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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT32 (SEED 204332)

Double-Double Twin Shoe DDT32: 79-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT32 (seed 204332) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 79 dealt 8-deck hands (38 Banker, 37 Player, 4 Tie). Its 34 logical Big Road columns occupy 34 display columns (C1:3P · C2:3B · C3:4P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B) and generate 71 Big Eye Boy marks (30R/41B), 68 Small Road marks (30R/38B), and 64 Cockroach Pig marks (48R/16B).

Verified 8-Deck Hands
79 (DDT32)
Outcome Split
38B / 37P / 4T
Peak Streaks
4B · 4P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 79 Hands

Read the Board at Table Speed

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

DDT32 (seed 204332): 79 hands (38B / 37P / 4T), peak streaks 4B & 4P across 34 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)
DDT32 Big Eye Boy Entry #4

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.

DDT32 Small Road Entry #3

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

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns 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.

DDT32 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

DDT32 8-Deck Hand Distribution
79 Hands (38 Banker / 37 Player / 4 Tie)

Seed 204332 opening column signature: C1:3P · C2:3B · C3:4P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B.

DDT32 Big Road Span & Max Streaks
Max 4B / Max 4P Across 34 Logical Cols (34 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.

DDT32 Big Eye Boy Rule Breakdown
71 Marks (30R / 41B · 42.3% Red across 32 Display Cols)

Rule 1: 32 marks · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

DDT32 Small Road & Cockroach Pig Tally
SR: 30R/38B (44.1% Red) · CP: 48R/16B (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.

DDT32 Hand #80 Next-Hand Probe
If B → BEB blue, SR red, CP red | If P → BEB red, SR blue, CP blue

Computed by getNextRoadPredictions() after Hand #79 of DDT32.

DDT32 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT32 Scoreboard Structure: C1:3P · C2:3B · C3:4P · C4:2B · C5:2P · C6:2B · C7:2P · C8:2B

In catalog shoe DDT32 (seed 204332), 79 total hands resolve into 38 Banker wins, 37 Player wins, and 4 Ties across 34 logical columns (C1:3P · C2:3B · C3:4P · 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 DDT32 column by column shows peak runs of 4B and 4P spreading across 34 Big Road display columns: DDT32 records 32 Rule 1 new-column checks, 0 Rule 2 Case 1 covered-row checks, 0 Rule 2 Case 2 one-past-bottom breaks, and 39 Rule 2 Case 3 deep-tail checks.

Opening 10 Big Road Columns of DDT32 (Seed 204332)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT32-C01 (H1–H4)3P (PPP) [DDT32]0B/3P (+1T @DDT32-C1)DDT32 Row3 Stop (Col1)NextColVsDDT32-C1: 3v3
DDT32-C02 (H5–H7)3B (BBB) [DDT32]3B/3P (+0T @DDT32-C2)DDT32 Row3 Stop (Col2)NextColVsDDT32-C1: 3v3
DDT32-C03 (H8–H11)4P (PPPP) [DDT32]3B/7P (+0T @DDT32-C3)DDT32 Row4 Stop (Col3)NextColVsDDT32-C2: 4v3
DDT32-C04 (H12–H13)2B (BB) [DDT32]5B/7P (+0T @DDT32-C4)DDT32 Row2 Stop (Col4)NextColVsDDT32-C3: 2v4
DDT32-C05 (H14–H15)2P (PP) [DDT32]5B/9P (+0T @DDT32-C5)DDT32 Row2 Stop (Col5)NextColVsDDT32-C4: 2v2
DDT32-C06 (H16–H18)2B (BB) [DDT32]7B/9P (+1T @DDT32-C6)DDT32 Row2 Stop (Col6)NextColVsDDT32-C5: 2v2
DDT32-C07 (H19–H20)2P (PP) [DDT32]7B/11P (+0T @DDT32-C7)DDT32 Row2 Stop (Col7)NextColVsDDT32-C6: 2v2
DDT32-C08 (H21–H22)2B (BB) [DDT32]9B/11P (+0T @DDT32-C8)DDT32 Row2 Stop (Col8)NextColVsDDT32-C7: 2v2
DDT32-C09 (H23–H24)2P (PP) [DDT32]9B/13P (+0T @DDT32-C9)DDT32 Row2 Stop (Col9)NextColVsDDT32-C8: 2v2
DDT32-C10 (H25–H28)4B (BBBB) [DDT32]13B/13P (+0T @DDT32-C10)DDT32 Row4 Stop (Col10)NextColVsDDT32-C9: 4v2
  • DDT32 BEB #4 (RED): verified at DDT32 lookback-1 index 3 (30R/41B total).
  • DDT32 SR #3 (BLUE): verified at DDT32 lookback-2 index 2 (30R/38B total).
  • DDT32 CP #4 (BLUE): verified at DDT32 lookback-3 index 3 (48R/16B total).
DDT32 DERIVED-ROAD & CUT-CARD PROBE

DDT32 Lookback Split (30R/41B BEB · 30R/38B SR · 48R/16B 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 DDT32, Big Eye Boy prints 30 Red (42.3%) and 41 Blue marks, Small Road prints 30 Red (44.1%) and 38 Blue marks, and Cockroach Pig prints 48 Red (75.0%) and 16 Blue marks.

At the DDT32 cut card after Hand #79, probing Hand #80 via getNextRoadPredictions() yields Banker → BEB BLUE / SR RED / CP RED and Player → BEB RED / SR BLUE / CP BLUE for DDT32.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT32 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT32, 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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