T), peak streaks 4B & 4P across 33 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)
DDT13 Big Eye Boy Entry #3

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

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column 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.

DDT13 Small Road Entry #4

Column 4 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

DDT13 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

DDT13 8-Deck Hand Distribution
74 Hands (35 Banker / 34 Player / 5 Tie)

Seed 204313 opening column signature: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:1P.

DDT13 Big Road Span & Max Streaks
Max 4B / Max 4P Across 33 Logical Cols (33 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.

DDT13 Big Eye Boy Rule Breakdown
66 Marks (28R / 38B · 42.4% Red across 34 Display Cols)

Rule 1: 31 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

DDT13 Small Road & Cockroach Pig Tally
SR: 29R/35B (45.3% Red) · CP: 47R/15B (75.8% 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.

DDT13 Hand #75 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #74 of DDT13.

DDT13 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT13 Scoreboard Structure: C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:1P

In catalog shoe DDT13 (seed 204313), 74 total hands resolve into 35 Banker wins, 34 Player wins, and 5 Ties across 33 logical columns (C1:2B · C2:2P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:1P). 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 DDT13 column by column shows peak runs of 4B and 4P spreading across 33 Big Road display columns: DDT13 records 31 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 DDT13 (Seed 204313)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT13-C01 (H1–H3)2B (BB) [DDT13]2B/0P (+1T @DDT13-C1)DDT13 Row2 Stop (Col1)NextColVsDDT13-C1: 2v2
DDT13-C02 (H4–H5)2P (PP) [DDT13]2B/2P (+0T @DDT13-C2)DDT13 Row2 Stop (Col2)NextColVsDDT13-C1: 2v2
DDT13-C03 (H6–H7)2B (BB) [DDT13]4B/2P (+0T @DDT13-C3)DDT13 Row2 Stop (Col3)NextColVsDDT13-C2: 2v2
DDT13-C04 (H8–H9)2P (PP) [DDT13]4B/4P (+0T @DDT13-C4)DDT13 Row2 Stop (Col4)NextColVsDDT13-C3: 2v2
DDT13-C05 (H10–H11)2B (BB) [DDT13]6B/4P (+0T @DDT13-C5)DDT13 Row2 Stop (Col5)NextColVsDDT13-C4: 2v2
DDT13-C06 (H12–H14)2P (PP) [DDT13]6B/6P (+1T @DDT13-C6)DDT13 Row2 Stop (Col6)NextColVsDDT13-C5: 2v2
DDT13-C07 (H15–H16)2B (BB) [DDT13]8B/6P (+0T @DDT13-C7)DDT13 Row2 Stop (Col7)NextColVsDDT13-C6: 2v2
DDT13-C08 (H17–H17)1P (P) [DDT13]8B/7P (+0T @DDT13-C8)DDT13 Row1 Stop (Col8)NextColVsDDT13-C7: 1v2
DDT13-C09 (H18–H19)2B (BB) [DDT13]10B/7P (+0T @DDT13-C9)DDT13 Row2 Stop (Col9)NextColVsDDT13-C8: 2v1
DDT13-C10 (H20–H23)4P (PPPP) [DDT13]10B/11P (+0T @DDT13-C10)DDT13 Row4 Stop (Col10)NextColVsDDT13-C9: 4v2
  • DDT13 BEB #3 (RED): verified at DDT13 lookback-1 index 2 (28R/38B total).
  • DDT13 SR #4 (RED): verified at DDT13 lookback-2 index 3 (29R/35B total).
  • DDT13 CP #1 (RED): verified at DDT13 lookback-3 index 0 (47R/15B total).
DDT13 DERIVED-ROAD & CUT-CARD PROBE

DDT13 Lookback Split (28R/38B BEB · 29R/35B SR · 47R/15B 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 DDT13, Big Eye Boy prints 28 Red (42.4%) and 38 Blue marks, Small Road prints 29 Red (45.3%) and 35 Blue marks, and Cockroach Pig prints 47 Red (75.8%) and 15 Blue marks.

At the DDT13 cut card after Hand #74, probing Hand #75 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for DDT13.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT13 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT13, 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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