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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT40 (SEED 204340)

Double-Double Twin Shoe DDT40: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT40 (seed 204340) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 65 dealt 8-deck hands (29 Banker, 29 Player, 7 Tie). Its 27 logical Big Road columns occupy 27 display columns (C1:3P · C2:3B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 54 Big Eye Boy marks (31R/23B), 51 Small Road marks (27R/24B), and 50 Cockroach Pig marks (36R/14B).

Verified 8-Deck Hands
65 (DDT40)
Outcome Split
29B / 29P / 7T
Peak Streaks
4B · 4P
Big Road Columns
27 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

DDT40 (seed 204340): 65 hands (29B / 29P / 7T), 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)
DDT40 Big Eye Boy Entry #6

Column 4 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

DDT40 Small Road Entry #6

This bead is at Row 2. Column 4 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

DDT40 Cockroach Pig Entry #4

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

DDT40 8-Deck Hand Distribution
65 Hands (29 Banker / 29 Player / 7 Tie)

Seed 204340 opening column signature: C1:3P · C2:3B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT40 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.

DDT40 Big Eye Boy Rule Breakdown
54 Marks (31R / 23B · 57.4% Red across 21 Display Cols)

Rule 1: 25 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

DDT40 Small Road & Cockroach Pig Tally
SR: 27R/24B (52.9% Red) · CP: 36R/14B (72.0% 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.

DDT40 Hand #66 Next-Hand Probe
If B → BEB red, SR blue, CP blue | If P → BEB blue, SR red, CP red

Computed by getNextRoadPredictions() after Hand #65 of DDT40.

DDT40 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT40 Scoreboard Structure: C1:3P · C2:3B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT40 (seed 204340), 65 total hands resolve into 29 Banker wins, 29 Player wins, and 7 Ties across 27 logical columns (C1:3P · C2:3B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B). 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 DDT40 column by column shows peak runs of 4B and 4P spreading across 27 Big Road display columns: DDT40 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 29 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT40 (Seed 204340)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT40-C01 (H1–H3)3P (PPP) [DDT40]0B/3P (+0T @DDT40-C1)DDT40 Row3 Stop (Col1)NextColVsDDT40-C1: 3v3
DDT40-C02 (H4–H7)3B (BBB) [DDT40]3B/3P (+1T @DDT40-C2)DDT40 Row3 Stop (Col2)NextColVsDDT40-C1: 3v3
DDT40-C03 (H8–H8)1P (P) [DDT40]3B/4P (+0T @DDT40-C3)DDT40 Row1 Stop (Col3)NextColVsDDT40-C2: 1v3
DDT40-C04 (H9–H10)2B (BB) [DDT40]5B/4P (+0T @DDT40-C4)DDT40 Row2 Stop (Col4)NextColVsDDT40-C3: 2v1
DDT40-C05 (H11–H13)2P (PP) [DDT40]5B/6P (+1T @DDT40-C5)DDT40 Row2 Stop (Col5)NextColVsDDT40-C4: 2v2
DDT40-C06 (H14–H15)2B (BB) [DDT40]7B/6P (+0T @DDT40-C6)DDT40 Row2 Stop (Col6)NextColVsDDT40-C5: 2v2
DDT40-C07 (H16–H17)2P (PP) [DDT40]7B/8P (+0T @DDT40-C7)DDT40 Row2 Stop (Col7)NextColVsDDT40-C6: 2v2
DDT40-C08 (H18–H19)2B (BB) [DDT40]9B/8P (+0T @DDT40-C8)DDT40 Row2 Stop (Col8)NextColVsDDT40-C7: 2v2
DDT40-C09 (H20–H22)2P (PP) [DDT40]9B/10P (+1T @DDT40-C9)DDT40 Row2 Stop (Col9)NextColVsDDT40-C8: 2v2
DDT40-C10 (H23–H24)2B (BB) [DDT40]11B/10P (+0T @DDT40-C10)DDT40 Row2 Stop (Col10)NextColVsDDT40-C9: 2v2
  • DDT40 BEB #6 (BLUE): verified at DDT40 lookback-1 index 5 (31R/23B total).
  • DDT40 SR #6 (RED): verified at DDT40 lookback-2 index 5 (27R/24B total).
  • DDT40 CP #4 (BLUE): verified at DDT40 lookback-3 index 3 (36R/14B total).
DDT40 DERIVED-ROAD & CUT-CARD PROBE

DDT40 Lookback Split (31R/23B BEB · 27R/24B SR · 36R/14B 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 DDT40, Big Eye Boy prints 31 Red (57.4%) and 23 Blue marks, Small Road prints 27 Red (52.9%) and 24 Blue marks, and Cockroach Pig prints 36 Red (72.0%) and 14 Blue marks.

At the DDT40 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP BLUE and Player → BEB BLUE / SR RED / CP RED for DDT40.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT40 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT40, 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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