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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT04 (SEED 204304)

Double-Double Twin Shoe DDT04: 65-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT04 (seed 204304) 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 (31 Banker, 28 Player, 6 Tie). Its 30 logical Big Road columns occupy 30 display columns (C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 57 Big Eye Boy marks (28R/29B), 56 Small Road marks (28R/28B), and 55 Cockroach Pig marks (37R/18B).

Verified 8-Deck Hands
65 (DDT04)
Outcome Split
31B / 28P / 6T
Peak Streaks
4B · 4P
Big Road Columns
30 Cols
Engine-Verified Scoreboard · 65 Hands

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

DDT04 (seed 204304): 65 hands (31B / 28P / 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)
DDT04 Big Eye Boy Entry #6

Column 5 has 2 beads. Column 4 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 2 beads. Column 4 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

DDT04 Small Road Entry #5

Column 5 has 2 beads. Column 3 has 1 bead. 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 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

DDT04 Cockroach Pig Entry #4

Column 5 has 2 beads. Column 2 has 1 bead. 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 1 bead. 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

DDT04 8-Deck Hand Distribution
65 Hands (31 Banker / 28 Player / 6 Tie)

Seed 204304 opening column signature: C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT04 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.

DDT04 Big Eye Boy Rule Breakdown
57 Marks (28R / 29B · 49.1% Red across 24 Display Cols)

Rule 1: 28 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

DDT04 Small Road & Cockroach Pig Tally
SR: 28R/28B (50.0% Red) · CP: 37R/18B (67.3% 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.

DDT04 Hand #66 Next-Hand Probe
If B → BEB red, SR blue, CP red | If P → BEB blue, SR red, CP blue

Computed by getNextRoadPredictions() after Hand #65 of DDT04.

DDT04 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT04 Scoreboard Structure: C1:1P · C2:1B · C3:1P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT04 (seed 204304), 65 total hands resolve into 31 Banker wins, 28 Player wins, and 6 Ties across 30 logical columns (C1:1P · C2:1B · 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 DDT04 column by column shows peak runs of 4B and 4P spreading across 30 Big Road display columns: DDT04 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 29 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT04 (Seed 204304)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT04-C01 (H1–H1)1P (P) [DDT04]0B/1P (+0T @DDT04-C1)DDT04 Row1 Stop (Col1)NextColVsDDT04-C1: 1v1
DDT04-C02 (H2–H2)1B (B) [DDT04]1B/1P (+0T @DDT04-C2)DDT04 Row1 Stop (Col2)NextColVsDDT04-C1: 1v1
DDT04-C03 (H3–H4)1P (P) [DDT04]1B/2P (+1T @DDT04-C3)DDT04 Row1 Stop (Col3)NextColVsDDT04-C2: 1v1
DDT04-C04 (H5–H6)2B (BB) [DDT04]3B/2P (+0T @DDT04-C4)DDT04 Row2 Stop (Col4)NextColVsDDT04-C3: 2v1
DDT04-C05 (H7–H8)2P (PP) [DDT04]3B/4P (+0T @DDT04-C5)DDT04 Row2 Stop (Col5)NextColVsDDT04-C4: 2v2
DDT04-C06 (H9–H10)2B (BB) [DDT04]5B/4P (+0T @DDT04-C6)DDT04 Row2 Stop (Col6)NextColVsDDT04-C5: 2v2
DDT04-C07 (H11–H13)2P (PP) [DDT04]5B/6P (+1T @DDT04-C7)DDT04 Row2 Stop (Col7)NextColVsDDT04-C6: 2v2
DDT04-C08 (H14–H15)2B (BB) [DDT04]7B/6P (+0T @DDT04-C8)DDT04 Row2 Stop (Col8)NextColVsDDT04-C7: 2v2
DDT04-C09 (H16–H17)2P (PP) [DDT04]7B/8P (+0T @DDT04-C9)DDT04 Row2 Stop (Col9)NextColVsDDT04-C8: 2v2
DDT04-C10 (H18–H19)2B (BB) [DDT04]9B/8P (+0T @DDT04-C10)DDT04 Row2 Stop (Col10)NextColVsDDT04-C9: 2v2
  • DDT04 BEB #6 (RED): verified at DDT04 lookback-1 index 5 (28R/29B total).
  • DDT04 SR #5 (BLUE): verified at DDT04 lookback-2 index 4 (28R/28B total).
  • DDT04 CP #4 (BLUE): verified at DDT04 lookback-3 index 3 (37R/18B total).
DDT04 DERIVED-ROAD & CUT-CARD PROBE

DDT04 Lookback Split (28R/29B BEB · 28R/28B SR · 37R/18B 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 DDT04, Big Eye Boy prints 28 Red (49.1%) and 29 Blue marks, Small Road prints 28 Red (50.0%) and 28 Blue marks, and Cockroach Pig prints 37 Red (67.3%) and 18 Blue marks.

At the DDT04 cut card after Hand #65, probing Hand #66 via getNextRoadPredictions() yields Banker → BEB RED / SR BLUE / CP RED and Player → BEB BLUE / SR RED / CP BLUE for DDT04.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT04 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT04, 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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