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TWIN 2x2 COLUMN SYMMETRY · CATALOG DDT39 (SEED 204339)

Double-Double Twin Shoe DDT39: 78-Hand 8-Deck Scoreboard & Derived-Road Audit

Catalog shoe DDT39 (seed 204339) captures a repeating 2-bead BB-PP-BB-PP twin columns testing Rule 1 and Rule 2 Case 1 in tandem across 78 dealt 8-deck hands (37 Banker, 35 Player, 6 Tie). Its 35 logical Big Road columns occupy 35 display columns (C1:1B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P) and generate 70 Big Eye Boy marks (32R/38B), 69 Small Road marks (32R/37B), and 67 Cockroach Pig marks (46R/21B).

Verified 8-Deck Hands
78 (DDT39)
Outcome Split
37B / 35P / 6T
Peak Streaks
4B · 4P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 78 Hands

Read the Board at Table Speed

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

DDT39 (seed 204339): 78 hands (37B / 35P / 6T), 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)
DDT39 Big Eye Boy Entry #5

Column 4 has 2 beads. Column 3 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

DDT39 Small Road Entry #5

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

DDT39 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

DDT39 8-Deck Hand Distribution
78 Hands (37 Banker / 35 Player / 6 Tie)

Seed 204339 opening column signature: C1:1B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P.

DDT39 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.

DDT39 Big Eye Boy Rule Breakdown
70 Marks (32R / 38B · 45.7% Red across 32 Display Cols)

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

DDT39 Small Road & Cockroach Pig Tally
SR: 32R/37B (46.4% Red) · CP: 46R/21B (68.7% 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.

DDT39 Hand #79 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed by getNextRoadPredictions() after Hand #78 of DDT39.

DDT39 COLUMN GEOMETRY (DOUBLE-DOUBLE-TWIN)

DDT39 Scoreboard Structure: C1:1B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P

In catalog shoe DDT39 (seed 204339), 78 total hands resolve into 37 Banker wins, 35 Player wins, and 6 Ties across 35 logical columns (C1:1B · C2:1P · C3:2B · C4:2P · C5:2B · C6:2P · C7:2B · C8:2P). 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 DDT39 column by column shows peak runs of 4B and 4P spreading across 35 Big Road display columns: DDT39 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 DDT39 (Seed 204339)
Column & SpanBeadsRunning TallyGrid StopDepth Pair
DDT39-C01 (H1–H1)1B (B) [DDT39]1B/0P (+0T @DDT39-C1)DDT39 Row1 Stop (Col1)NextColVsDDT39-C1: 1v1
DDT39-C02 (H2–H2)1P (P) [DDT39]1B/1P (+0T @DDT39-C2)DDT39 Row1 Stop (Col2)NextColVsDDT39-C1: 1v1
DDT39-C03 (H3–H4)2B (BB) [DDT39]3B/1P (+0T @DDT39-C3)DDT39 Row2 Stop (Col3)NextColVsDDT39-C2: 2v1
DDT39-C04 (H5–H6)2P (PP) [DDT39]3B/3P (+0T @DDT39-C4)DDT39 Row2 Stop (Col4)NextColVsDDT39-C3: 2v2
DDT39-C05 (H7–H9)2B (BB) [DDT39]5B/3P (+1T @DDT39-C5)DDT39 Row2 Stop (Col5)NextColVsDDT39-C4: 2v2
DDT39-C06 (H10–H11)2P (PP) [DDT39]5B/5P (+0T @DDT39-C6)DDT39 Row2 Stop (Col6)NextColVsDDT39-C5: 2v2
DDT39-C07 (H12–H13)2B (BB) [DDT39]7B/5P (+0T @DDT39-C7)DDT39 Row2 Stop (Col7)NextColVsDDT39-C6: 2v2
DDT39-C08 (H14–H15)2P (PP) [DDT39]7B/7P (+0T @DDT39-C8)DDT39 Row2 Stop (Col8)NextColVsDDT39-C7: 2v2
DDT39-C09 (H16–H17)2B (BB) [DDT39]9B/7P (+0T @DDT39-C9)DDT39 Row2 Stop (Col9)NextColVsDDT39-C8: 2v2
DDT39-C10 (H18–H20)2P (PP) [DDT39]9B/9P (+1T @DDT39-C10)DDT39 Row2 Stop (Col10)NextColVsDDT39-C9: 2v2
  • DDT39 BEB #5 (RED): verified at DDT39 lookback-1 index 4 (32R/38B total).
  • DDT39 SR #5 (RED): verified at DDT39 lookback-2 index 4 (32R/37B total).
  • DDT39 CP #3 (BLUE): verified at DDT39 lookback-3 index 2 (46R/21B total).
DDT39 DERIVED-ROAD & CUT-CARD PROBE

DDT39 Lookback Split (32R/38B BEB · 32R/37B SR · 46R/21B 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 DDT39, Big Eye Boy prints 32 Red (45.7%) and 38 Blue marks, Small Road prints 32 Red (46.4%) and 37 Blue marks, and Cockroach Pig prints 46 Red (68.7%) and 21 Blue marks.

At the DDT39 cut card after Hand #78, probing Hand #79 via getNextRoadPredictions() yields Banker → BEB RED / SR RED / CP BLUE and Player → BEB BLUE / SR BLUE / CP RED for DDT39.

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in DDT39 marks Blue because the 2-bead column is about to end.
TruthAt Row 2 in DDT39, 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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