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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT11 (SEED 204311)

Double-Double Twin Shoe DDT11: 82-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT11 (seed 204311) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 82 dealt 8-deck hands (38 Banker, 36 Player, 8 Tie). Its 35 logical Big Road columns occupy 35 display columns (C1:3B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:1P) and generate 70 Big Eye Boy marks (24R/46B), 69 Small Road marks (29R/40B), and 67 Cockroach Pig marks (48R/19B).

Verified 8-Deck Hands
82 (DDT11)
Outcome Split
38B / 36P / 8T
Peak Streaks
4B · 4P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 82 Hands

Read the Board at Table Speed

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

DDT11 (seed 204311): 82 hands (38B / 36P / 8T), peak streaks 4B & 4P across 35 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)
DDT11 Big Eye Boy Entry #7

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.

DDT11 Small Road Entry #2

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

DDT11 Cockroach Pig Entry #3

This bead is at Row 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

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

DDT11 8-Deck Hand Distribution
82 Hands (38 Banker / 36 Player / 8 Tie)

Seed 204311 opening column signature: C1:3B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:1P.

DDT11 Big Road Span & Max Streaks
Max 4B / Max 4P Across 35 Logical Cols (35 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.

DDT11 Big Eye Boy Rule Breakdown
70 Marks (24R / 46B · 34.3% Red across 34 Display Cols)

Rule 1: 33 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 37.

DDT11 Small Road & Cockroach Pig Tally
SR: 29R/40B (42.0% Red) · CP: 48R/19B (71.6% 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.

DDT11 Hand #83 Next-Hand Probe
If B → BEB red, SR red, CP red | If P → BEB blue, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #82 of DDT11.

DDT11 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT11 Scoreboard Structure: C1:3B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:1P

In catalog shoe DDT11 (seed 204311), 82 total hands resolve into 38 Banker wins, 36 Player wins, and 8 Ties across 35 logical columns (C1:3B · C2:1P · 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 DDT11 column by column shows peak runs of 4B and 4P spreading across 35 Big Road display columns: DDT11 records 33 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 37 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT11 (Seed 204311)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT11-C01 (H1–H4)3B (BBB) [DDT11]3B/0P (+1T @DDT11-C1)DDT11 Row3 Stop (Col1)NextColVsDDT11-C1: 3v3
DDT11-C02 (H5–H5)1P (P) [DDT11]3B/1P (+0T @DDT11-C2)DDT11 Row1 Stop (Col2)NextColVsDDT11-C1: 1v3
DDT11-C03 (H6–H7)2B (BB) [DDT11]5B/1P (+0T @DDT11-C3)DDT11 Row2 Stop (Col3)NextColVsDDT11-C2: 2v1
DDT11-C04 (H8–H9)2P (PP) [DDT11]5B/3P (+0T @DDT11-C4)DDT11 Row2 Stop (Col4)NextColVsDDT11-C3: 2v2
DDT11-C05 (H10–H12)2B (BB) [DDT11]7B/3P (+1T @DDT11-C5)DDT11 Row2 Stop (Col5)NextColVsDDT11-C4: 2v2
DDT11-C06 (H13–H14)2P (PP) [DDT11]7B/5P (+0T @DDT11-C6)DDT11 Row2 Stop (Col6)NextColVsDDT11-C5: 2v2
DDT11-C07 (H15–H16)2B (BB) [DDT11]9B/5P (+0T @DDT11-C7)DDT11 Row2 Stop (Col7)NextColVsDDT11-C6: 2v2
DDT11-C08 (H17–H17)1P (P) [DDT11]9B/6P (+0T @DDT11-C8)DDT11 Row1 Stop (Col8)NextColVsDDT11-C7: 1v2
DDT11-C09 (H18–H19)2B (BB) [DDT11]11B/6P (+0T @DDT11-C9)DDT11 Row2 Stop (Col9)NextColVsDDT11-C8: 2v1
DDT11-C10 (H20–H23)3P (PPP) [DDT11]11B/9P (+1T @DDT11-C10)DDT11 Row3 Stop (Col10)NextColVsDDT11-C9: 3v2
  • DDT11 BEB #7 (RED): verified at DDT11 lookback-1 index 6 (24R/46B total).
  • DDT11 SR #2 (BLUE): verified at DDT11 lookback-2 index 1 (29R/40B total).
  • DDT11 CP #3 (BLUE): verified at DDT11 lookback-3 index 2 (48R/19B total).
DDT11 DERIVED-ROAD & CUT-CARD PROBE

DDT11 Lookback Split (24R/46B BEB · 29R/40B SR · 48R/19B 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 DDT11, Big Eye Boy prints 24 Red (34.3%) and 46 Blue marks, Small Road prints 29 Red (42.0%) and 40 Blue marks, and Cockroach Pig prints 48 Red (71.6%) and 19 Blue marks.

At the DDT11 cut card after Hand #82, probing Hand #83 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP RED and Player → BEB BLUE / SR BLUE / CP BLUE for DDT11.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT11 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT11, 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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